Antara000/Tugas SES 5.ipynb

## Tugas SES 5.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "cbea0ead",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "bc626038",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = {\n",
    "    \"month\" : [1,2,3,4,5],\n",
    "    \"weather\" : [\"rainy\", \"sunny\", \"cloudy\", \"windy\", \"cloudy\"]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0f232912",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'month': [1, 2, 3, 4, 5], 'weather': ['rainy', 'sunny', 'cloudy', 'windy', 'cloudy']}\n"
     ]
    }
   ],
   "source": [
    "print(data\n",
    "     )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9f6891fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "6bdda07c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month weather\n",
      "0      1   rainy\n",
      "1      2   sunny\n",
      "2      3  cloudy\n",
      "3      4   windy\n",
      "4      5  cloudy\n"
     ]
    }
   ],
   "source": [
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "025e8c9d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 4, 5]\n"
     ]
    }
   ],
   "source": [
    "m = list(df['month'])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e0e9cff6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['rainy', 'sunny', 'cloudy', 'windy', 'cloudy']\n"
     ]
    }
   ],
   "source": [
    "m = list(df['weather'])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2677b309",
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "'other'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
      "File \u001b[1;32m~\\anaconda3\\Lib\\site-packages\\pandas\\core\\indexes\\base.py:3653\u001b[0m, in \u001b[0;36mIndex.get_loc\u001b[1;34m(self, key)\u001b[0m\n\u001b[0;32m   3652\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m-> 3653\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_engine\u001b[38;5;241m.\u001b[39mget_loc(casted_key)\n\u001b[0;32m   3654\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n",
      "File \u001b[1;32m~\\anaconda3\\Lib\\site-packages\\pandas\\_libs\\index.pyx:147\u001b[0m, in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[1;34m()\u001b[0m\n",
      "File \u001b[1;32m~\\anaconda3\\Lib\\site-packages\\pandas\\_libs\\index.pyx:176\u001b[0m, in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[1;34m()\u001b[0m\n",
      "File \u001b[1;32mpandas\\_libs\\hashtable_class_helper.pxi:7080\u001b[0m, in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[1;34m()\u001b[0m\n",
      "File \u001b[1;32mpandas\\_libs\\hashtable_class_helper.pxi:7088\u001b[0m, in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[1;34m()\u001b[0m\n",
      "\u001b[1;31mKeyError\u001b[0m: 'other'",
      "\nThe above exception was the direct cause of the following exception:\n",
      "\u001b[1;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[17], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m m \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlist\u001b[39m(df[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mother\u001b[39m\u001b[38;5;124m'\u001b[39m])\n\u001b[0;32m      2\u001b[0m \u001b[38;5;28mprint\u001b[39m(m)\n",
      "File \u001b[1;32m~\\anaconda3\\Lib\\site-packages\\pandas\\core\\frame.py:3761\u001b[0m, in \u001b[0;36mDataFrame.__getitem__\u001b[1;34m(self, key)\u001b[0m\n\u001b[0;32m   3759\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcolumns\u001b[38;5;241m.\u001b[39mnlevels \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[0;32m   3760\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_getitem_multilevel(key)\n\u001b[1;32m-> 3761\u001b[0m indexer \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcolumns\u001b[38;5;241m.\u001b[39mget_loc(key)\n\u001b[0;32m   3762\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m is_integer(indexer):\n\u001b[0;32m   3763\u001b[0m     indexer \u001b[38;5;241m=\u001b[39m [indexer]\n",
      "File \u001b[1;32m~\\anaconda3\\Lib\\site-packages\\pandas\\core\\indexes\\base.py:3655\u001b[0m, in \u001b[0;36mIndex.get_loc\u001b[1;34m(self, key)\u001b[0m\n\u001b[0;32m   3653\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_engine\u001b[38;5;241m.\u001b[39mget_loc(casted_key)\n\u001b[0;32m   3654\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n\u001b[1;32m-> 3655\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m(key) \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01merr\u001b[39;00m\n\u001b[0;32m   3656\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m:\n\u001b[0;32m   3657\u001b[0m     \u001b[38;5;66;03m# If we have a listlike key, _check_indexing_error will raise\u001b[39;00m\n\u001b[0;32m   3658\u001b[0m     \u001b[38;5;66;03m#  InvalidIndexError. Otherwise we fall through and re-raise\u001b[39;00m\n\u001b[0;32m   3659\u001b[0m     \u001b[38;5;66;03m#  the TypeError.\u001b[39;00m\n\u001b[0;32m   3660\u001b[0m     \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_check_indexing_error(key)\n",
      "\u001b[1;31mKeyError\u001b[0m: 'other'"
     ]
    }
   ],
   "source": [
    "m = list(df['other'])\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "98053fec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month weather\n",
      "4      5  cloudy\n"
     ]
    }
   ],
   "source": [
    "m = df.loc[4:5]\n",
    "print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "db4f6b4d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month weather\n",
      "a      1   rainy\n",
      "b      2   sunny\n",
      "c      3  cloudy\n",
      "d      4   windy\n",
      "e      5  cloudy\n"
     ]
    }
   ],
   "source": [
    "idx = ['a','b','c','d','e']\n",
    "df = pd.DataFrame(data, index=idx)\n",
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "759f2140",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month weather\n",
      "c      3  cloudy\n",
      "d      4   windy\n",
      "e      5  cloudy\n"
     ]
    }
   ],
   "source": [
    "print(df.loc['c':'e'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ac9c8153",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.loc['a']['month']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b8c156dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'cloudy'"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.loc['e']['weather']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "67eafafa",
   "metadata": {},
   "outputs": [],
   "source": [
    "df.to_csv(\"data_no_idx_sep_comma.csv\", sep=\",\", index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "2d1ec678",
   "metadata": {},
   "outputs": [],
   "source": [
    "df3 = pd.read_csv(\"data_no_idx_sep_comma.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ae972aa2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   month weather\n",
      "0      1   rainy\n",
      "1      2   sunny\n",
      "2      3  cloudy\n",
      "3      4   windy\n",
      "4      5  cloudy\n"
     ]
    }
   ],
   "source": [
    "print(df3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "47c0b6af",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       t         x         y\n",
      "0    0.0  2.000000  0.000000\n",
      "1    0.2  1.984229  0.250666\n",
      "2    0.4  1.937166  0.497380\n",
      "3    0.6  1.859553  0.736249\n",
      "4    0.8  1.752613  0.963507\n",
      "..   ...       ...       ...\n",
      "95  19.0  1.618034 -1.175571\n",
      "96  19.2  1.752613 -0.963507\n",
      "97  19.4  1.859553 -0.736249\n",
      "98  19.6  1.937166 -0.497380\n",
      "99  19.8  1.984229 -0.250666\n",
      "\n",
      "[100 rows x 3 columns]\n"
     ]
    }
   ],
   "source": [
    "ls = pd.read_excel(\"D:/PYTHON AREA/DATA SCIENCE/Datafor001/lissajous_circle.xlsx\")\n",
    "print(ls)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "ff0de98e",
   "metadata": {},
   "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>t</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
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       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>2.000000</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.2</td>\n",
       "      <td>1.984229</td>\n",
       "      <td>0.250666</td>\n",
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       "      <th>2</th>\n",
       "      <td>0.4</td>\n",
       "      <td>1.937166</td>\n",
       "      <td>0.497380</td>\n",
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       "      <th>3</th>\n",
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       "      <td>0.8</td>\n",
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      ],
      "text/plain": [
       "     t         x         y\n",
       "0  0.0  2.000000  0.000000\n",
       "1  0.2  1.984229  0.250666\n",
       "2  0.4  1.937166  0.497380\n",
       "3  0.6  1.859553  0.736249\n",
       "4  0.8  1.752613  0.963507"
      ]
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     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ls.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "ac2861ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "5f0d8a20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ls['x'], ls['y'], label = 'x(y)', marker='o')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('x & y')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "a173776f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "plt.bar(ls['t'], ls['x'], label='x(t)')\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('x')\n",
    "plt.title('t & x')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "d66ec783",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(ls['x'], ls['y'], marker='o')\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('y')\n",
    "plt.title('Scatter Plot')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6ee6c59f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       t         x         y\n",
      "0    0.0  2.000000  0.000000\n",
      "1    0.2  1.996053  0.250666\n",
      "2    0.4  1.984229  0.497380\n",
      "3    0.6  1.964575  0.736249\n",
      "4    0.8  1.937166  0.963507\n",
      "..   ...       ...       ...\n",
      "95  19.0  1.902113 -1.175571\n",
      "96  19.2  1.937166 -0.963507\n",
      "97  19.4  1.964575 -0.736249\n",
      "98  19.6  1.984229 -0.497380\n",
      "99  19.8  1.996053 -0.250666\n",
      "\n",
      "[100 rows x 3 columns]\n"
     ]
    }
   ],
   "source": [
    "lb = pd.read_excel(\"D:\\PYTHON AREA\\DATA SCIENCE\\Datafor001\\lissajous_butterfly.xlsx\")\n",
    "print(lb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "624f31a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lb.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "1af935c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(lb['x'], lb['y'], marker='o')\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('y')\n",
    "plt.title('Scatter Plot')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "590ea7c6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          x\n",
      "0        36\n",
      "1        31\n",
      "2        34\n",
      "3        29\n",
      "4         5\n",
      "...     ...\n",
      "249995  997\n",
      "249996  997\n",
      "249997  998\n",
      "249998  998\n",
      "249999  999\n",
      "\n",
      "[250000 rows x 1 columns]\n"
     ]
    }
   ],
   "source": [
    "dis = pd.read_excel(\"D:\\PYTHON AREA\\DATA SCIENCE\\Datafor001\\distribution.xlsx\")\n",
    "print(dis)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "6226a70b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(dis.index, dis['x'], marker='o', color='red')\n",
    "plt.xlabel('Index')\n",
    "plt.ylabel('x')\n",
    "plt.title('Scatter Plot of Distribution')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "926f3834",
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "28372d92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.countplot(x='x', data=dis, color='red')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('Frekuensi')\n",
    "plt.title('Perhitungan Nilai Plot X')\n",
    "plt.grid(axis='y', linestyle='-', alpha=0.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "7fc17099",
   "metadata": {},
   "outputs": [],
   "source": [
    "fat = pd.read_excel(r\"D:\\PYTHON AREA\\DATA SCIENCE\\Datafor001\\fruit_pie_chart.xlsx\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "1fec78ab",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        fruit  amount\n",
      "0      tomato      18\n",
      "1      orange      12\n",
      "2       apple      13\n",
      "3      banana      20\n",
      "4        kiwi      14\n",
      "5      durian      15\n",
      "6      manggo       5\n",
      "7  strawberry      15\n"
     ]
    }
   ],
   "source": [
    "print(fat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "0a1388a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "plt.pie(fat['amount'], labels=fat['fruit'], autopct='%1.1f%%', startangle=140)\n",
    "plt.title('Pie Chart of Fruit')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "266ad59a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       x    y          z\n",
      "0      0    0  82.462113\n",
      "1      5    0  77.620873\n",
      "2     10    0  72.801099\n",
      "3     15    0  68.007353\n",
      "4     20    0  63.245553\n",
      "..   ...  ...        ...\n",
      "436   80  100  80.000000\n",
      "437   85  100  80.156098\n",
      "438   90  100  80.622577\n",
      "439   95  100  81.394103\n",
      "440  100  100  82.462113\n",
      "\n",
      "[441 rows x 3 columns]\n"
     ]
    }
   ],
   "source": [
    "ct = pd.read_excel(\"D:\\PYTHON AREA\\DATA SCIENCE\\Datafor001\\contour.xlsx\")\n",
    "print(ct)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "990e4c5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.tricontourf(ct['x'], ct['y'], ct['z'], cmap='viridis')\n",
    "plt.colorbar(label='z')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Contour Plot')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c46445c1",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2c5df208",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}