Data_Visualize.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5be59fa1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5c3c6892",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>title</th>\n",
       "      <th>brand</th>\n",
       "      <th>rating</th>\n",
       "      <th>n_rating</th>\n",
       "      <th>price</th>\n",
       "      <th>shipping</th>\n",
       "      <th>img_url</th>\n",
       "      <th>max_rslt</th>\n",
       "      <th>dp</th>\n",
       "      <th>hdmi</th>\n",
       "      <th>dirx</th>\n",
       "      <th>model</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>14-932-561</td>\n",
       "      <td>GIGABYTE GAMING OC GeForce RTX 4080 16GB GDDR6...</td>\n",
       "      <td>GIGABYTE</td>\n",
       "      <td>4.3</td>\n",
       "      <td>56.0</td>\n",
       "      <td>1269.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>3 x DisplayPort 1.4a</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>DirectX 12</td>\n",
       "      <td>GV-N4080GAMING</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>14-137-709</td>\n",
       "      <td>MSI Mech Radeon RX 6500 XT 4GB GDDR6 PCI Expre...</td>\n",
       "      <td>MSI</td>\n",
       "      <td>4.2</td>\n",
       "      <td>12.0</td>\n",
       "      <td>183.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>1 x DisplayPort 1.4a</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>RX</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>14-930-066</td>\n",
       "      <td>ASRock Radeon RX 6600 8GB GDDR6 PCI Express 4....</td>\n",
       "      <td>ASRock</td>\n",
       "      <td>4.8</td>\n",
       "      <td>100.0</td>\n",
       "      <td>429.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>3 x DisplayPort 1.4H</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>RX6600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>14-930-056</td>\n",
       "      <td>ASRock Radeon RX 6700 XT Challenger D Gaming G...</td>\n",
       "      <td>ASRock</td>\n",
       "      <td>4.6</td>\n",
       "      <td>145.0</td>\n",
       "      <td>419.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>3 x DisplayPort 1.4H</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>RX6700XT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>14-500-518</td>\n",
       "      <td>ZOTAC GAMING GeForce RTX 3060 Ti Twin Edge OC ...</td>\n",
       "      <td>ZOTAC</td>\n",
       "      <td>4.6</td>\n",
       "      <td>51.0</td>\n",
       "      <td>409.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>3 x DisplayPort 1.4a</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>ZT-A30610H-10MLHRItem</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>14-930-078</td>\n",
       "      <td>ASRock Challenger Arc A750 8GB GDDR6 PCI Expre...</td>\n",
       "      <td>GIGABYTE</td>\n",
       "      <td>4.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>289.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>A750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>14-932-455</td>\n",
       "      <td>GIGABYTE Eagle OC GeForce RTX 3060 Ti 8GB GDDR...</td>\n",
       "      <td>XFX</td>\n",
       "      <td>4.8</td>\n",
       "      <td>27.0</td>\n",
       "      <td>449.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>2 x DisplayPort 1.4a</td>\n",
       "      <td>2 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>GV-N306TEAGLE</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>9SIAD2CHH37623</td>\n",
       "      <td>XFX SPEEDSTER SWFT 210 Radeon RX 6600 8GB GDDR...</td>\n",
       "      <td>GIGABYTE</td>\n",
       "      <td>4.5</td>\n",
       "      <td>77.0</td>\n",
       "      <td>249.99</td>\n",
       "      <td>$4.49 Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>3 x DisplayPort 1.4H</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>RX-66XL8LFDQReturn</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>9SIB1PGJPG9906</td>\n",
       "      <td>GIGABYTE Gaming GeForce RTX 3080 Ti 12GB GDDR6...</td>\n",
       "      <td>ASUS</td>\n",
       "      <td>4.1</td>\n",
       "      <td>183.0</td>\n",
       "      <td>1530.00</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>3 x DisplayPort 1.4a</td>\n",
       "      <td>2 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>GV-N308TGAMING</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>14-126-602</td>\n",
       "      <td>ASUS Dual OC GeForce RTX 3060 8GB GDDR6 PCI Ex...</td>\n",
       "      <td>XFX</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>359.99</td>\n",
       "      <td>Free Shipping</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "      <td>7680 x 4320</td>\n",
       "      <td>3 x DisplayPort 1.4a</td>\n",
       "      <td>1 x HDMI 2.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DUAL-RTX3060-O8GItem</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>100 rows × 13 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           item_id                                              title  \\\n",
       "0       14-932-561  GIGABYTE GAMING OC GeForce RTX 4080 16GB GDDR6...   \n",
       "1       14-137-709  MSI Mech Radeon RX 6500 XT 4GB GDDR6 PCI Expre...   \n",
       "2       14-930-066  ASRock Radeon RX 6600 8GB GDDR6 PCI Express 4....   \n",
       "3       14-930-056  ASRock Radeon RX 6700 XT Challenger D Gaming G...   \n",
       "4       14-500-518  ZOTAC GAMING GeForce RTX 3060 Ti Twin Edge OC ...   \n",
       "..             ...                                                ...   \n",
       "95      14-930-078  ASRock Challenger Arc A750 8GB GDDR6 PCI Expre...   \n",
       "96      14-932-455  GIGABYTE Eagle OC GeForce RTX 3060 Ti 8GB GDDR...   \n",
       "97  9SIAD2CHH37623  XFX SPEEDSTER SWFT 210 Radeon RX 6600 8GB GDDR...   \n",
       "98  9SIB1PGJPG9906  GIGABYTE Gaming GeForce RTX 3080 Ti 12GB GDDR6...   \n",
       "99      14-126-602  ASUS Dual OC GeForce RTX 3060 8GB GDDR6 PCI Ex...   \n",
       "\n",
       "       brand  rating  n_rating    price        shipping  \\\n",
       "0   GIGABYTE     4.3      56.0  1269.99   Free Shipping   \n",
       "1        MSI     4.2      12.0   183.99   Free Shipping   \n",
       "2     ASRock     4.8     100.0   429.99   Free Shipping   \n",
       "3     ASRock     4.6     145.0   419.99   Free Shipping   \n",
       "4      ZOTAC     4.6      51.0   409.99   Free Shipping   \n",
       "..       ...     ...       ...      ...             ...   \n",
       "95  GIGABYTE     4.7       3.0   289.99   Free Shipping   \n",
       "96       XFX     4.8      27.0   449.99   Free Shipping   \n",
       "97  GIGABYTE     4.5      77.0   249.99  $4.49 Shipping   \n",
       "98      ASUS     4.1     183.0  1530.00   Free Shipping   \n",
       "99       XFX     NaN       NaN   359.99   Free Shipping   \n",
       "\n",
       "                                              img_url     max_rslt  \\\n",
       "0   https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "1   https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "2   https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "3   https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "4   https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "..                                                ...          ...   \n",
       "95  https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "96  https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "97  https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "98  https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "99  https://c1.neweggimages.com/ProductImageCompre...  7680 x 4320   \n",
       "\n",
       "                      dp          hdmi        dirx                  model  \n",
       "0   3 x DisplayPort 1.4a  1 x HDMI 2.1  DirectX 12         GV-N4080GAMING  \n",
       "1   1 x DisplayPort 1.4a  1 x HDMI 2.1         NaN                     RX  \n",
       "2   3 x DisplayPort 1.4H  1 x HDMI 2.1         NaN                 RX6600  \n",
       "3   3 x DisplayPort 1.4H  1 x HDMI 2.1         NaN               RX6700XT  \n",
       "4   3 x DisplayPort 1.4a  1 x HDMI 2.1         NaN  ZT-A30610H-10MLHRItem  \n",
       "..                   ...           ...         ...                    ...  \n",
       "95                   NaN  1 x HDMI 2.1         NaN                   A750  \n",
       "96  2 x DisplayPort 1.4a  2 x HDMI 2.1         NaN          GV-N306TEAGLE  \n",
       "97  3 x DisplayPort 1.4H  1 x HDMI 2.1         NaN     RX-66XL8LFDQReturn  \n",
       "98  3 x DisplayPort 1.4a  2 x HDMI 2.1         NaN         GV-N308TGAMING  \n",
       "99  3 x DisplayPort 1.4a  1 x HDMI 2.1         NaN   DUAL-RTX3060-O8GItem  \n",
       "\n",
       "[100 rows x 13 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('info.csv')\n",
    "df.head(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "43797931",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>rating</th>\n",
       "      <th>n_rating</th>\n",
       "      <th>price</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>1598.000000</td>\n",
       "      <td>1598.000000</td>\n",
       "      <td>3590.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>4.315269</td>\n",
       "      <td>48.246558</td>\n",
       "      <td>661.471170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.645493</td>\n",
       "      <td>82.798912</td>\n",
       "      <td>577.557847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>15.460000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>4.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>269.085000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>4.500000</td>\n",
       "      <td>18.000000</td>\n",
       "      <td>495.990000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>4.700000</td>\n",
       "      <td>57.000000</td>\n",
       "      <td>860.735000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>5.000000</td>\n",
       "      <td>985.000000</td>\n",
       "      <td>5290.000000</td>\n",
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      "text/plain": [
       "            rating     n_rating        price\n",
       "count  1598.000000  1598.000000  3590.000000\n",
       "mean      4.315269    48.246558   661.471170\n",
       "std       0.645493    82.798912   577.557847\n",
       "min       1.000000     1.000000    15.460000\n",
       "25%       4.000000     5.000000   269.085000\n",
       "50%       4.500000    18.000000   495.990000\n",
       "75%       4.700000    57.000000   860.735000\n",
       "max       5.000000   985.000000  5290.000000"
      ]
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     "execution_count": 3,
     "metadata": {},
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   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c50dff91",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 3600 entries, 0 to 3599\n",
      "Data columns (total 13 columns):\n",
      " #   Column    Non-Null Count  Dtype  \n",
      "---  ------    --------------  -----  \n",
      " 0   item_id   3600 non-null   object \n",
      " 1   title     3600 non-null   object \n",
      " 2   brand     3432 non-null   object \n",
      " 3   rating    1598 non-null   float64\n",
      " 4   n_rating  1598 non-null   float64\n",
      " 5   price     3590 non-null   float64\n",
      " 6   shipping  3600 non-null   object \n",
      " 7   img_url   3600 non-null   object \n",
      " 8   max_rslt  1671 non-null   object \n",
      " 9   dp        1334 non-null   object \n",
      " 10  hdmi      1064 non-null   object \n",
      " 11  dirx      183 non-null    object \n",
      " 12  model     3600 non-null   object \n",
      "dtypes: float64(3), object(10)\n",
      "memory usage: 365.8+ KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6100bd28",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7df2cee5",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
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       "      <th>brand</th>\n",
       "      <th>rating</th>\n",
       "      <th>price</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>320</th>\n",
       "      <td>MSI Ventus GeForce RTX 3070 8GB GDDR6 PCI Expr...</td>\n",
       "      <td>MSI</td>\n",
       "      <td>4.7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1259</th>\n",
       "      <td>AX Gaming New GeForce RTX 4090 X3W 24G Video C...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>https://c1.neweggimages.com/ProductImageCompre...</td>\n",
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      "text/plain": [
       "                                                  title brand  rating  price  \\\n",
       "320   MSI Ventus GeForce RTX 3070 8GB GDDR6 PCI Expr...   MSI     4.7    NaN   \n",
       "1259  AX Gaming New GeForce RTX 4090 X3W 24G Video C...   NaN     4.5    NaN   \n",
       "\n",
       "     shipping                                            img_url  \n",
       "320       NaN  https://c1.neweggimages.com/ProductImageCompre...  \n",
       "1259      NaN  https://c1.neweggimages.com/ProductImageCompre...  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[df['shipping'].isnull()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "eb185096",
   "metadata": {},
   "outputs": [],
   "source": [
    "df['rating'].fillna(0, inplace=True)\n",
    "df['price'].fillna(df['price'].mean(), inplace=True)\n",
    "df['brand'].fillna('unknow', inplace=True)\n",
    "df['shipping'].fillna('unknow', inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "050578b0",
   "metadata": {},
   "source": [
    "## 1. The companies are providing graphics cards, the number of products of each company."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "fb74d255",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
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       "\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>brand</th>\n",
       "      <th>size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>51Risc</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>AMD</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>AMD Radeon Memory</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>AORUS</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ASPIRING</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>ASRock</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>ASRock Rack</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>ASUS</td>\n",
       "      <td>523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>AX Gaming</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Acer America</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>BFG Technologies</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Barco</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Biostar</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>CFer</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Coolfans</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Corn Electronics</td>\n",
       "      <td>76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>DELL</td>\n",
       "      <td>37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Diamond Multimedia</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>EVGA</td>\n",
       "      <td>395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>GIGABYTE</td>\n",
       "      <td>552</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>HP</td>\n",
       "      <td>56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>HPE</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>ID TECH</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>Inno3D</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Intel</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>LISM</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Lenovo</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>MAXSUN</td>\n",
       "      <td>42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>MSI</td>\n",
       "      <td>586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>MSI Certified</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Mannajue</td>\n",
       "      <td>49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>NVIDIA</td>\n",
       "      <td>138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>Ninja</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>ONDA</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>PALIT</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>PNY Technologies, Inc.</td>\n",
       "      <td>148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Peladn</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>PowerColor</td>\n",
       "      <td>55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>SAPLOS</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>SOYO</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>SXDOOL</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>Sapphire Tech</td>\n",
       "      <td>140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>Shenzhen NEO Electronics Co.,Ltd.</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>Supermicro</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>V7</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>VisionTek</td>\n",
       "      <td>43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>WEIMISEN</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>XFX</td>\n",
       "      <td>125</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>ZOTAC</td>\n",
       "      <td>168</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>matrox</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>unknow</td>\n",
       "      <td>181</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>yeston</td>\n",
       "      <td>60</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                brand  size\n",
       "0                              51Risc    11\n",
       "1                                 AMD    36\n",
       "2                   AMD Radeon Memory     1\n",
       "3                               AORUS     2\n",
       "4                            ASPIRING     2\n",
       "5                              ASRock    30\n",
       "6                         ASRock Rack     1\n",
       "7                                ASUS   523\n",
       "8                           AX Gaming     8\n",
       "9                        Acer America     1\n",
       "10                   BFG Technologies     6\n",
       "11                              Barco     3\n",
       "12                            Biostar    16\n",
       "13                               CFer     1\n",
       "14                           Coolfans     1\n",
       "15                   Corn Electronics    76\n",
       "16                               DELL    37\n",
       "17                 Diamond Multimedia     4\n",
       "18                               EVGA   395\n",
       "19                           GIGABYTE   552\n",
       "20                                 HP    56\n",
       "21                                HPE     2\n",
       "22                            ID TECH     1\n",
       "23                             Inno3D    11\n",
       "24                              Intel     2\n",
       "25                               LISM     5\n",
       "26                             Lenovo    13\n",
       "27                             MAXSUN    42\n",
       "28                                MSI   586\n",
       "29                      MSI Certified     1\n",
       "30                           Mannajue    49\n",
       "31                             NVIDIA   138\n",
       "32                              Ninja     2\n",
       "33                               ONDA     2\n",
       "34                              PALIT     1\n",
       "35             PNY Technologies, Inc.   148\n",
       "36                             Peladn    18\n",
       "37                         PowerColor    55\n",
       "38                             SAPLOS    13\n",
       "39                               SOYO    11\n",
       "40                             SXDOOL     2\n",
       "41                      Sapphire Tech   140\n",
       "42  Shenzhen NEO Electronics Co.,Ltd.     7\n",
       "43                         Supermicro     1\n",
       "44                                 V7     4\n",
       "45                          VisionTek    43\n",
       "46                           WEIMISEN     4\n",
       "47                                XFX   125\n",
       "48                              ZOTAC   168\n",
       "49                             matrox     3\n",
       "50                             unknow   181\n",
       "51                             yeston    60"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.groupby('brand', as_index=False).size()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "623f8e39",
   "metadata": {},
   "source": [
    "## 2. Price distribution of products"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a3c78a45",
   "metadata": {
    "scrolled": false
   },
   "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",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>price</th>\n",
       "      <th>size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>15.99</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>18.70</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>19.38</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>24.99</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>28.13</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1517</th>\n",
       "      <td>4199.97</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1518</th>\n",
       "      <td>4894.00</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1519</th>\n",
       "      <td>4950.00</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1520</th>\n",
       "      <td>5290.00</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1521</th>\n",
       "      <td>8648.94</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1522 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        price  size\n",
       "0       15.99     2\n",
       "1       18.70     1\n",
       "2       19.38     1\n",
       "3       24.99     1\n",
       "4       28.13     2\n",
       "...       ...   ...\n",
       "1517  4199.97     1\n",
       "1518  4894.00     1\n",
       "1519  4950.00     1\n",
       "1520  5290.00     1\n",
       "1521  8648.94     2\n",
       "\n",
       "[1522 rows x 2 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "price = df.groupby('price', as_index=False).size()\n",
    "price"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "361fda47",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "price    8648.94\n",
       "size      133.00\n",
       "dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "price.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "945a0722",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7f2bb17e37c0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576.625x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.relplot(\n",
    "    data=price, x=\"price\", y=\"size\",\n",
    "    size=\"size\", sizes=(1, 133), alpha=0.5\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c29aa1fa",
   "metadata": {},
   "source": [
    "## 3. Product price distribution by brand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2e761867",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='brand', ylabel='price'>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(data=df, x=\"brand\", y=\"price\", alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5fc9a067",
   "metadata": {},
   "source": [
    "## 4. The relationship between product price and user rating"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "cade887f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='rating', ylabel='price'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(data=df, x=\"rating\", y=\"price\", alpha=0.5)"
   ]
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   "execution_count": null,
   "id": "613b5390",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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