4-July-19.ipynb

{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Category with highest number of apps\n",
    "Category with lowest number of apps\n",
    "Category with highest user rating\n",
    "App with highest downloads\n",
    "Category with highest average rating count\n",
    "Average user rating for free apps\n",
    "Average user rating for paid apps\n",
    "Category with highest average user rating for paid apps\n",
    "Most frequent Price point > 0\n",
    "Compare average user rating for paid vs free gaming apps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>id</th>\n",
       "      <th>track_name</th>\n",
       "      <th>size_bytes</th>\n",
       "      <th>currency</th>\n",
       "      <th>price</th>\n",
       "      <th>rating_count_tot</th>\n",
       "      <th>rating_count_ver</th>\n",
       "      <th>user_rating</th>\n",
       "      <th>user_rating_ver</th>\n",
       "      <th>ver</th>\n",
       "      <th>cont_rating</th>\n",
       "      <th>prime_genre</th>\n",
       "      <th>sup_devices.num</th>\n",
       "      <th>ipadSc_urls.num</th>\n",
       "      <th>lang.num</th>\n",
       "      <th>vpp_lic</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>281656475</td>\n",
       "      <td>PAC-MAN Premium</td>\n",
       "      <td>100788224</td>\n",
       "      <td>USD</td>\n",
       "      <td>3.99</td>\n",
       "      <td>21292</td>\n",
       "      <td>26</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>6.3.5</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>281796108</td>\n",
       "      <td>Evernote - stay organized</td>\n",
       "      <td>158578688</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>161065</td>\n",
       "      <td>26</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>8.2.2</td>\n",
       "      <td>4+</td>\n",
       "      <td>Productivity</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>23</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>281940292</td>\n",
       "      <td>WeatherBug - Local Weather, Radar, Maps, Alerts</td>\n",
       "      <td>100524032</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>188583</td>\n",
       "      <td>2822</td>\n",
       "      <td>3.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>5.0.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Weather</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>282614216</td>\n",
       "      <td>eBay: Best App to Buy, Sell, Save! Online Shop...</td>\n",
       "      <td>128512000</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>262241</td>\n",
       "      <td>649</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>5.10.0</td>\n",
       "      <td>12+</td>\n",
       "      <td>Shopping</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>282935706</td>\n",
       "      <td>Bible</td>\n",
       "      <td>92774400</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>985920</td>\n",
       "      <td>5320</td>\n",
       "      <td>4.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.5.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Reference</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>45</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>6</td>\n",
       "      <td>283619399</td>\n",
       "      <td>Shanghai Mahjong</td>\n",
       "      <td>10485713</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.99</td>\n",
       "      <td>8253</td>\n",
       "      <td>5516</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1.8</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>47</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>7</td>\n",
       "      <td>283646709</td>\n",
       "      <td>PayPal - Send and request money safely</td>\n",
       "      <td>227795968</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>119487</td>\n",
       "      <td>879</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>6.12.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Finance</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>284035177</td>\n",
       "      <td>Pandora - Music &amp; Radio</td>\n",
       "      <td>130242560</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1126879</td>\n",
       "      <td>3594</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>8.4.1</td>\n",
       "      <td>12+</td>\n",
       "      <td>Music</td>\n",
       "      <td>37</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9</td>\n",
       "      <td>284666222</td>\n",
       "      <td>PCalc - The Best Calculator</td>\n",
       "      <td>49250304</td>\n",
       "      <td>USD</td>\n",
       "      <td>9.99</td>\n",
       "      <td>1117</td>\n",
       "      <td>4</td>\n",
       "      <td>4.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6.6</td>\n",
       "      <td>4+</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>10</td>\n",
       "      <td>284736660</td>\n",
       "      <td>Ms. PAC-MAN</td>\n",
       "      <td>70023168</td>\n",
       "      <td>USD</td>\n",
       "      <td>3.99</td>\n",
       "      <td>7885</td>\n",
       "      <td>40</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0.4</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11</td>\n",
       "      <td>284791396</td>\n",
       "      <td>Solitaire by MobilityWare</td>\n",
       "      <td>49618944</td>\n",
       "      <td>USD</td>\n",
       "      <td>4.99</td>\n",
       "      <td>76720</td>\n",
       "      <td>4017</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.10.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>4</td>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>12</td>\n",
       "      <td>284815117</td>\n",
       "      <td>SCRABBLE Premium</td>\n",
       "      <td>227547136</td>\n",
       "      <td>USD</td>\n",
       "      <td>7.99</td>\n",
       "      <td>105776</td>\n",
       "      <td>166</td>\n",
       "      <td>3.5</td>\n",
       "      <td>2.5</td>\n",
       "      <td>5.19.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>13</td>\n",
       "      <td>284815942</td>\n",
       "      <td>Google – Search made just for mobile</td>\n",
       "      <td>179979264</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>479440</td>\n",
       "      <td>203</td>\n",
       "      <td>3.5</td>\n",
       "      <td>4.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>17+</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>37</td>\n",
       "      <td>4</td>\n",
       "      <td>33</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>14</td>\n",
       "      <td>284847138</td>\n",
       "      <td>Bank of America - Mobile Banking</td>\n",
       "      <td>160925696</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>119773</td>\n",
       "      <td>2336</td>\n",
       "      <td>3.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>7.3.8</td>\n",
       "      <td>4+</td>\n",
       "      <td>Finance</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>15</td>\n",
       "      <td>284862767</td>\n",
       "      <td>FreeCell</td>\n",
       "      <td>55153664</td>\n",
       "      <td>USD</td>\n",
       "      <td>4.99</td>\n",
       "      <td>6340</td>\n",
       "      <td>668</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.0.3</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>16</td>\n",
       "      <td>284876795</td>\n",
       "      <td>TripAdvisor Hotels Flights Restaurants</td>\n",
       "      <td>207907840</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>56194</td>\n",
       "      <td>87</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>21.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Travel</td>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>26</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>17</td>\n",
       "      <td>284882215</td>\n",
       "      <td>Facebook</td>\n",
       "      <td>389879808</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2974676</td>\n",
       "      <td>212</td>\n",
       "      <td>3.5</td>\n",
       "      <td>3.5</td>\n",
       "      <td>95.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Social Networking</td>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>29</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>18</td>\n",
       "      <td>284910350</td>\n",
       "      <td>Yelp - Nearby Restaurants, Shopping &amp; Services</td>\n",
       "      <td>167407616</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>223885</td>\n",
       "      <td>3726</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>11.15.0</td>\n",
       "      <td>12+</td>\n",
       "      <td>Travel</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>18</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>20</td>\n",
       "      <td>284993459</td>\n",
       "      <td>Shazam - Discover music, artists, videos &amp; lyrics</td>\n",
       "      <td>147093504</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>402925</td>\n",
       "      <td>136</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>11.0.3</td>\n",
       "      <td>12+</td>\n",
       "      <td>Music</td>\n",
       "      <td>37</td>\n",
       "      <td>3</td>\n",
       "      <td>16</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>21</td>\n",
       "      <td>285005463</td>\n",
       "      <td>Crash Bandicoot Nitro Kart 3D</td>\n",
       "      <td>10735026</td>\n",
       "      <td>USD</td>\n",
       "      <td>2.99</td>\n",
       "      <td>31456</td>\n",
       "      <td>4178</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.0.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>47</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>22</td>\n",
       "      <td>285946052</td>\n",
       "      <td>iQuran</td>\n",
       "      <td>70707916</td>\n",
       "      <td>USD</td>\n",
       "      <td>1.99</td>\n",
       "      <td>2929</td>\n",
       "      <td>966</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>3.3</td>\n",
       "      <td>4+</td>\n",
       "      <td>Reference</td>\n",
       "      <td>43</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>23</td>\n",
       "      <td>285994151</td>\n",
       "      <td>:) Sudoku +</td>\n",
       "      <td>6169600</td>\n",
       "      <td>USD</td>\n",
       "      <td>2.99</td>\n",
       "      <td>11447</td>\n",
       "      <td>781</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.2.6</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>24</td>\n",
       "      <td>286058814</td>\n",
       "      <td>Yahoo Sports - Teams, Scores, News &amp; Highlights</td>\n",
       "      <td>130583552</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>137951</td>\n",
       "      <td>131</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>6.9</td>\n",
       "      <td>4+</td>\n",
       "      <td>Sports</td>\n",
       "      <td>37</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>25</td>\n",
       "      <td>286070473</td>\n",
       "      <td>Mileage Log | Fahrtenbuch</td>\n",
       "      <td>71203840</td>\n",
       "      <td>USD</td>\n",
       "      <td>5.99</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0.5</td>\n",
       "      <td>4+</td>\n",
       "      <td>Business</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>27</td>\n",
       "      <td>286799607</td>\n",
       "      <td>Cleartune - Chromatic Tuner</td>\n",
       "      <td>11423008</td>\n",
       "      <td>USD</td>\n",
       "      <td>3.99</td>\n",
       "      <td>3241</td>\n",
       "      <td>297</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.1.3</td>\n",
       "      <td>4+</td>\n",
       "      <td>Music</td>\n",
       "      <td>43</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>28</td>\n",
       "      <td>286906691</td>\n",
       "      <td>Lifesum – Inspiring healthy lifestyle app</td>\n",
       "      <td>188017664</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5795</td>\n",
       "      <td>12</td>\n",
       "      <td>3.5</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.4.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Health &amp; Fitness</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>29</td>\n",
       "      <td>286911400</td>\n",
       "      <td>Hangman.</td>\n",
       "      <td>4765696</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>42316</td>\n",
       "      <td>248</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>2.0.6</td>\n",
       "      <td>9+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>31</td>\n",
       "      <td>288113403</td>\n",
       "      <td>iTranslate - Language Translator &amp; Dictionary</td>\n",
       "      <td>287933440</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>123215</td>\n",
       "      <td>25</td>\n",
       "      <td>3.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>10.5.4</td>\n",
       "      <td>4+</td>\n",
       "      <td>Productivity</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>23</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>32</td>\n",
       "      <td>288120394</td>\n",
       "      <td>TouchOSC</td>\n",
       "      <td>4263936</td>\n",
       "      <td>USD</td>\n",
       "      <td>4.99</td>\n",
       "      <td>782</td>\n",
       "      <td>7</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.9.8</td>\n",
       "      <td>4+</td>\n",
       "      <td>Music</td>\n",
       "      <td>43</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>33</td>\n",
       "      <td>288419283</td>\n",
       "      <td>RadarScope</td>\n",
       "      <td>172772352</td>\n",
       "      <td>USD</td>\n",
       "      <td>9.99</td>\n",
       "      <td>3449</td>\n",
       "      <td>23</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>3.4.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Weather</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7167</th>\n",
       "      <td>10995</td>\n",
       "      <td>1182265441</td>\n",
       "      <td>脱出ゲーム　わたしをみつけて　-おじいさんとわたしの物語-</td>\n",
       "      <td>177498112</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7168</th>\n",
       "      <td>10998</td>\n",
       "      <td>1182331762</td>\n",
       "      <td>Escape from the frigid Igloo.</td>\n",
       "      <td>89188352</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1.0.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7169</th>\n",
       "      <td>11002</td>\n",
       "      <td>1182568288</td>\n",
       "      <td>Talking Santa - Video santa claus calls you</td>\n",
       "      <td>32685056</td>\n",
       "      <td>USD</td>\n",
       "      <td>2.99</td>\n",
       "      <td>9</td>\n",
       "      <td>3</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.0.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7170</th>\n",
       "      <td>11010</td>\n",
       "      <td>1183234072</td>\n",
       "      <td>CTFxCmoji</td>\n",
       "      <td>26077184</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>39</td>\n",
       "      <td>4</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.3</td>\n",
       "      <td>9+</td>\n",
       "      <td>Social Networking</td>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7171</th>\n",
       "      <td>11013</td>\n",
       "      <td>1183260922</td>\n",
       "      <td>Room Escape Game - Santa's Room</td>\n",
       "      <td>143346688</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7172</th>\n",
       "      <td>11016</td>\n",
       "      <td>1183548754</td>\n",
       "      <td>Rescue the Enchanter</td>\n",
       "      <td>242505728</td>\n",
       "      <td>USD</td>\n",
       "      <td>3.99</td>\n",
       "      <td>55</td>\n",
       "      <td>29</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7173</th>\n",
       "      <td>11019</td>\n",
       "      <td>1183709176</td>\n",
       "      <td>My Diary - 你的名字非官方</td>\n",
       "      <td>18164736</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7174</th>\n",
       "      <td>11022</td>\n",
       "      <td>1183856228</td>\n",
       "      <td>VR Thrills: Roller Coaster 360 (Google Cardboard)</td>\n",
       "      <td>169535488</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>14</td>\n",
       "      <td>4</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.3.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7175</th>\n",
       "      <td>11024</td>\n",
       "      <td>1183986102</td>\n",
       "      <td>Santa Kids Hair Salon - Christmas Makeover Games</td>\n",
       "      <td>64244736</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>41</td>\n",
       "      <td>19</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>1.3</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>25</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7176</th>\n",
       "      <td>11027</td>\n",
       "      <td>1184711626</td>\n",
       "      <td>Human Juggling Cup</td>\n",
       "      <td>184324096</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7177</th>\n",
       "      <td>11031</td>\n",
       "      <td>1184800011</td>\n",
       "      <td>Again - room escape game</td>\n",
       "      <td>33946624</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>11</td>\n",
       "      <td>8</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1.1.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7178</th>\n",
       "      <td>11033</td>\n",
       "      <td>1185209084</td>\n",
       "      <td>Saloons Unleashed</td>\n",
       "      <td>327731200</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7179</th>\n",
       "      <td>11035</td>\n",
       "      <td>1185328193</td>\n",
       "      <td>Fam — Group video calling for iMessage</td>\n",
       "      <td>113382400</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>279</td>\n",
       "      <td>5</td>\n",
       "      <td>3.5</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.6.41</td>\n",
       "      <td>4+</td>\n",
       "      <td>Social Networking</td>\n",
       "      <td>37</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7180</th>\n",
       "      <td>11036</td>\n",
       "      <td>1185365336</td>\n",
       "      <td>Laurie Hernandez the Human Emoji</td>\n",
       "      <td>94008320</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>26</td>\n",
       "      <td>3</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0.5</td>\n",
       "      <td>9+</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>37</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7181</th>\n",
       "      <td>11038</td>\n",
       "      <td>1185428381</td>\n",
       "      <td>剑倚手游</td>\n",
       "      <td>178160640</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7182</th>\n",
       "      <td>11040</td>\n",
       "      <td>1185538497</td>\n",
       "      <td>camera for filter</td>\n",
       "      <td>9362432</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0.3</td>\n",
       "      <td>4+</td>\n",
       "      <td>Photo &amp; Video</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7183</th>\n",
       "      <td>11041</td>\n",
       "      <td>1185580782</td>\n",
       "      <td>Survivalcraft 2</td>\n",
       "      <td>57349120</td>\n",
       "      <td>USD</td>\n",
       "      <td>3.99</td>\n",
       "      <td>292</td>\n",
       "      <td>292</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0.20.1</td>\n",
       "      <td>9+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7184</th>\n",
       "      <td>11042</td>\n",
       "      <td>1185731859</td>\n",
       "      <td>剑客情缘-高爆率高掉落天天疯玩</td>\n",
       "      <td>171944960</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7185</th>\n",
       "      <td>11043</td>\n",
       "      <td>1185777521</td>\n",
       "      <td>问仙奇遇-新玩法新套装嗨到爆</td>\n",
       "      <td>208026624</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7186</th>\n",
       "      <td>11050</td>\n",
       "      <td>1186108496</td>\n",
       "      <td>脱出ゲーム - 書道教室 -  \"漢字\"の謎に満ちた部屋からの 脱出</td>\n",
       "      <td>85580800</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0.1</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7187</th>\n",
       "      <td>11051</td>\n",
       "      <td>1186126548</td>\n",
       "      <td>Escape Game: illumination</td>\n",
       "      <td>52342784</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>23</td>\n",
       "      <td>23</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7188</th>\n",
       "      <td>11060</td>\n",
       "      <td>1186384912</td>\n",
       "      <td>Demolition Derby Virtual Reality (VR) Racing</td>\n",
       "      <td>168774656</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>18</td>\n",
       "      <td>18</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1.0.0</td>\n",
       "      <td>12+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7189</th>\n",
       "      <td>11074</td>\n",
       "      <td>1187128255</td>\n",
       "      <td>飞刀传奇-动作武侠热血江湖即时PK传奇（登录爆金装）</td>\n",
       "      <td>537462784</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.1.0</td>\n",
       "      <td>9+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7190</th>\n",
       "      <td>11077</td>\n",
       "      <td>1187279979</td>\n",
       "      <td>Add-Ons Studio for Minecraft</td>\n",
       "      <td>22999040</td>\n",
       "      <td>USD</td>\n",
       "      <td>2.99</td>\n",
       "      <td>97</td>\n",
       "      <td>97</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7191</th>\n",
       "      <td>11079</td>\n",
       "      <td>1187282363</td>\n",
       "      <td>Plead the Fifth - The Game</td>\n",
       "      <td>27853824</td>\n",
       "      <td>USD</td>\n",
       "      <td>2.99</td>\n",
       "      <td>11</td>\n",
       "      <td>0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.1.1</td>\n",
       "      <td>17+</td>\n",
       "      <td>Games</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7192</th>\n",
       "      <td>11081</td>\n",
       "      <td>1187617475</td>\n",
       "      <td>Kubik</td>\n",
       "      <td>126644224</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>142</td>\n",
       "      <td>75</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>1.3</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7193</th>\n",
       "      <td>11082</td>\n",
       "      <td>1187682390</td>\n",
       "      <td>VR Roller-Coaster</td>\n",
       "      <td>120760320</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>30</td>\n",
       "      <td>30</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.9</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7194</th>\n",
       "      <td>11087</td>\n",
       "      <td>1187779532</td>\n",
       "      <td>Bret Michaels Emojis + Lyric Keyboard</td>\n",
       "      <td>111322112</td>\n",
       "      <td>USD</td>\n",
       "      <td>1.99</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0.2</td>\n",
       "      <td>9+</td>\n",
       "      <td>Utilities</td>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7195</th>\n",
       "      <td>11089</td>\n",
       "      <td>1187838770</td>\n",
       "      <td>VR Roller Coaster World - Virtual Reality</td>\n",
       "      <td>97235968</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>85</td>\n",
       "      <td>32</td>\n",
       "      <td>4.5</td>\n",
       "      <td>4.5</td>\n",
       "      <td>1.0.15</td>\n",
       "      <td>12+</td>\n",
       "      <td>Games</td>\n",
       "      <td>38</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7196</th>\n",
       "      <td>11097</td>\n",
       "      <td>1188375727</td>\n",
       "      <td>Escape the Sweet Shop Series</td>\n",
       "      <td>90898432</td>\n",
       "      <td>USD</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4+</td>\n",
       "      <td>Games</td>\n",
       "      <td>40</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>7197 rows × 17 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      Unnamed: 0          id  \\\n",
       "0              1   281656475   \n",
       "1              2   281796108   \n",
       "2              3   281940292   \n",
       "3              4   282614216   \n",
       "4              5   282935706   \n",
       "5              6   283619399   \n",
       "6              7   283646709   \n",
       "7              8   284035177   \n",
       "8              9   284666222   \n",
       "9             10   284736660   \n",
       "10            11   284791396   \n",
       "11            12   284815117   \n",
       "12            13   284815942   \n",
       "13            14   284847138   \n",
       "14            15   284862767   \n",
       "15            16   284876795   \n",
       "16            17   284882215   \n",
       "17            18   284910350   \n",
       "18            20   284993459   \n",
       "19            21   285005463   \n",
       "20            22   285946052   \n",
       "21            23   285994151   \n",
       "22            24   286058814   \n",
       "23            25   286070473   \n",
       "24            27   286799607   \n",
       "25            28   286906691   \n",
       "26            29   286911400   \n",
       "27            31   288113403   \n",
       "28            32   288120394   \n",
       "29            33   288419283   \n",
       "...          ...         ...   \n",
       "7167       10995  1182265441   \n",
       "7168       10998  1182331762   \n",
       "7169       11002  1182568288   \n",
       "7170       11010  1183234072   \n",
       "7171       11013  1183260922   \n",
       "7172       11016  1183548754   \n",
       "7173       11019  1183709176   \n",
       "7174       11022  1183856228   \n",
       "7175       11024  1183986102   \n",
       "7176       11027  1184711626   \n",
       "7177       11031  1184800011   \n",
       "7178       11033  1185209084   \n",
       "7179       11035  1185328193   \n",
       "7180       11036  1185365336   \n",
       "7181       11038  1185428381   \n",
       "7182       11040  1185538497   \n",
       "7183       11041  1185580782   \n",
       "7184       11042  1185731859   \n",
       "7185       11043  1185777521   \n",
       "7186       11050  1186108496   \n",
       "7187       11051  1186126548   \n",
       "7188       11060  1186384912   \n",
       "7189       11074  1187128255   \n",
       "7190       11077  1187279979   \n",
       "7191       11079  1187282363   \n",
       "7192       11081  1187617475   \n",
       "7193       11082  1187682390   \n",
       "7194       11087  1187779532   \n",
       "7195       11089  1187838770   \n",
       "7196       11097  1188375727   \n",
       "\n",
       "                                             track_name  size_bytes currency  \\\n",
       "0                                       PAC-MAN Premium   100788224      USD   \n",
       "1                             Evernote - stay organized   158578688      USD   \n",
       "2       WeatherBug - Local Weather, Radar, Maps, Alerts   100524032      USD   \n",
       "3     eBay: Best App to Buy, Sell, Save! Online Shop...   128512000      USD   \n",
       "4                                                 Bible    92774400      USD   \n",
       "5                                      Shanghai Mahjong    10485713      USD   \n",
       "6                PayPal - Send and request money safely   227795968      USD   \n",
       "7                               Pandora - Music & Radio   130242560      USD   \n",
       "8                           PCalc - The Best Calculator    49250304      USD   \n",
       "9                                           Ms. PAC-MAN    70023168      USD   \n",
       "10                            Solitaire by MobilityWare    49618944      USD   \n",
       "11                                     SCRABBLE Premium   227547136      USD   \n",
       "12                 Google – Search made just for mobile   179979264      USD   \n",
       "13                     Bank of America - Mobile Banking   160925696      USD   \n",
       "14                                             FreeCell    55153664      USD   \n",
       "15               TripAdvisor Hotels Flights Restaurants   207907840      USD   \n",
       "16                                             Facebook   389879808      USD   \n",
       "17       Yelp - Nearby Restaurants, Shopping & Services   167407616      USD   \n",
       "18    Shazam - Discover music, artists, videos & lyrics   147093504      USD   \n",
       "19                        Crash Bandicoot Nitro Kart 3D    10735026      USD   \n",
       "20                                               iQuran    70707916      USD   \n",
       "21                                          :) Sudoku +     6169600      USD   \n",
       "22      Yahoo Sports - Teams, Scores, News & Highlights   130583552      USD   \n",
       "23                            Mileage Log | Fahrtenbuch    71203840      USD   \n",
       "24                          Cleartune - Chromatic Tuner    11423008      USD   \n",
       "25            Lifesum – Inspiring healthy lifestyle app   188017664      USD   \n",
       "26                                             Hangman.     4765696      USD   \n",
       "27        iTranslate - Language Translator & Dictionary   287933440      USD   \n",
       "28                                             TouchOSC     4263936      USD   \n",
       "29                                           RadarScope   172772352      USD   \n",
       "...                                                 ...         ...      ...   \n",
       "7167                      脱出ゲーム　わたしをみつけて　-おじいさんとわたしの物語-   177498112      USD   \n",
       "7168                      Escape from the frigid Igloo.    89188352      USD   \n",
       "7169        Talking Santa - Video santa claus calls you    32685056      USD   \n",
       "7170                                          CTFxCmoji    26077184      USD   \n",
       "7171                    Room Escape Game - Santa's Room   143346688      USD   \n",
       "7172                               Rescue the Enchanter   242505728      USD   \n",
       "7173                                 My Diary - 你的名字非官方    18164736      USD   \n",
       "7174  VR Thrills: Roller Coaster 360 (Google Cardboard)   169535488      USD   \n",
       "7175   Santa Kids Hair Salon - Christmas Makeover Games    64244736      USD   \n",
       "7176                                 Human Juggling Cup   184324096      USD   \n",
       "7177                           Again - room escape game    33946624      USD   \n",
       "7178                                  Saloons Unleashed   327731200      USD   \n",
       "7179             Fam — Group video calling for iMessage   113382400      USD   \n",
       "7180                   Laurie Hernandez the Human Emoji    94008320      USD   \n",
       "7181                                               剑倚手游   178160640      USD   \n",
       "7182                                  camera for filter     9362432      USD   \n",
       "7183                                    Survivalcraft 2    57349120      USD   \n",
       "7184                                    剑客情缘-高爆率高掉落天天疯玩   171944960      USD   \n",
       "7185                                     问仙奇遇-新玩法新套装嗨到爆   208026624      USD   \n",
       "7186                 脱出ゲーム - 書道教室 -  \"漢字\"の謎に満ちた部屋からの 脱出    85580800      USD   \n",
       "7187                          Escape Game: illumination    52342784      USD   \n",
       "7188       Demolition Derby Virtual Reality (VR) Racing   168774656      USD   \n",
       "7189                         飞刀传奇-动作武侠热血江湖即时PK传奇（登录爆金装）   537462784      USD   \n",
       "7190                       Add-Ons Studio for Minecraft    22999040      USD   \n",
       "7191                         Plead the Fifth - The Game    27853824      USD   \n",
       "7192                                              Kubik   126644224      USD   \n",
       "7193                                  VR Roller-Coaster   120760320      USD   \n",
       "7194              Bret Michaels Emojis + Lyric Keyboard   111322112      USD   \n",
       "7195          VR Roller Coaster World - Virtual Reality    97235968      USD   \n",
       "7196                       Escape the Sweet Shop Series    90898432      USD   \n",
       "\n",
       "      price  rating_count_tot  rating_count_ver  user_rating  user_rating_ver  \\\n",
       "0      3.99             21292                26          4.0              4.5   \n",
       "1      0.00            161065                26          4.0              3.5   \n",
       "2      0.00            188583              2822          3.5              4.5   \n",
       "3      0.00            262241               649          4.0              4.5   \n",
       "4      0.00            985920              5320          4.5              5.0   \n",
       "5      0.99              8253              5516          4.0              4.0   \n",
       "6      0.00            119487               879          4.0              4.5   \n",
       "7      0.00           1126879              3594          4.0              4.5   \n",
       "8      9.99              1117                 4          4.5              5.0   \n",
       "9      3.99              7885                40          4.0              4.0   \n",
       "10     4.99             76720              4017          4.5              4.5   \n",
       "11     7.99            105776               166          3.5              2.5   \n",
       "12     0.00            479440               203          3.5              4.0   \n",
       "13     0.00            119773              2336          3.5              4.5   \n",
       "14     4.99              6340               668          4.5              4.5   \n",
       "15     0.00             56194                87          4.0              3.5   \n",
       "16     0.00           2974676               212          3.5              3.5   \n",
       "17     0.00            223885              3726          4.0              4.5   \n",
       "18     0.00            402925               136          4.0              4.5   \n",
       "19     2.99             31456              4178          4.0              3.5   \n",
       "20     1.99              2929               966          4.5              4.5   \n",
       "21     2.99             11447               781          5.0              5.0   \n",
       "22     0.00            137951               131          4.0              4.5   \n",
       "23     5.99                 8                 0          4.5              0.0   \n",
       "24     3.99              3241               297          4.0              4.0   \n",
       "25     0.00              5795                12          3.5              4.0   \n",
       "26     0.00             42316               248          3.0              3.5   \n",
       "27     0.00            123215                25          3.5              5.0   \n",
       "28     4.99               782                 7          4.0              3.5   \n",
       "29     9.99              3449                23          4.0              4.5   \n",
       "...     ...               ...               ...          ...              ...   \n",
       "7167   0.00                 1                 1          1.0              1.0   \n",
       "7168   0.00                 3                 3          4.0              4.0   \n",
       "7169   2.99                 9                 3          3.0              3.5   \n",
       "7170   0.00                39                 4          5.0              5.0   \n",
       "7171   0.00                10                10          5.0              5.0   \n",
       "7172   3.99                55                29          4.5              4.5   \n",
       "7173   0.99                 0                 0          0.0              0.0   \n",
       "7174   0.00                14                 4          4.0              3.5   \n",
       "7175   0.00                41                19          4.5              4.5   \n",
       "7176   0.00                 0                 0          0.0              0.0   \n",
       "7177   0.00                11                 8          4.0              4.0   \n",
       "7178   0.99                 0                 0          0.0              0.0   \n",
       "7179   0.00               279                 5          3.5              3.0   \n",
       "7180   0.00                26                 3          5.0              5.0   \n",
       "7181   0.99                 0                 0          0.0              0.0   \n",
       "7182   0.00                 0                 0          0.0              0.0   \n",
       "7183   3.99               292               292          4.0              4.0   \n",
       "7184   0.00                 0                 0          0.0              0.0   \n",
       "7185   0.99                 0                 0          0.0              0.0   \n",
       "7186   0.00                 1                 1          2.0              2.0   \n",
       "7187   0.00                23                23          4.5              4.5   \n",
       "7188   0.00                18                18          4.0              4.0   \n",
       "7189   0.99                 0                 0          0.0              0.0   \n",
       "7190   2.99                97                97          3.0              3.0   \n",
       "7191   2.99                11                 0          4.0              0.0   \n",
       "7192   0.00               142                75          4.5              4.5   \n",
       "7193   0.00                30                30          4.5              4.5   \n",
       "7194   1.99                15                 0          4.5              0.0   \n",
       "7195   0.00                85                32          4.5              4.5   \n",
       "7196   0.00                 3                 3          5.0              5.0   \n",
       "\n",
       "           ver cont_rating        prime_genre  sup_devices.num  \\\n",
       "0        6.3.5          4+              Games               38   \n",
       "1        8.2.2          4+       Productivity               37   \n",
       "2        5.0.0          4+            Weather               37   \n",
       "3       5.10.0         12+           Shopping               37   \n",
       "4        7.5.1          4+          Reference               37   \n",
       "5          1.8          4+              Games               47   \n",
       "6       6.12.0          4+            Finance               37   \n",
       "7        8.4.1         12+              Music               37   \n",
       "8        3.6.6          4+          Utilities               37   \n",
       "9        4.0.4          4+              Games               38   \n",
       "10      4.10.1          4+              Games               38   \n",
       "11      5.19.0          4+              Games               37   \n",
       "12        27.0         17+          Utilities               37   \n",
       "13       7.3.8          4+            Finance               37   \n",
       "14       4.0.3          4+              Games               38   \n",
       "15        21.1          4+             Travel               37   \n",
       "16        95.0          4+  Social Networking               37   \n",
       "17     11.15.0         12+             Travel               37   \n",
       "18      11.0.3         12+              Music               37   \n",
       "19       1.0.0          4+              Games               47   \n",
       "20         3.3          4+          Reference               43   \n",
       "21       5.2.6          4+              Games               40   \n",
       "22         6.9          4+             Sports               37   \n",
       "23       9.0.5          4+           Business               37   \n",
       "24       2.1.3          4+              Music               43   \n",
       "25       8.4.1          4+   Health & Fitness               37   \n",
       "26       2.0.6          9+              Games               38   \n",
       "27      10.5.4          4+       Productivity               37   \n",
       "28       1.9.8          4+              Music               43   \n",
       "29       3.4.1          4+            Weather               37   \n",
       "...        ...         ...                ...              ...   \n",
       "7167     1.0.1          4+              Games               38   \n",
       "7168     1.0.1          4+              Games               38   \n",
       "7169     1.0.1          4+      Entertainment               37   \n",
       "7170       1.3          9+  Social Networking               37   \n",
       "7171       1.0          4+              Games               40   \n",
       "7172       1.4          4+              Games               40   \n",
       "7173       1.1          4+          Utilities               37   \n",
       "7174     1.3.0          4+              Games               37   \n",
       "7175       1.3          4+              Games               37   \n",
       "7176     1.0.1          4+              Games               40   \n",
       "7177     1.1.0          4+              Games               37   \n",
       "7178       1.1          4+              Games               37   \n",
       "7179    0.6.41          4+  Social Networking               37   \n",
       "7180     1.0.5          9+          Utilities               37   \n",
       "7181       1.0          9+              Games               40   \n",
       "7182     1.0.3          4+      Photo & Video               37   \n",
       "7183  2.0.20.1          9+              Games               40   \n",
       "7184       1.0          9+              Games               40   \n",
       "7185       1.0          9+              Games               38   \n",
       "7186     1.0.1          4+              Games               38   \n",
       "7187       1.0          4+              Games               37   \n",
       "7188     1.0.0         12+              Games               38   \n",
       "7189     2.1.0          9+              Games               38   \n",
       "7190       1.0          4+              Games               37   \n",
       "7191     1.1.1         17+              Games               37   \n",
       "7192       1.3          4+              Games               38   \n",
       "7193       0.9          4+              Games               38   \n",
       "7194     1.0.2          9+          Utilities               37   \n",
       "7195    1.0.15         12+              Games               38   \n",
       "7196       1.0          4+              Games               40   \n",
       "\n",
       "      ipadSc_urls.num  lang.num  vpp_lic  \n",
       "0                   5        10        1  \n",
       "1                   5        23        1  \n",
       "2                   5         3        1  \n",
       "3                   5         9        1  \n",
       "4                   5        45        1  \n",
       "5                   5         1        1  \n",
       "6                   0        19        1  \n",
       "7                   4         1        1  \n",
       "8                   5         1        1  \n",
       "9                   0        10        1  \n",
       "10                  4        11        1  \n",
       "11                  0         6        1  \n",
       "12                  4        33        1  \n",
       "13                  0         2        1  \n",
       "14                  5         2        1  \n",
       "15                  1        26        1  \n",
       "16                  1        29        1  \n",
       "17                  5        18        1  \n",
       "18                  3        16        1  \n",
       "19                  0         1        1  \n",
       "20                  0         2        1  \n",
       "21                  5         1        1  \n",
       "22                  2         6        1  \n",
       "23                  5         3        1  \n",
       "24                  2        10        1  \n",
       "25                  5        11        1  \n",
       "26                  0         1        1  \n",
       "27                  5        23        1  \n",
       "28                  1         1        1  \n",
       "29                  5         1        1  \n",
       "...               ...       ...      ...  \n",
       "7167                4         1        1  \n",
       "7168                5         1        1  \n",
       "7169                0        31        1  \n",
       "7170                1         1        1  \n",
       "7171                0         1        1  \n",
       "7172                5         1        1  \n",
       "7173                0         1        1  \n",
       "7174                5         1        1  \n",
       "7175                5        25        1  \n",
       "7176                4         1        1  \n",
       "7177                5         1        1  \n",
       "7178                5         1        1  \n",
       "7179                4         1        1  \n",
       "7180                4         1        1  \n",
       "7181                5         0        1  \n",
       "7182                0         1        1  \n",
       "7183                5         1        1  \n",
       "7184                5         0        1  \n",
       "7185                5         1        1  \n",
       "7186                5         1        1  \n",
       "7187                5         2        1  \n",
       "7188                4         1        1  \n",
       "7189                5         1        1  \n",
       "7190                5         3        1  \n",
       "7191                0         1        1  \n",
       "7192                5         1        1  \n",
       "7193                0         1        1  \n",
       "7194                1         1        1  \n",
       "7195                0         2        1  \n",
       "7196                0         2        1  \n",
       "\n",
       "[7197 rows x 17 columns]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "df=pd.read_csv(\"data files/AppleStore.csv\")\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2 Category with highest number of apps "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Games'"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "df.drop_duplicates() \n",
    "df = pd.read_csv(\"data files/AppleStore.csv\") \n",
    "df.groupby(\"prime_genre\").count().idxmax() \n",
    "df.drop_duplicates().prime_genre.value_counts().idxmax()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3 Category with lowest number of apps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Catalogs'"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "df.drop_duplicates().prime_genre.value_counts().idxmin()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4 Category with highest user rating"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Games', 'Business', 'Education', 'Photo & Video', 'Utilities',\n",
       "       'Shopping', 'News', 'Health & Fitness', 'Productivity', 'Food & Drink',\n",
       "       'Reference', 'Travel', 'Lifestyle', 'Weather', 'Music', 'Book',\n",
       "       'Finance', 'Sports', 'Entertainment', 'Social Networking', 'Catalogs',\n",
       "       'Medical', 'Navigation'],\n",
       "      dtype='object', name='prime_genre')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "df.index=df[\"prime_genre\"]\n",
    "df[df['user_rating'] == 5.0].index.unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Games', 'Entertainment', 'Photo & Video', 'Lifestyle', 'Education',\n",
       "       'Finance', 'Food & Drink', 'Travel', 'Sports', 'Utilities',\n",
       "       'Productivity', 'News', 'Social Networking', 'Music', 'Business',\n",
       "       'Health & Fitness'],\n",
       "      dtype='object', name='prime_genre')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.index\n",
    "df.index=df[\"prime_genre\"]\n",
    "df[df['user_rating'] ==2.0].index.unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "test2\n",
      "9 6\n",
      "10\n",
      "1 1\n",
      "1\n",
      "None\n",
      "1 0\n",
      "2\n",
      "None\n",
      "0 0\n",
      "2\n",
      "None\n",
      "1 1\n",
      "3\n",
      "None\n",
      "1 1\n",
      "4\n",
      "None\n",
      "1 0\n",
      "5\n",
      "None\n",
      "1 1\n",
      "6\n",
      "None\n",
      "1 3\n",
      "7\n",
      "None\n",
      "k\n"
     ]
    },
    {
     "ename": "ValueError",
     "evalue": "invalid literal for int() with base 10: 'k'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-22-b3dc42e3834e>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     12\u001b[0m     \u001b[0mprtcpn\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0minput\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     13\u001b[0m     \u001b[1;32mfor\u001b[0m \u001b[0mpart\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mprtcpn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 14\u001b[1;33m         \u001b[0mpart\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mlist\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmap\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0minput\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msplit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     15\u001b[0m         \u001b[0mpartg\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpart\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     16\u001b[0m         \u001b[0mpartp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpart\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mValueError\u001b[0m: invalid literal for int() with base 10: 'k'"
     ]
    }
   ],
   "source": [
    "def costOfBAloons(partg,partp,costbln):\n",
    "    costbln_outg=sum(partg)\n",
    "    print(costbln_outg)\n",
    "    costbln_outp=sum(partp)\n",
    "   \n",
    "   #return (max(costbln_outg,costbln_outp)*min(costbln))+(max(costbln)*min(costbln_outg,costbln_outp))\n",
    "test=int(input(\"test\",))\n",
    "for t in range(test):\n",
    "    partg=[] # list of \n",
    "    partp=[]\n",
    "    costbln=list(map(int,input().split()))\n",
    "    prtcpn=int(input())\n",
    "    for part in range(prtcpn):\n",
    "        part=list(map(int,input().split()))\n",
    "        partg.append(part[0])\n",
    "        partp.append(part[1])\n",
    "        print(costOfBAloons(partg,partp,costbln))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplot libreary:"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "    Data visuavalisation\n",
    "    Basic 2D Ploting\n",
    "    Ploting 2D graph by csv data\n",
    "    income data sheet\n",
    "    App-store data set\n",
    "    ## matplotlib.org offitial site"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as pl\n",
    "pl.plot([1,2,3],[1,2,3])\n",
    "pl.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from 'C:\\\\ProgramData\\\\Anaconda3\\\\lib\\\\site-packages\\\\matplotlib\\\\pyplot.py'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# title to a graph\n",
    "pl.title(\"basic\")\n",
    "pl.plot([2,4],[2,0])\n",
    "pl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Graph to plot distancance and time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 4, 5]\n",
      "[2, 4, 6, 8, 10]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "disc=list(range(2,11,2))\n",
    "time=list(range(1,6))\n",
    "print(time)\n",
    "print(disc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from 'C:\\\\ProgramData\\\\Anaconda3\\\\lib\\\\site-packages\\\\matplotlib\\\\pyplot.py'>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#distance=2*time \n",
    "pl.title(\"Distance vs Time\")\n",
    "pl.plot(time,disc) #on x-axis=time y-axis=distance\n",
    "pl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from 'C:\\\\ProgramData\\\\Anaconda3\\\\lib\\\\site-packages\\\\matplotlib\\\\pyplot.py'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.title(\"Distance vs Time\")\n",
    "pl.plot(time,disc,\"bx\") #on x-axis=time y-axis=distance x=shape,b=blue(color)\n",
    "pl.plot(time,disc,'gs')\n",
    "pl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "disc=list(range(2,11,2))\n",
    "time=list(range(1,6))\n",
    "pl.title(\"d vs t\")\n",
    "pl.xlabel(\"time\")\n",
    "pl.ylabel(\"distance\")\n",
    "pl.plot(time,disc,\"yo\")\n",
    "pl.grid()\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# v=at  #v=velocity a=axilaration ,t=time\n",
    "t=list(range(1,11))\n",
    "y=[2* i for i in t]\n",
    "pl.plot(t,y,\"gs\")\n",
    "pl.grid()\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# v=at (Velocity=axilaration * time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD8CAYAAABn919SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAEE9JREFUeJzt3V9sZGd5x/Hvs1kimFgoCQE3zcaeICL+iArRtaJAVGI7oPJPJBcgUU3RCqXyRWlIgQpC94IrSyBV/LmoKllJ6UodYWgaKRFQ/ii7TlWprJpNkCAsUaJgm5SlBDUpOFMJIp5ezKT2bDY7M+uZOePX349kzbyvj/c8fmT/fPadOedEZiJJ2vsOVF2AJGk4DHRJKoSBLkmFMNAlqRAGuiQVwkCXpEIY6JJUCANdkgphoEtSIQ6Oc2dXXHFF1uv1ce5y6J599lkuueSSqsuYCPaim/3oZj+27bYXp06d+mVmvrLXdmMN9Hq9zoMPPjjOXQ7d2toa8/PzVZcxEexFN/vRzX5s220vImKjn+1ccpGkQhjoklQIA12SCmGgS1IhDHRJKoSBLkmj0mxCvc6Ni4tQr7fHIzTWty1K0r7RbMLSErRaBMDGRnsM0GiMZJceoUvSKBw9Cq1W91yr1Z4fEQNdkkZhc3Ow+SEw0CVpFGZmBpsfAgNdkkZheRlqte65Wq09PyIGuiSNQqMBKyswO0tGwOxsezyiF0TBQJek0Wk0YH2dB44fh/X1kYY5GOiSVAwDXZIKYaBLUiEMdEkqhIEuSYUw0CWpEAa6JBXCQJekQhjoklQIA12SCmGgS1IhDHRJKoSBLkmFMNAlqRB9BXpEfCwiHomIH0bEVyLipRFxTUScjIjHIuKrEXHxqIuVJL24noEeEVcBHwXmMvONwEXAB4HPAV/IzGuBp4FbR1moJOn8+l1yOQi8LCIOAjXgDLAI3N35/DHgluGXJ0nqV2Rm740ibgeWgf8FvgPcDnwvM1/T+fzVwL90juDP/tolYAlgenr68Orq6vCqr8DW1hZTU1NVlzER7EU3+9HNfmzbbS8WFhZOZeZcr+0O9togIi4DbgauAZ4B/gl41zk2PedfhsxcAVYA5ubmcn5+vtcuJ9ra2hp7/XsYFnvRzX50sx/bxtWLfpZc3g78JDOfyszfAvcAbwUu7SzBABwCfjaiGiVJfegn0DeB6yOiFhEB3AT8CDgBvL+zzRHg3tGUKEnqR89Az8yTtF/8fAj4QedrVoBPAR+PiMeBVwB3jbBOSVIPPdfQATLzM8Bnzpp+Arhu6BVJki6IZ4pKUiEMdEkqhIEuSYUw0CWpEAa6JBXCQJekQhjoklQIA12SCmGgS1IhDHRJZWo2oV6HAwfaj81m1RWNXF+n/kvSntJswtIStFrt8cZGewzQaFRX14h5hC6pPEePbof581qt9nzBDHRJ5dncHGy+EAa6pPLMzAw2XwgDXVJ5lpehVuueq9Xa8wUz0CWVp9GAlRWYnYWI9uPKStEviILvcpFUqkaj+AA/m0foklQIA12SCmGgS1IhDHRJKoSBLkmFMNAlqRAGuiQVwkCXpEIY6JJUCANdkgphoEtSIQx0SSqEgS5JhTDQJakQBrokFcJAl6RCGOiSVIi+Aj0iLo2IuyPixxFxOiLeEhGXR8R3I+KxzuNloy5WkvTi+j1C/xLwrcx8HfAm4DRwB3B/Zl4L3N8ZS5Iq0jPQI+LlwNuAuwAy8zeZ+QxwM3Css9kx4JZRFSlJ6q2fI/RXA08BX46IhyPizoi4BJjOzDMAncdXjbBOSVIPkZnn3yBiDvgecENmnoyILwG/Am7LzEt3bPd0Zr5gHT0iloAlgOnp6cOrq6vDrH/stra2mJqaqrqMiWAvutmPbvZj2257sbCwcCoz53pumJnn/QB+D1jfMf4j4BvAo8CVnbkrgUd7/VuHDx/Ove7EiRNVlzAx7EU3+9HNfmzbbS+AB7NHvmZm7yWXzPw58NOIeG1n6ibgR8B9wJHO3BHg3v7/3kiShu1gn9vdBjQj4mLgCeDDtNffvxYRtwKbwAdGU6IkqR99BXpmfh841/rNTcMtR5J0oTxTVJIKYaBLGq5mE+p1blxchHq9PdZY9LuGLkm9NZuwtAStFgGwsdEeAzQaVVa2L3iELml4jh6FVqt7rtVqz2vkDHRJw7O5Odi8hspAlzQ8MzODzWuoDHRJw7O8DLVa91yt1p7XyBnokoan0YCVFZidJSNgdrY99gXRsTDQJQ1XowHr6zxw/DisrxvmY2SgS1IhDHRJKoSBLkmFMNAlqRAGuiQVwkCXpEIY6JJUCANdkgphoEtSIQx0SSqEgS5JhTDQJakQBrokFcJAl6RCGOiSVAgDXZIKYaBLUiEMdEkqhIEuSYUw0CWpEAa6JBXCQJekQhjoklQIA10qRbMJ9TocONB+bDarrkhjdrDqAiQNQbMJS0vQarXHGxvtMUCjUV1dGiuP0KUSHD26HebPa7Xa89o3+g70iLgoIh6OiK93xtdExMmIeCwivhoRF4+uTEnntbk52LyKNMgR+u3A6R3jzwFfyMxrgaeBW4dZmKQBzMwMNq8i9RXoEXEIeA9wZ2ccwCJwd2eTY8AtoyhQUh+Wl6FW656r1drz2jf6PUL/IvBJ4Hed8SuAZzLzuc74SeCqIdcmqV+NBqyswOwsRLQfV1Z8QXSficw8/wYR7wXenZl/HhHzwF8BHwb+PTNf09nmauCbmfkH5/j6JWAJYHp6+vDq6upwv4Mx29raYmpqquoyJoK96GY/utmPbbvtxcLCwqnMnOu1XT9vW7wBeF9EvBt4KfBy2kfsl0bEwc5R+iHgZ+f64sxcAVYA5ubmcn5+vr/vYEKtra2x17+HYbEX3exHN/uxbVy96LnkkpmfzsxDmVkHPggcz8wGcAJ4f2ezI8C9I6tSktTTbt6H/ing4xHxOO019buGU5Ik6UIMdKZoZq4Ba53nTwDXDb8kSdKF8ExRSSqEgS5JhTDQJakQBrokFcJAl6RCGOiSVAgDXZIKYaBLUiEMdEkqhIEuSYUw0CWpEAa6JBXCQJekQhjoklQIA13arWYT6nVuXFyEer09liow0PXQJZ2l2YSlJWi1CICNjfYYvEGzxs4jdGk3jh6FVqt7rtVqz0tjZqBLu7G5Odi8NEIGurQbMzODzUsjZKBLu7G8DLVa91yt1p6XxsxAl3aj0YCVFZidJSNgdrY99gVRVcBAl3ar0YD1dR44fhzW1w1zVcZAl6RCGOiSVAgDXZIKYaBLUiEMdEkqhIEuSYUw0CWpEAa6JBXCQJekQhjoklQIA12SCmGgS1IhDHRJKkTPQI+IqyPiREScjohHIuL2zvzlEfHdiHis83jZ6MuVJL2Yfo7QnwM+kZmvB64HPhIRbwDuAO7PzGuB+ztjaXyaTajX4cCB9mOzWXVFUqV6BnpmnsnMhzrPfw2cBq4CbgaOdTY7BtwyqiKlF2g2YWkJNjYgs/24tGSoa18baA09IurAm4GTwHRmnoF26AOvGnZx0os6ehRare65Vqs9L+1TkZn9bRgxBTwALGfmPRHxTGZeuuPzT2fmC9bRI2IJWAKYnp4+vLq6OpzKK7K1tcXU1FTVZUyEKntx4+IicY6f3Yxo3zmoAv5sdLMf23bbi4WFhVOZOddzw8zs+QG8BPg28PEdc48CV3aeXwk82uvfOXz4cO51J06cqLqEiVFpL2ZnM9uLLd0fs7OVleTPRjf7sW23vQAezD6yup93uQRwF3A6Mz+/41P3AUc6z48A9/b710bateVlqNW652q19ry0T/Wzhn4D8CFgMSK+3/l4N/BZ4B0R8Rjwjs5YGo9GA1ZWYHYWItqPKyveoFn72sFeG2TmvwHxIp++abjlSANoNAxwaQfPFJWkQhjoklQIA12SCmGgS1IhDHRJKoSBLkmFMNAlqRAGuiQVwkCXpEIY6JJUCANdg+vcKejGxUXvFCRNkJ7XcpG6PH+noFarfYGf5+8UBF5XRaqYR+gajHcKkiaWga7BbG4ONi9pbAx0DWZmZrB5SWNjoGsw3ilImlgGugaz405B6Z2CpIlioGtwjQasr/PA8eOwvm6YSxPCQJekQhjoklQIA12SCmGgS1IhDHRJKoSBvtd0LozFgQNeGEtSFy/OtZfsuDAW4IWxJHXxCH0v8cJYks7DQN9LvDCWpPMw0PcSL4wl6TwM9L3EC2NJOg8DfS/ZcWEsvDCWpLP4Lpe9ptEwwCWdk0foklQIA71f3ule0oRzyaUf3ule0h7gEXo/PKFH0h6wq0CPiHdGxKMR8XhE3DGsoiaOJ/RI2gMuONAj4iLgb4F3AW8A/iQi3jCswv7fJFyMyhN6JO0BuzlCvw54PDOfyMzfAKvAzcMpq+P5teuNDcjcXrsed6h7Qo+kPWA3gX4V8NMd4yc7c8MzKWvX3ule0h4QmXlhXxjxAeCPM/PPOuMPAddl5m1nbbcELAFMT08fXl1d7XsfNy4uEueoLyPad5yvwNbWFlNTU5Xse9LYi272o5v92LbbXiwsLJzKzLle2+3mbYtPAlfvGB8Cfnb2Rpm5AqwAzM3N5fz8fP97mJlpL7OcJWZmGOjfGaK1tbXK9j1p7EU3+9HNfmwbVy92s+TyH8C1EXFNRFwMfBC4bzhldbh2LUl9u+BAz8zngL8Avg2cBr6WmY8MqzDAi1FJ0gB2daZoZn4T+OaQajk3L0YlSX3xTFFJKoSBLkmFMNAlqRAGuiQVwkCXpEJc8JmiF7SziKeAF54ptLdcAfyy6iImhL3oZj+62Y9tu+3FbGa+stdGYw30EkTEg/2cgrsf2Itu9qOb/dg2rl645CJJhTDQJakQBvrgVqouYILYi272o5v92DaWXriGLkmF8AhdkgphoPchIq6OiBMRcToiHomI26uuaRJExEUR8XBEfL3qWqoWEZdGxN0R8ePOz8lbqq6pKhHxsc7vyQ8j4isR8dKqaxqniPj7iPhFRPxwx9zlEfHdiHis83jZKPZtoPfnOeATmfl64HrgIyO5IfbeczvtSycLvgR8KzNfB7yJfdqXiLgK+Cgwl5lvBC6ifa+E/eQfgHeeNXcHcH9mXgvc3xkPnYHeh8w8k5kPdZ7/mvYv63Dvn7rHRMQh4D3AnVXXUrWIeDnwNuAugMz8TWY+U21VlToIvCwiDgI1znEns5Jl5r8C/33W9M3Asc7zY8Ato9i3gT6giKgDbwZOVltJ5b4IfBL4XdWFTIBXA08BX+4sQd0ZEZdUXVQVMvM/gb8BNoEzwP9k5neqrWoiTGfmGWgfIAKvGsVODPQBRMQU8M/AX2bmr6qupyoR8V7gF5l5qupaJsRB4A+Bv8vMNwPPMqL/Uk+6ztrwzcA1wO8Dl0TEn1Zb1f5hoPcpIl5CO8ybmXlP1fVU7AbgfRGxDqwCixHxj9WWVKkngScz8/n/td1NO+D3o7cDP8nMpzLzt8A9wFsrrmkS/FdEXAnQefzFKHZioPchIoL2+ujpzPx81fVULTM/nZmHMrNO+wWv45m5b4/CMvPnwE8j4rWdqZuAH1VYUpU2gesjotb5vbmJffoC8VnuA450nh8B7h3FTnZ1T9F95AbgQ8APIuL7nbm/7txTVQK4DWhGxMXAE8CHK66nEpl5MiLuBh6i/e6wh9lnZ4xGxFeAeeCKiHgS+AzwWeBrEXEr7T96HxjJvj1TVJLK4JKLJBXCQJekQhjoklQIA12SCmGgS1IhDHRJKoSBLkmFMNAlqRD/B+lVWr/amg39AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "t=list(range(1,11))\n",
    "a=list(range(1,len(t)+1))\n",
    "\n",
    "v=[a[i]* i for i in range(len(t))]\n",
    "pl.plot(t,v,\"ro\")\n",
    "pl.grid()\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from 'C:\\\\ProgramData\\\\Anaconda3\\\\lib\\\\site-packages\\\\matplotlib\\\\pyplot.py'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot for numbers of a cubes in range of 10\n",
    "n=list(range(10))\n",
    "sqn=[i**3 for i in n]\n",
    "pl.plot(n,sqn,\"bs\")\n",
    "pl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# sinusoidal plot\n",
    "# voltage -Time    Save the graph in a specific field"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.0] "
     ]
    }
   ],
   "source": [
    "#sinusoidal plot\n",
    "# voltage -Time\n",
    "t=[i/10 for i in range(1,21)]\n",
    "print(t,end=\" \")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "#t=[i/10 for i in range(1,21)]\n",
    "t=np.arange(0.1,2.0,0.1)\n",
    "v=[1+np.sin(2*np.pi*i) for i in t]\n",
    "pl.title(\"voltage vs time\")\n",
    "pl.plot(t,v,\"g\")\n",
    "pl.grid()\n",
    "pl.xlabel(\"time\")\n",
    "pl.ylabel(\"voltage\")\n",
    "pl.savefig(\"images/voltage-Voltage.png\")\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot the income of arkansas from 2005 to 2013 from income.csv file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['2005', '2006', '2007', '2008', '2009', '2010', '2011', '2012', '2013'], dtype='object')\n",
      "[36658 37057 40795 39586 36538 38587 41302 39018 39919]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "import pandas as pd\n",
    "df=pd.read_csv(\"data files/income.csv\")\n",
    "years=df.columns[2:]\n",
    "incomeArkansas=df.values[3,2::] #arkanas index is 4 and we want only income that starts from 2 colums\n",
    "pl.title(\"Income of Arkansas 2005-2013\")\n",
    "pl.plot(years,incomeArkansas)\n",
    "pl.xlabel(\"years\")\n",
    "pl.ylabel(\"income\")\n",
    "pl.savefig(\"images/arkansasincome.png\")\n",
    "pl.show()\n",
    "print(years)\n",
    "print(incomeArkansas)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# plot the all states income from 2005 to 2013"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GEOID</th>\n",
       "      <th>State</th>\n",
       "      <th>2005</th>\n",
       "      <th>2006</th>\n",
       "      <th>2007</th>\n",
       "      <th>2008</th>\n",
       "      <th>2009</th>\n",
       "      <th>2010</th>\n",
       "      <th>2011</th>\n",
       "      <th>2012</th>\n",
       "      <th>2013</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>04000US01</td>\n",
       "      <td>Alabama</td>\n",
       "      <td>37150</td>\n",
       "      <td>37952</td>\n",
       "      <td>42212</td>\n",
       "      <td>44476</td>\n",
       "      <td>39980</td>\n",
       "      <td>40933</td>\n",
       "      <td>42590</td>\n",
       "      <td>43464</td>\n",
       "      <td>41381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>04000US02</td>\n",
       "      <td>Alaska</td>\n",
       "      <td>55891</td>\n",
       "      <td>56418</td>\n",
       "      <td>62993</td>\n",
       "      <td>63989</td>\n",
       "      <td>61604</td>\n",
       "      <td>57848</td>\n",
       "      <td>57431</td>\n",
       "      <td>63648</td>\n",
       "      <td>61137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>04000US04</td>\n",
       "      <td>Arizona</td>\n",
       "      <td>45245</td>\n",
       "      <td>46657</td>\n",
       "      <td>47215</td>\n",
       "      <td>46914</td>\n",
       "      <td>45739</td>\n",
       "      <td>46896</td>\n",
       "      <td>48621</td>\n",
       "      <td>47044</td>\n",
       "      <td>50602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>04000US05</td>\n",
       "      <td>Arkansas</td>\n",
       "      <td>36658</td>\n",
       "      <td>37057</td>\n",
       "      <td>40795</td>\n",
       "      <td>39586</td>\n",
       "      <td>36538</td>\n",
       "      <td>38587</td>\n",
       "      <td>41302</td>\n",
       "      <td>39018</td>\n",
       "      <td>39919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>04000US06</td>\n",
       "      <td>California</td>\n",
       "      <td>51755</td>\n",
       "      <td>55319</td>\n",
       "      <td>55734</td>\n",
       "      <td>57014</td>\n",
       "      <td>56134</td>\n",
       "      <td>54283</td>\n",
       "      <td>53367</td>\n",
       "      <td>57020</td>\n",
       "      <td>57528</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       GEOID       State   2005   2006   2007   2008   2009   2010   2011  \\\n",
       "0  04000US01     Alabama  37150  37952  42212  44476  39980  40933  42590   \n",
       "1  04000US02      Alaska  55891  56418  62993  63989  61604  57848  57431   \n",
       "2  04000US04     Arizona  45245  46657  47215  46914  45739  46896  48621   \n",
       "3  04000US05    Arkansas  36658  37057  40795  39586  36538  38587  41302   \n",
       "4  04000US06  California  51755  55319  55734  57014  56134  54283  53367   \n",
       "\n",
       "    2012   2013  \n",
       "0  43464  41381  \n",
       "1  63648  61137  \n",
       "2  47044  50602  \n",
       "3  39018  39919  \n",
       "4  57020  57528  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "years=df.columns[2:]\n",
    "avg=df.iloc[:,2:].mean()\n",
    "pl.title(\"All states income 2005-2013\")\n",
    "pl.xlabel(\"years\")\n",
    "pl.ylabel(\"income\")\n",
    "pl.plot(years,avg)\n",
    "pl.grid()\n",
    "pl.savefig(\"images/All states of income-png\")\n",
    "pl.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# while continue break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n",
      "3\n",
      "4\n",
      "4\n",
      "42\n"
     ]
    }
   ],
   "source": [
    "\n",
    "while 1:\n",
    "    num = int(input())\n",
    "    if num == 42:\n",
    "        break\n",
    "    print (num)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}