{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "**Skewness**"
      ],
      "metadata": {
        "id": "alG-wHUFQDHE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import seaborn as sns\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import skew\n"
      ],
      "metadata": {
        "id": "UXEfnSNuQBfD"
      },
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "diamonds = sns.load_dataset(\"diamonds\")\n",
        "diamond_prices = diamonds[\"price\"]\n"
      ],
      "metadata": {
        "id": "WApSuug9QBh5"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "skewness_scipy = skew(diamond_prices)\n",
        "print(\"Skewness using SciPy:\", skewness_scipy)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "e0eIXP5iQBk0",
        "outputId": "1bbfd20b-a077-4161-9b57-73750cbb5da7"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Skewness using SciPy: 1.6183502776053016\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "skewness_pandas = diamond_prices.skew()\n",
        "print(\"Skewness using Pandas:\", skewness_pandas)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "y9A7dGTjQBny",
        "outputId": "b4d231ea-6b6a-494b-84b0-0abbaa29aeee"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Skewness using Pandas: 1.618395283383529\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "mean_price = diamond_prices.mean()\n",
        "median_price = diamond_prices.median()\n",
        "std_price = diamond_prices.std()\n",
        "\n",
        "pearson_skewness = (3 * (mean_price - median_price)) / std_price\n",
        "print(\"Pearson's Second Skewness:\", pearson_skewness)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "n2gbTt-aQBqm",
        "outputId": "0011c14c-b3a5-42b8-dc70-0045fe64f831"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Pearson's Second Skewness: 1.1518908587086387\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(8, 5))\n",
        "sns.kdeplot(diamond_prices)\n",
        "plt.axvline(mean_price, label=\"Mean\")\n",
        "plt.axvline(median_price, color=\"black\", label=\"Median\")\n",
        "plt.axvline(diamond_prices.mode().squeeze(), color=\"green\", label=\"Mode\")\n",
        "plt.title(\"Distribution of Diamond Prices (Skewness)\")\n",
        "plt.xlabel(\"Price\")\n",
        "plt.legend()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 487
        },
        "id": "TKd7G7_jQBuA",
        "outputId": "457348a9-f71a-433c-dc31-6d55e4e95812"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Kurtosis**"
      ],
      "metadata": {
        "id": "4W3LTwr_S83J"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import kurtosis\n"
      ],
      "metadata": {
        "id": "FbXcWPJXS9LN"
      },
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "kurtosis_value = kurtosis(diamond_prices)\n",
        "print(\"Kurtosis using SciPy:\", kurtosis_value)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OQZl30YXTFOJ",
        "outputId": "b81a9c63-41fd-447d-8a4d-1f63c9a9f618"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Kurtosis using SciPy: 2.177382669056634\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "diamonds.select_dtypes(include=\"number\").kurtosis()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 303
        },
        "id": "9HzZFCtJTFRg",
        "outputId": "cd3fa2f8-74b2-489a-a976-2c5ea9c9ddb9"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "carat     1.256635\n",
              "depth     5.739415\n",
              "table     2.801857\n",
              "price     2.177696\n",
              "x        -0.618161\n",
              "y        91.214557\n",
              "z        47.086619\n",
              "dtype: float64"
            ],
            "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>0</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>carat</th>\n",
              "      <td>1.256635</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>depth</th>\n",
              "      <td>5.739415</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>table</th>\n",
              "      <td>2.801857</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>price</th>\n",
              "      <td>2.177696</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>x</th>\n",
              "      <td>-0.618161</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>y</th>\n",
              "      <td>91.214557</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>z</th>\n",
              "      <td>47.086619</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div><br><label><b>dtype:</b> float64</label>"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sns\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "plt.figure(figsize=(8, 5))\n",
        "sns.kdeplot(diamond_prices, color=\"red\")\n",
        "plt.title(\"KDE Plot Showing Kurtosis of Diamond Prices\")\n",
        "plt.xlabel(\"Price\")\n",
        "plt.ylabel(\"Density\")\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 487
        },
        "id": "wvg0hJi_S9Ny",
        "outputId": "797f5b00-0042-46eb-d3e8-149fdf1fbc79"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "eYspRSy5S9Qp"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "3fnlCXnUS9UC"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}