Customer_Segmentation_using_K_Means_Algorithm.ipynb

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      "source": [
        "**Customer Segmentation** is the practice of dividing company's customers into groups that reflects similarities among customers in each group. The goal of customers segmentation is to know how to relate to customers in each segment to better maximize value to the business.\n",
        "\n",
        "\n",
        "***Advantages of Customer Segmentation***\n",
        "\n",
        "1.   Price Optimization\n",
        "\n",
        "2.   Enhances Competitiveness\n",
        "\n",
        "3.   Brand Awareness\n",
        "\n",
        "4.   Acquisitionand Retention\n",
        "\n",
        "5.   Increases Revenue and ROI\n",
        "\n",
        "***Why Machine Learning for this?***\n",
        "\n",
        "Machine learning models can process customer data and discover patterns difficult to spot through intuition and manual examination of data.\n",
        "\n",
        "Why K-Means Algorithm\n",
        "\n",
        "It is a a type of Unsupervised learning. It is an iterative algorithm that divides the unlabelled dataset into k different clusters in such a way that each dataset belongs only to one group that has similar properties."
      ],
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          "height": 73
        },
        "outputId": "3ba49393-98b7-404a-e338-67f95321b40c"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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              "\n",
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          "text": [
            "Saving Mall_Customers.csv to Mall_Customers.csv\n"
          ]
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      ],
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "\n",
        "from google.colab import files\n",
        "uploaded= files.upload()\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import io\n",
        "df = pd.read_csv(io.BytesIO(uploaded['Mall_Customers.csv']))\n",
        "df.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        },
        "id": "J1Z6IzRizFPU",
        "outputId": "abc6b0a6-3985-41bb-a28f-19bdd291c150"
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      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
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              "      <th>CustomerID</th>\n",
              "      <th>Gender</th>\n",
              "      <th>Age</th>\n",
              "      <th>Annual Income (k$)</th>\n",
              "      <th>Spending Score (1-100)</th>\n",
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              "\n",
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              "      background-color: #3B4455;\n",
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              "\n",
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              "      background-color: #434B5C;\n",
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              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-fa2702c9-cd92-4b47-8d66-2963c58c21ec button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-fa2702c9-cd92-4b47-8d66-2963c58c21ec');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "   CustomerID  Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
              "0           1    Male   19                  15                      39\n",
              "1           2    Male   21                  15                      81\n",
              "2           3  Female   20                  16                       6\n",
              "3           4  Female   23                  16                      77\n",
              "4           5  Female   31                  17                      40"
            ]
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "pQAvyba6z1jP",
        "outputId": "c4e43276-f373-49f3-9b94-f428f7fc99b4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(200, 5)"
            ]
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.describe()"
      ],
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        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 300
        },
        "id": "sT7qQ9kNz7qq",
        "outputId": "5f544d6d-fdba-4321-e212-61d430ab743c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "\n",
              "  <div id=\"df-31c57889-432d-49a7-81ac-652cae9ee7b2\">\n",
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              "\n",
              "    .dataframe thead th {\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>CustomerID</th>\n",
              "      <th>Age</th>\n",
              "      <th>Annual Income (k$)</th>\n",
              "      <th>Spending Score (1-100)</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>200.000000</td>\n",
              "      <td>200.000000</td>\n",
              "      <td>200.000000</td>\n",
              "      <td>200.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>100.500000</td>\n",
              "      <td>38.850000</td>\n",
              "      <td>60.560000</td>\n",
              "      <td>50.200000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>57.879185</td>\n",
              "      <td>13.969007</td>\n",
              "      <td>26.264721</td>\n",
              "      <td>25.823522</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>18.000000</td>\n",
              "      <td>15.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>50.750000</td>\n",
              "      <td>28.750000</td>\n",
              "      <td>41.500000</td>\n",
              "      <td>34.750000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>100.500000</td>\n",
              "      <td>36.000000</td>\n",
              "      <td>61.500000</td>\n",
              "      <td>50.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>150.250000</td>\n",
              "      <td>49.000000</td>\n",
              "      <td>78.000000</td>\n",
              "      <td>73.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>200.000000</td>\n",
              "      <td>70.000000</td>\n",
              "      <td>137.000000</td>\n",
              "      <td>99.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
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              "  </svg>\n",
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              "\n",
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              "      background-color: #434B5C;\n",
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              "  </style>\n",
              "\n",
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              "          document.querySelector('#df-31c57889-432d-49a7-81ac-652cae9ee7b2 button.colab-df-convert');\n",
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              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-31c57889-432d-49a7-81ac-652cae9ee7b2');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
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              "        }\n",
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              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "       CustomerID         Age  Annual Income (k$)  Spending Score (1-100)\n",
              "count  200.000000  200.000000          200.000000              200.000000\n",
              "mean   100.500000   38.850000           60.560000               50.200000\n",
              "std     57.879185   13.969007           26.264721               25.823522\n",
              "min      1.000000   18.000000           15.000000                1.000000\n",
              "25%     50.750000   28.750000           41.500000               34.750000\n",
              "50%    100.500000   36.000000           61.500000               50.000000\n",
              "75%    150.250000   49.000000           78.000000               73.000000\n",
              "max    200.000000   70.000000          137.000000               99.000000"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.dtypes"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nP9LirQl0Ae9",
        "outputId": "c5972fab-7271-4619-bb1a-2b5a8672fbf3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "CustomerID                 int64\n",
              "Gender                    object\n",
              "Age                        int64\n",
              "Annual Income (k$)         int64\n",
              "Spending Score (1-100)     int64\n",
              "dtype: object"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.isnull().sum()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "r7Ehe9hK0GOY",
        "outputId": "cc987d9c-6a06-41c1-d7bd-f83b7d47aa89"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "CustomerID                0\n",
              "Gender                    0\n",
              "Age                       0\n",
              "Annual Income (k$)        0\n",
              "Spending Score (1-100)    0\n",
              "dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.drop(['CustomerID'],axis=1,inplace=True)"
      ],
      "metadata": {
        "id": "i50myYJ40Nck"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        },
        "id": "4eVVcNlz0ZUE",
        "outputId": "e5ca59c7-b683-4c62-a28f-1df789fdb54d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-ff268a9d-6d22-4c60-aeb1-848edb70639a\">\n",
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              "      <td>39</td>\n",
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              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>Male</td>\n",
              "      <td>21</td>\n",
              "      <td>15</td>\n",
              "      <td>81</td>\n",
              "    </tr>\n",
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              "      <th>2</th>\n",
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              "      <td>6</td>\n",
              "    </tr>\n",
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              "      <th>3</th>\n",
              "      <td>Female</td>\n",
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              "      <td>77</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Female</td>\n",
              "      <td>31</td>\n",
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              "\n",
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              "      background-color: #434B5C;\n",
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              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
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              "        }\n",
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              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "   Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
              "0    Male   19                  15                      39\n",
              "1    Male   21                  15                      81\n",
              "2  Female   20                  16                       6\n",
              "3  Female   23                  16                      77\n",
              "4  Female   31                  17                      40"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(1, figsize=(15,6))\n",
        "n=0\n",
        "for x in ['Age', \"Annual Income (k$)\", \"Spending Score (1-100)\"]:\n",
        "  n += 1\n",
        "  plt.subplot(1,3,n)\n",
        "  plt.subplots_adjust(hspace = 0.5, wspace = 0.5)\n",
        "  sns.distplot(df[x], bins=20)\n",
        "  plt.title('Displot of {}'.format(x))\n",
        "\n",
        "plt.show() "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 528
        },
        "id": "H0PkI52B0bzy",
        "outputId": "f0110c50-20ec-4341-ec7a-baefba2cafaf"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "  warnings.warn(msg, FutureWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "  warnings.warn(msg, FutureWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "  warnings.warn(msg, FutureWarning)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(15,5))\n",
        "sns.countplot(y='Gender', data=df)\n",
        "plt.show"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 351
        },
        "id": "qbrhexhW2Oeq",
        "outputId": "912a47da-cfca-4dc3-9841-03fee9aecc68"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function matplotlib.pyplot.show>"
            ]
          },
          "metadata": {},
          "execution_count": 17
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "This viz informs us that we have more females as our customers."
      ],
      "metadata": {
        "id": "ydmvlctRUncs"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(1, figsize=(15,6))\n",
        "n=0\n",
        "for cols in ['Age', \"Annual Income (k$)\", \"Spending Score (1-100)\"]:\n",
        "  n += 1\n",
        "  plt.subplot(1,3,n)\n",
        "  sns.set(style=\"whitegrid\")\n",
        "  plt.subplots_adjust(hspace = 0.5, wspace = 0.5)\n",
        "  sns.violinplot(x= cols, y='Gender', data=df)\n",
        "  plt.ylabel('Gender' if n == 1 else '')\n",
        "  plt.title('Violin Plot')\n",
        "\n",
        "plt.show() "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 410
        },
        "id": "MEpdVVxE2x8b",
        "outputId": "934534a6-7ed0-4baa-f6ae-6d905ad6d7a4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x432 with 3 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "More of our customers are female and falls in the age range of 20-40. More men earn more than their female counterparts while females have more Spending Score than their male counterpart"
      ],
      "metadata": {
        "id": "dMWrbMfvT-sp"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "age_18_25= df.Age[(df.Age >= 18) & (df.Age <= 25)]\n",
        "age_26_35= df.Age[(df.Age >= 26) & (df.Age <= 35)]\n",
        "age_36_45= df.Age[(df.Age >= 36) & (df.Age <= 45)]\n",
        "age_46_55= df.Age[(df.Age >= 46) & (df.Age <= 55)]\n",
        "age_55above= df.Age[(df.Age >= 56)]\n",
        "\n",
        "agex= [\"18-25\", '26-35', '36-45', '46-55', '55+']\n",
        "agey = [len(age_18_25.values),len(age_26_35.values),len(age_36_45.values),len(age_46_55.values),len(age_55above.values)]\n",
        "\n",
        "plt.figure(figsize=(15,6))\n",
        "sns.barplot(x=agex, y=agey, palette='mako')\n",
        "plt.title(\"Number of Customer and Ages\")\n",
        "plt.xlabel(\"Age\")\n",
        "plt.ylabel(\"Number of Customers\")\n",
        "plt.show()\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 410
        },
        "id": "6xrdr2Vm4fBU",
        "outputId": "8750ad4f-b546-4330-d801-5af221524ce4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Most of our customers are in the age range of 26-35, with the least being 55-70\n"
      ],
      "metadata": {
        "id": "A6EDKV7ATa2G"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sns.relplot(x=\"Annual Income (k$)\", y='Spending Score (1-100)', data=df)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 382
        },
        "id": "rRhGtj3_7buU",
        "outputId": "a37327fa-5809-4987-fa3f-3ce6e0420824"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.FacetGrid at 0x7f99b23618d0>"
            ]
          },
          "metadata": {},
          "execution_count": 21
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see a correlation in the range of 40-50 in Annual Income and that of Spending Score 40 -60 also."
      ],
      "metadata": {
        "id": "lD-c0ZDBTCeI"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "ss_1_20= df[\"Spending Score (1-100)\"][(df['Spending Score (1-100)'] >= 1) & (df['Spending Score (1-100)'] <= 20)]\n",
        "ss_21_40= df[\"Spending Score (1-100)\"][(df['Spending Score (1-100)'] >= 21) & (df['Spending Score (1-100)'] <= 40)]\n",
        "ss_41_60= df[\"Spending Score (1-100)\"][(df['Spending Score (1-100)'] >= 41) & (df['Spending Score (1-100)'] <= 60)]\n",
        "ss_61_80= df[\"Spending Score (1-100)\"][(df['Spending Score (1-100)'] >= 61) & (df['Spending Score (1-100)'] <= 80)]\n",
        "ss_81_100= df[\"Spending Score (1-100)\"][(df['Spending Score (1-100)'] >= 81) & (df['Spending Score (1-100)'] <= 100)]\n",
        "\n",
        "ssx= [\"1-20\", '21-40', '41-60', '61-80', '81-100']\n",
        "ssy = [len(ss_1_20.values),len(ss_21_40.values),len(ss_41_60.values),len(ss_61_80.values),len(ss_81_100.values)]\n",
        "\n",
        "\n",
        "plt.figure(figsize=(15,6))\n",
        "sns.barplot(x=ssx, y=ssy, palette='rocket')\n",
        "plt.title(\"Spending Score\")\n",
        "plt.xlabel(\"Score\")\n",
        "plt.ylabel(\"Number of Customers Having the Score\")\n",
        "plt.show()\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 410
        },
        "id": "E6mHyNgyAuHQ",
        "outputId": "3667276e-da61-475d-a568-860d83abe5e8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "from the visualization we can notice that most customers have the spending score of 41-60 and the least is 21-40."
      ],
      "metadata": {
        "id": "hI1TGnG1SJjd"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "ai0_30= df['Annual Income (k$)'][(df[\"Annual Income (k$)\"] >= 0) & (df[\"Annual Income (k$)\"] <= 30)]\n",
        "ai31_60= df['Annual Income (k$)'][(df[\"Annual Income (k$)\"] >= 31) & (df[\"Annual Income (k$)\"] <= 60)]\n",
        "ai61_90= df['Annual Income (k$)'][(df[\"Annual Income (k$)\"] >= 61) & (df[\"Annual Income (k$)\"] <= 90)]\n",
        "ai91_120= df['Annual Income (k$)'][(df[\"Annual Income (k$)\"] >= 91) & (df[\"Annual Income (k$)\"] <= 120)]\n",
        "ai121_150= df['Annual Income (k$)'][(df[\"Annual Income (k$)\"] >= 121) & (df[\"Annual Income (k$)\"] <= 150)]\n",
        "\n",
        "\n",
        "aix= [\"0-30\", '31-60', '61-90', '91-120', '121-150']\n",
        "aiy = [len(ai0_30.values),len(ai31_60.values),len(ai61_90.values),len(ai91_120.values),len(ai121_150.values)]\n",
        "\n",
        "plt.figure(figsize=(15,6))\n",
        "sns.barplot(x=aix, y=aiy, palette='Spectral')\n",
        "plt.title(\"Annual Income\")\n",
        "plt.xlabel(\"Income\")\n",
        "plt.ylabel(\"Number of Customers\")\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 410
        },
        "id": "oXI0Ll-qEVl6",
        "outputId": "2c67d845-98e6-471f-82de-401d468d96ad"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x432 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "from the visulization we notice that most customers earn in the range of $60001- $90000."
      ],
      "metadata": {
        "id": "mdu4tka-R0xY"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# modelling the data with the variables Age and Spending Score\n",
        "X1 = df.loc[:, [\"Age\", 'Spending Score (1-100)']].values\n",
        "\n",
        "from sklearn.cluster import KMeans\n",
        "wcss= []\n",
        "\n",
        "\n",
        "for k in range (1,11):\n",
        "  kmeans = KMeans(n_clusters=k, init='k-means++')\n",
        "  kmeans.fit(X1)\n",
        "  wcss.append(kmeans.inertia_)\n",
        "\n",
        "plt.figure(figsize=(12,6))\n",
        "plt.grid()\n",
        "plt.plot(range(1,11),wcss,linewidth=2,color='red',marker='8')\n",
        "plt.xlabel(\"K Value\")\n",
        "plt.ylabel(\"WCSS\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 394
        },
        "id": "1naYiGdyG9WB",
        "outputId": "3fdb85ea-df97-42a5-ecc0-67fba9d18eac"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "kmeans = KMeans(n_clusters=4)\n",
        "label = kmeans.fit_predict(X1)\n",
        "print(label)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tniY_0_RJVjz",
        "outputId": "85db9c96-ccc5-41f7-ddc3-64f408a647ef"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[3 1 0 1 3 1 0 1 0 1 0 1 0 1 0 1 3 3 0 1 3 1 0 1 0 1 0 3 0 1 0 1 0 1 0 1 0\n",
            " 1 0 1 2 1 2 3 0 3 2 3 3 3 2 3 3 2 2 2 2 2 3 2 2 3 2 2 2 3 2 2 3 3 2 2 2 2\n",
            " 2 3 2 3 3 2 2 3 2 2 3 2 2 3 3 2 2 3 2 3 3 3 2 3 2 3 3 2 2 3 2 3 2 2 2 2 2\n",
            " 3 3 3 3 3 2 2 2 2 3 3 3 1 3 1 2 1 0 1 0 1 3 1 0 1 0 1 0 1 0 1 3 1 0 1 2 1\n",
            " 0 1 0 1 0 1 0 1 0 1 0 1 2 1 0 1 0 1 0 1 0 3 0 1 0 1 0 1 0 1 0 1 0 1 0 1 3\n",
            " 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "print(kmeans.cluster_centers_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TIJKzye0JrTt",
        "outputId": "d80b792c-da07-4e86-9bb8-43465db49c95"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[43.29166667 15.02083333]\n",
            " [30.1754386  82.35087719]\n",
            " [55.70833333 48.22916667]\n",
            " [27.61702128 49.14893617]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(X1[:,0], X1[:,1], c=kmeans.labels_, cmap=\"rainbow\")\n",
        "plt.scatter(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], color=\"black\")\n",
        "plt.title(\"Clusters of Customers\")\n",
        "plt.xlabel('Age')\n",
        "plt.ylabel('Spending Score (1-100)')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 301
        },
        "id": "3BTemQk6Jx6z",
        "outputId": "ef2daa67-b3f6-43dc-bcf5-2028a003fedb"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# modelling with the variables Annual Income and Spending Score\n",
        "X2 = df.loc[:, [\"Annual Income (k$)\", 'Spending Score (1-100)']].values\n",
        "\n",
        "from sklearn.cluster import KMeans\n",
        "wcss= []\n",
        "\n",
        "\n",
        "for k in range (1,11):\n",
        "  kmeans = KMeans(n_clusters=k, init='k-means++')\n",
        "  kmeans.fit(X2)\n",
        "  wcss.append(kmeans.inertia_)\n",
        "\n",
        "plt.figure(figsize=(12,6))\n",
        "plt.grid()\n",
        "plt.plot(range(1,11),wcss,linewidth=2,color='red',marker='8')\n",
        "plt.xlabel(\"K Value\")\n",
        "plt.ylabel(\"WCSS\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 394
        },
        "id": "m_AZa56oLFCq",
        "outputId": "7b4d3d3d-3915-43d3-9f10-16f4ba6f9ac3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "kmeans = KMeans(n_clusters=5)\n",
        "label = kmeans.fit_predict(X2)\n",
        "print(label)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Y52y_1T1LpR4",
        "outputId": "1337fde5-96d5-48fc-eb18-2129bfb0a686"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4\n",
            " 0 4 0 4 0 4 1 4 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
            " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
            " 1 1 1 1 1 1 1 1 1 1 1 1 2 3 2 1 2 3 2 3 2 1 2 3 2 3 2 3 2 3 2 1 2 3 2 3 2\n",
            " 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3\n",
            " 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "print(kmeans.cluster_centers_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4nPfR5TSLtRT",
        "outputId": "e1cc7eda-be24-47e7-f10d-dbeacb4c840e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[25.72727273 79.36363636]\n",
            " [55.2962963  49.51851852]\n",
            " [86.53846154 82.12820513]\n",
            " [88.2        17.11428571]\n",
            " [26.30434783 20.91304348]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(X2[:,0], X2[:,1], c=kmeans.labels_, cmap=\"rainbow\")\n",
        "plt.scatter(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], color=\"black\")\n",
        "plt.title(\"Clusters of Customers\")\n",
        "plt.xlabel('Annual Income (k$)')\n",
        "plt.ylabel('Spending Score (1-100)')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 301
        },
        "id": "30tVSiw_L6Dd",
        "outputId": "6e4dd5c9-32a3-48a0-b65c-8028ad3e9843"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# considering the variables Age, Annual Income and Spending score \n",
        "X3= df.iloc[:,1:]\n",
        "wcss= []\n",
        "\n",
        "# the k value for the three variables\n",
        "for k in range (1,11):\n",
        "  kmeans = KMeans(n_clusters=k, init='k-means++')\n",
        "  kmeans.fit(X3)\n",
        "  wcss.append(kmeans.inertia_)\n",
        "  \n",
        "plt.figure(figsize=(12,6))\n",
        "plt.grid()\n",
        "plt.plot(range(1,11),wcss,linewidth=2,color='red',marker='8')\n",
        "plt.xlabel(\"K Value\")\n",
        "plt.ylabel(\"WCSS\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 394
        },
        "id": "9MRhbONzMPov",
        "outputId": "cd2c1240-9f6c-482a-b00f-9a70ef3e2b3a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "kmeans = KMeans(n_clusters=5)\n",
        "label = kmeans.fit_predict(X3)\n",
        "print(label)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IjoBzpSsMrG8",
        "outputId": "62a5f21e-7259-4fdf-a3e0-cc3f5ba112af"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1\n",
            " 0 1 0 1 0 1 0 1 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n",
            " 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n",
            " 3 3 3 3 3 3 3 3 3 3 3 3 2 4 2 3 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 3 2 4 2 4 2\n",
            " 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4\n",
            " 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# centroid of the three variables\n",
        "print(kmeans.cluster_centers_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Q0vVu_7HM1eX",
        "outputId": "a6949c6f-a7f4-4fd1-abbc-54f41975473c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[25.52173913 26.30434783 78.56521739]\n",
            " [45.2173913  26.30434783 20.91304348]\n",
            " [32.69230769 86.53846154 82.12820513]\n",
            " [43.08860759 55.29113924 49.56962025]\n",
            " [40.66666667 87.75       17.58333333]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "clusters= kmeans.fit_predict(X3)\n",
        "df[\"label\"]= clusters\n",
        "# use 3D to visualize the three variables\n",
        "from mpl_toolkits.mplot3d import Axes3D\n",
        "\n",
        "fig = plt.figure(figsize=(20,10))\n",
        "ax = fig.add_subplot(111, projection='3d')\n",
        "ax.scatter(df.Age[df.label == 0], df['Annual Income (k$)'][df.label == 0], df[\"Spending Score (1-100)\"][df.label == 0], c= 'blue', s=60)\n",
        "ax.scatter(df.Age[df.label == 1], df['Annual Income (k$)'][df.label == 1], df[\"Spending Score (1-100)\"][df.label == 1], c= 'red', s=60)\n",
        "ax.scatter(df.Age[df.label == 2], df['Annual Income (k$)'][df.label == 2], df[\"Spending Score (1-100)\"][df.label == 2], c= 'green', s=60)\n",
        "ax.scatter(df.Age[df.label == 3], df['Annual Income (k$)'][df.label == 3], df[\"Spending Score (1-100)\"][df.label == 3], c= 'orange', s=60)\n",
        "ax.scatter(df.Age[df.label == 4], df['Annual Income (k$)'][df.label == 4], df[\"Spending Score (1-100)\"][df.label == 4], c= 'purple', s=60)\n",
        "ax.view_init(30, 185)\n",
        "\n",
        "plt.xlabel(\"Age\")\n",
        "plt.ylabel(\"Annual Income (k$)\")\n",
        "ax.set_zlabel(\"Spending Score(1-100)\")\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 575
        },
        "id": "mfKY-lyDNAp1",
        "outputId": "da53f7c8-0fd5-43c2-f51a-3efa40adff26"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x720 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    }
  ]
}