{"id":23571,"date":"2026-05-06T14:57:14","date_gmt":"2026-05-06T14:57:14","guid":{"rendered":"https:\/\/umang.pk\/2026\/05\/06\/%da%88%db%8c%d9%b9%d8%a7-%d8%b3%d8%a7%d8%a6%d9%86%d8%b3-%d8%a8%d8%b5%db%8c%d8%b1%d8%aa-%da%af%d9%86%d8%af%db%92-%d8%ae%d9%88%d8%b1%d8%af%db%81-%da%88%db%8c%d9%b9%d8%a7-%d8%b3%db%92-%d9%86%d9%85%d9%b9\/"},"modified":"2026-05-06T14:57:15","modified_gmt":"2026-05-06T14:57:15","slug":"%da%88%db%8c%d9%b9%d8%a7-%d8%b3%d8%a7%d8%a6%d9%86%d8%b3-%d8%a8%d8%b5%db%8c%d8%b1%d8%aa-%da%af%d9%86%d8%af%db%92-%d8%ae%d9%88%d8%b1%d8%af%db%81-%da%88%db%8c%d9%b9%d8%a7-%d8%b3%db%92-%d9%86%d9%85%d9%b9","status":"publish","type":"post","link":"https:\/\/umang.pk\/en_us\/2026\/05\/06\/%da%88%db%8c%d9%b9%d8%a7-%d8%b3%d8%a7%d8%a6%d9%86%d8%b3-%d8%a8%d8%b5%db%8c%d8%b1%d8%aa-%da%af%d9%86%d8%af%db%92-%d8%ae%d9%88%d8%b1%d8%af%db%81-%da%88%db%8c%d9%b9%d8%a7-%d8%b3%db%92-%d9%86%d9%85%d9%b9\/","title":{"rendered":"\u0688\u06cc\u0679\u0627 \u0633\u0627\u0626\u0646\u0633 \u0628\u0635\u06cc\u0631\u062a: \u06af\u0646\u062f\u06d2 \u062e\u0648\u0631\u062f\u06c1 \u0688\u06cc\u0679\u0627 \u0633\u06d2 \u0646\u0645\u0679\u0646\u0627 \u06a9\u06cc\u0648\u06ba \u0645\u0639\u0646\u06cc \u062e\u06cc\u0632 \u06c1\u06d2\u06d4"},"content":{"rendered":"\n
\n

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\u0645\u06a9\u0645\u0644<\/p>\n

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\u0627\u0646\u0688\u06cc\u06a9\u0633<\/h2>\n

\u0634\u0631\u0637\u06cc\u06ba<\/h2>\n

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\u0628\u0646\u06cc\u0627\u062f\u06cc \u0627\u0632\u06af\u0631 \u06a9\u0627 \u0639\u0644\u0645:<\/strong> \u0645\u062a\u063a\u06cc\u0631\u0627\u062a \u0627\u0648\u0631 \u0627\u0641\u0639\u0627\u0644 \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u0627<\/p>\n

\u067e\u0627\u0646\u0688\u0627 \u0644\u0627\u0626\u0628\u0631\u06cc\u0631\u06cc:<\/strong> \u0688\u06cc\u0679\u0627 \u0644\u0648\u0688\u0646\u06af \u0627\u0648\u0631 \u0628\u0646\u06cc\u0627\u062f\u06cc \u0688\u06cc\u0679\u0627 \u0641\u0631\u06cc\u0645 \u0622\u067e\u0631\u06cc\u0634\u0646\u0632 \u06a9\u0627 \u0639\u0644\u0645\u06d4<\/p>\n

\u062a\u0631\u0642\u06cc \u06a9\u0627 \u0645\u0627\u062d\u0648\u0644:<\/strong> Jupyter Notebook\u060c VS Code\u060c \u06cc\u0627 Google Colab \u062c\u06cc\u0633\u06d2 \u0679\u0648\u0644\u0632 \u062a\u06a9 \u0631\u0633\u0627\u0626\u06cc \u062d\u0627\u0635\u0644 \u06a9\u0631\u06cc\u06ba\u06d4<\/p>\n

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\u0688\u06cc\u0679\u0627 \u0633\u06cc\u0679<\/strong><\/h2>\n

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    \n
  1. \n

    \u0645\u0627\u062e\u0630:<\/strong> UCI \u0645\u0634\u06cc\u0646 \u0644\u0631\u0646\u0646\u06af \u0631\u06cc\u067e\u0648\u0632\u0679\u0631\u06cc<\/p>\n<\/li>\n

  2. \n

    \u062c\u0645\u0639 \u06a9\u0631\u0646\u06d2 \u0648\u0627\u0644\u0627:<\/strong> \u0628\u0631\u0637\u0627\u0646\u06cc\u06c1 \u0645\u06cc\u06ba \u0645\u0642\u06cc\u0645 \u0622\u0646 \u0644\u0627\u0626\u0646 \u062e\u0648\u0631\u062f\u06c1 \u0641\u0631\u0648\u0634 (2010-2011)<\/p>\n<\/li>\n

  3. \n

    \u0633\u0627\u0626\u0632:<\/strong> 541,909 \u0644\u06cc\u0646 \u062f\u06cc\u0646<\/p>\n<\/li>\n

  4. \n

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  5. \n

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  6. \n

    \u067e\u06cc\u0679\u0646\u0679:<\/strong> \u062a\u062d\u0642\u06cc\u0642 \u0627\u0648\u0631 \u062a\u0639\u0644\u06cc\u0645 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u06be\u0644\u0627\u06d4<\/p>\n<\/li>\n<\/ol>\n

    \u0645\u0639\u0646\u06cc: \u062d\u0633\u0627\u0633 \u062f\u06cc\u0648<\/h2>\n

    \u0634\u0645\u0627\u0631\u06cc\u0627\u062a \u0627\u0648\u0631 \u0688\u06cc\u0679\u0627 \u06a9\u06d2 \u062a\u062c\u0632\u06cc\u06c1 \u0645\u06cc\u06ba”\u0627\u0648\u0633\u0637<\/strong>"\u0627\u0648\u0631”\u0631\u06cc\u0627\u0636\u06cc \u06a9\u0627 \u0645\u0637\u0644\u0628<\/strong>"\u0627\u06a9\u062b\u0631 \u0627\u06cc\u06a9 \u062f\u0648\u0633\u0631\u06d2 \u06a9\u06d2 \u0633\u0627\u062a\u06be \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u06c1\u0645\u0627\u0631\u0627 \u0645\u0642\u0635\u062f \u0688\u06cc\u0679\u0627\u0633\u06cc\u0679 \u0645\u06cc\u06ba \u0627\u0648\u0633\u0637 \u06a9\u0644 \u0642\u06cc\u0645\u062a \u062a\u0644\u0627\u0634 \u06a9\u0631\u0646\u0627 \u06c1\u06d2\u06d4 \u0622\u0646 \u0644\u0627\u0626\u0646 \u0631\u06cc\u0679\u06cc\u0644 \u0688\u06cc\u0679\u0627\u0633\u06cc\u0679 \u06a9\u06d2 \u062a\u0646\u0627\u0638\u0631 \u0645\u06cc\u06ba\u060c \u0627\u0648\u0633\u0637 \u062f\u0631\u062c \u0630\u06cc\u0644 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06c1 \u062f\u06cc \u062c\u0627\u062a\u06cc \u06c1\u06d2:<\/p>\n

    $$text{\u0627\u0648\u0633\u0637 \u0622\u0631\u0688\u0631 \u06a9\u06cc \u0631\u0642\u0645} = frac{text{\u062a\u0645\u0627\u0645 \u06a9\u0644 \u0642\u06cc\u0645\u062a\u0648\u06ba \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1}}{text{\u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f}}$$<\/p>\n

    \u06c1\u0645\u0627\u0631\u06d2 \u0688\u06cc\u0679\u0627 \u0633\u06cc\u0679 \u0645\u06cc\u06ba\u060c \u062a\u0645\u0627\u0645 \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u06cc \u0642\u062f\u0631\u0648\u06ba (\u0628\u0634\u0645\u0648\u0644 \u0628\u0644\u06a9 \u062e\u0631\u06cc\u062f\u0627\u0631\u06cc \u0627\u0648\u0631 \u0648\u0627\u067e\u0633\u06cc) \u06a9\u0648 \u062c\u0645\u0639 \u06a9\u0631\u06a9\u06d2 \u0627\u0648\u0631 \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u06cc \u06a9\u0644 \u062a\u0639\u062f\u0627\u062f \u0633\u06d2 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0631\u06a9\u06d2 \u0627\u0648\u0633\u0637 \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0633 \u06a9\u0627 \u0645\u0637\u0644\u0628 \u06c1\u06d2 \u06a9\u06c1 \u062a\u0645\u0627\u0645 \u0627\u0642\u062f\u0627\u0631\u060c \u0642\u0637\u0639 \u0646\u0638\u0631 \u0627\u0633 \u0633\u06d2 \u06a9\u06c1 \u0648\u06c1 \u063a\u06cc\u0631 \u0645\u0639\u0645\u0648\u0644\u06cc \u0637\u0648\u0631 \u067e\u0631 \u0632\u06cc\u0627\u062f\u06c1 \u06c1\u0648\u06ba \u06cc\u0627 \u0645\u0646\u0641\u06cc\u060c \u062d\u062a\u0645\u06cc \u0627\u0648\u0633\u0637 \u067e\u0631 \u0628\u0631\u0627\u06c1 \u0631\u0627\u0633\u062a \u0627\u062b\u0631 \u0688\u0627\u0644\u062a\u06cc \u06c1\u06cc\u06ba\u06d4<\/p>\n

    # Load the dataset\nurl = \"https:\/\/archive.ics.uci.edu\/ml\/machine-learning-databases\/00352\/Online%20Retail.xlsx\"\ndf = pd.read_excel(url, engine=\"openpyxl\")\n\n# Clean and Feature Engineering\ndf = df.dropna(subset=['CustomerID'])\ndf['TotalPrice'] = df['Quantity'] * df['UnitPrice']\n\n# Calculate the Mean (Average Order Value)\nmean_value = df['TotalPrice'].mean()\nprint(f\"Average Order Value (Mean): {mean_value:.2f}\")\n<\/code><\/pre>\n
    \u0646\u062a\u0627\u0626\u062c \u062f\u0631\u062c \u0630\u06cc\u0644 \u06c1\u06cc\u06ba:<\/p>\n
    Average Order Value (Mean): 20.40\n<\/code><\/pre>\n
    \u067e\u06c1\u0644\u06cc \u0646\u0638\u0631 \u0645\u06cc\u06ba\u060c \u0646\u062a\u0627\u0626\u062c \u0627\u0645\u06cc\u062f \u0627\u0641\u0632\u0627 \u0644\u06af \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba. \u062a\u0645\u0627\u0645 \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06cc\u06a9\u0633\u0627\u06ba \u0637\u0648\u0631 \u067e\u0631 \u062d\u0635\u06c1 \u0688\u0627\u0644\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0644\u06cc\u06a9\u0646 \u06cc\u06c1\u06cc\u06ba \u0645\u0633\u0626\u0644\u06c1 \u06c1\u06d2\u06d4 \u0628\u0639\u0636 \u0627\u0648\u0642\u0627\u062a \u06a9\u0686\u06be \u0628\u06c1\u062a \u0632\u06cc\u0627\u062f\u06c1 \u06cc\u0627 \u0628\u06c1\u062a \u06a9\u0645 \u0679\u0631\u0627\u0646\u0632\u06cc\u06a9\u0634\u0646\u0632 \u0642\u0631\u06cc\u0628\u06cc \u0631\u06cc\u0646\u062c \u0645\u06cc\u06ba \u062a\u0645\u0627\u0645 \u0635\u0627\u0631\u0641\u06cc\u0646 \u06a9\u06cc \u0627\u0648\u0633\u0637 \u06a9\u0648 \u0645\u062a\u0627\u062b\u0631 \u06a9\u0631\u062a\u06cc \u06c1\u06cc\u06ba\u06d4<\/p>\n
    \u0630\u06cc\u0644 \u0645\u06cc\u06ba \u0627\u0648\u0633\u0637 \u06af\u0631\u0627\u0641 \u067e\u0631 \u0627\u06cc\u06a9 \u0646\u0638\u0631 \u0688\u0627\u0644\u06cc\u06ba\u06d4<\/p>\n
    \u06af\u0631\u0627\u0641 \u0622\u0646 \u0644\u0627\u0626\u0646 \u0631\u06cc\u0679\u06cc\u0644 \u0688\u06cc\u0679\u0627\u0633\u06cc\u0679 \u0633\u06d2 \u0627\u0648\u0633\u0637 \u06a9\u0644 \u0642\u06cc\u0645\u062a \u062f\u06a9\u06be\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0648\u0633\u0637 20.42 \u06c1\u06d2\u06d4 (\u062a\u0635\u0627\u0648\u06cc\u0631 \u0645\u0635\u0646\u0641 \u06a9\u06cc \u0637\u0631\u0641 \u0633\u06d2)<\/p>\n
    \u06af\u0631\u0627\u0641 \u062f\u0631\u062c \u0630\u06cc\u0644 \u06c1\u06d2\u06d4 \u062a\u0642\u0633\u06cc\u0645 \u062f\u0627\u0626\u06cc\u06ba \u0637\u0631\u0641 \u0645\u0691\u06cc \u06c1\u0648\u0626\u06cc \u06c1\u06d2\u06d4<\/strong> \u06cc\u06c1\u0627\u06ba 20.40 \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u06cc\u0627 \u06af\u06cc\u0627 \u0627\u0648\u0633\u0637 \u062f\u0631\u0627\u0635\u0644 \u0627\u06cc\u06a9 \u062f\u0631\u0633\u06cc \u06a9\u062a\u0627\u0628 \u06a9\u0627 \u062c\u0627\u0644 \u06c1\u06d2\u06d4 \u0633\u0628 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u0628\u0627\u0631 \u0648\u0627\u0636\u062d \u0637\u0648\u0631 \u067e\u0631 \u0638\u0627\u06c1\u0631 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0632\u06cc\u0627\u062f\u06c1 \u062a\u0631 \u0644\u06cc\u0646 \u062f\u06cc\u0646 (8 – )15 \u06a9\u06cc \u062d\u062f \u0645\u06cc\u06ba \u06c1\u06cc\u06ba\u06d4 \u0633\u0631\u062e \u0644\u06a9\u06cc\u0631<\/strong> \u06a9\u06cc \u0637\u0631\u0641 \u0633\u06d2 \u062f\u0627\u0626\u06cc\u06ba \u0637\u0631\u0641 \u06a9\u06be\u06cc\u0646\u0686\u0627 \u062c\u0627 \u0631\u06c1\u0627 \u06c1\u06d2\u06d4 \u0644\u0645\u0628\u06cc \u062f\u0645<\/strong> \u06a9\u0686\u06be \u06af\u0627\u06c1\u06a9\u0648\u06ba \u06a9\u06cc \u0637\u0631\u0641 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u0642\u06cc\u0645\u062a \u0648\u0627\u0644\u06d2 \u0628\u0644\u06a9 \u0622\u0631\u0688\u0631\u0632\u06d4<\/p>\n
    \u0627\u0633 \u0645\u0646\u0638\u0631 \u0646\u0627\u0645\u06d2 \u0645\u06cc\u06ba\u060c \u0627\u0648\u0633\u0637 \u0642\u06cc\u0645\u062a \u0622\u0624\u0679 \u0644\u06cc\u0631\u0632 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0628\u06c1\u062a \u062d\u0633\u0627\u0633 \u06c1\u06d2\u060c \u0627\u0633 \u0644\u06cc\u06d2 \u06cc\u06c1 \u0627\u0633 \u0633\u06d2 \u06a9\u06c1\u06cc\u06ba \u0632\u06cc\u0627\u062f\u06c1 \u06c1\u06d2 \u062c\u0648 \u0627\u0648\u0633\u0637 \u06af\u0627\u06c1\u06a9 \u0627\u0635\u0644 \u0645\u06cc\u06ba \u062e\u0631\u0686 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u062f\u0631\u062d\u0642\u06cc\u0642\u062a \u0632\u06cc\u0627\u062f\u06c1 \u062a\u0631 \u0688\u06cc\u0679\u0627 \u06a9\u0645 \u0642\u06cc\u0645\u062a \u06a9\u06cc \u062d\u062f \u0645\u06cc\u06ba \u06c1\u06d2\u06d4<\/p>\n
    \u0633\u06cc\u062f\u06be\u06d2 \u0627\u0644\u0641\u0627\u0638 \u0645\u06cc\u06ba\u060c \u0627\u0648\u0633\u0637 \u06a9\u0648 \u06a9\u0686\u06be \u0627\u0646\u062a\u06c1\u0627\u0626\u06cc \u0627\u0642\u062f\u0627\u0631 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06c1 \u062f\u0627\u0626\u06cc\u06ba \u0637\u0631\u0641 \u06a9\u06be\u06cc\u0646\u0686\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2 \u062c\u0648 \u06af\u0631\u0627\u0641 \u067e\u0631 \u0646\u0645\u0627\u06cc\u0627\u06ba \u06c1\u0648\u062a\u06cc \u06c1\u06cc\u06ba\u060c \u062e\u0627\u0635 \u0637\u0648\u0631 \u067e\u0631 \u0648\u06c1 \u062c\u0648 200-300 \u06a9\u06cc \u062d\u062f \u0645\u06cc\u06ba \u06c1\u06cc\u06ba\u06d4<\/p>\n
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    \u0645\u06cc\u0688\u06cc\u0646 \u06a9\u06cc \u062a\u0639\u0631\u06cc\u0641 \u0627\u0633 \u0637\u0631\u062d \u06a9\u06cc \u06af\u0626\u06cc \u06c1\u06d2: \u0688\u06cc\u0679\u0627 \u06a9\u0648 \u062a\u0631\u062a\u06cc\u0628 \u062f\u06cc\u0646\u06d2 \u06a9\u06d2 \u0628\u0639\u062f \u06cc\u06c1 \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u0642\u062f\u0631 \u06c1\u06d2\u06d4<\/strong><\/p>\n
    \u0688\u06cc\u0679\u0627 \u0633\u06cc\u0679 \u0645\u06cc\u06ba\u060c \u06c1\u0645 \u062a\u0645\u0627\u0645 \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u0648 \u062a\u0631\u062a\u06cc\u0628 \u062f\u06cc\u062a\u06d2 \u06c1\u06cc\u06ba \u0627\u0648\u0631 \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u0648 \u0645\u0646\u062a\u062e\u0628 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n
    \u0645\u06cc\u0688\u06cc\u0646 \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u0646\u06d2 \u06a9\u0627 \u0641\u0627\u0631\u0645\u0648\u0644\u0627 \u06cc\u06c1 \u06c1\u06d2:<\/p>\n
    $$text{Median} = begin{cases} X_{left[ frac{n+1}{2} right]} \u0627\u0648\u0631 text{if } n text{ \u0639\u062c\u06cc\u0628 \u06c1\u06d2}  frac{X_{left[ frac{n}{2} right]} +[ frac{n}{2} + 1 right]}}{2} \u0627\u0648\u0631 text{if } n text{is even} end{cases}$$<\/p>\n
    \u0648\u0633\u0637 \u06a9\u06d2 \u0628\u0631\u0639\u06a9\u0633\u060c \u0645\u06cc\u0688\u06cc\u0646 \u0627\u0646\u062a\u06c1\u0627\u0626\u06cc \u0642\u062f\u0631\u0648\u06ba \u067e\u0631 \u0645\u0646\u062d\u0635\u0631 \u0646\u06c1\u06cc\u06ba \u06c1\u06d2 \u0627\u0648\u0631 \u0635\u0631\u0641 \u0688\u06cc\u0679\u0627 \u06a9\u06d2 \u0645\u0642\u0627\u0645 \u06a9\u06cc \u067e\u0631\u0648\u0627\u06c1 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u060c \u0646\u06c1 \u06a9\u06c1 \u0627\u0633 \u06a9\u06d2 \u0633\u0627\u0626\u0632 \u06a9\u0627\u06d4<\/p>\n
    # Clean and Feature Engineering\ndf = df.dropna(subset=['CustomerID'])\ndf['TotalPrice'] = df['Quantity'] * df['UnitPrice']\n\n# Calculate only the Median\nmedian_value = df['TotalPrice'].median()\nprint(f\"Typical Order Value (Median): {median_value:.2f}\")\n<\/code><\/pre>\n
    \u0646\u062a\u0627\u0626\u062c \u062f\u0631\u062c \u0630\u06cc\u0644 \u06c1\u06cc\u06ba:<\/p>\n
    Typical Order Value (Median): 11.10\n<\/code><\/pre>\n
    \u0627\u0628 \u0622\u067e \u062f\u06cc\u06a9\u06be \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba \u06a9\u06c1 \u0646\u062a\u0627\u0626\u062c (8 \u2014 )15 \u06a9\u06cc \u062d\u062f \u0645\u06cc\u06ba \u06c1\u06cc\u06ba\u060c \u062c\u06c1\u0627\u06ba \u0632\u06cc\u0627\u062f\u06c1 \u062a\u0631 \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n
    \"\u06af\u0627\u06c1\u06a9<\/p>\n
    \u06af\u0627\u06c1\u06a9 \u06a9\u06d2 \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u06cc \u0635\u062d\u06cc\u062d \u0642\u06cc\u0645\u062a \u062d\u0627\u0635\u0644 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u062a\u0635\u0648\u06cc\u0631 \u0627\u06cc\u06a9 \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u06af\u0631\u0627\u0641 \u062f\u06a9\u06be\u0627\u062a\u06cc \u06c1\u06d2\u06d4 (\u062a\u0635\u0627\u0648\u06cc\u0631 \u0645\u0635\u0646\u0641 \u06a9\u06cc \u0637\u0631\u0641 \u0633\u06d2)<\/p>\n
    \u067e\u0686\u06be\u0644\u06d2 \u06af\u0631\u0627\u0641 \u0645\u06cc\u06ba\u060c \u0628\u0691\u06d2 \u0622\u0631\u0688\u0631\u0632 \u06a9\u06cc \u0648\u062c\u06c1 \u0633\u06d2 \u0627\u0648\u0633\u0637 \u06a9\u0648 \u062f\u0627\u0626\u06cc\u06ba \u0637\u0631\u0641 \u06a9\u06be\u06cc\u0646\u0686 \u0644\u06cc\u0627 \u06af\u06cc\u0627 \u062a\u06be\u0627\u060c \u0644\u06cc\u06a9\u0646 \u0645\u06cc\u0688\u06cc\u0646 \u0635\u0631\u0641 \u06cc\u06c1 \u067e\u0648\u0686\u06be\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0645\u06cc\u0688\u06cc\u0646 \u06a9\u0633\u0679\u0645\u0631 \u06a9\u062a\u0646\u0627 \u062e\u0631\u0686 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u0644\u06c1\u0630\u0627 \u06cc\u06c1\u0627\u06ba \u062a\u06a9 \u06a9\u06c1 \u0627\u06af\u0631 \u06a9\u0648\u0626\u06cc $300 \u062e\u0631\u0686 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u06cc\u0627 \u06a9\u0686\u06be \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u0645\u0646\u0641\u06cc \u06c1\u0648 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u0645\u06cc\u0688\u06cc\u0646 \u0645\u0633\u062a\u062d\u06a9\u0645 \u0631\u06c1\u06d2 \u06af\u0627\u06d4<\/p>\n
    \u0627\u0648\u067e\u0631 \u06a9\u06cc \u062a\u0635\u0648\u06cc\u0631 \u0645\u06cc\u06ba \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u06af\u0631\u0627\u0641<\/strong> \u0628\u0627\u0644\u06a9\u0644 \u0646\u0645\u0627\u06cc\u0627\u06ba \u06a9\u0631\u06cc\u06ba \u062c\u06c1\u0627\u06ba \u0622\u067e \u06a9\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u062a\u0631 \u06af\u0627\u06c1\u06a9 \u06c1\u06cc\u06ba\u06d4<\/p>\n
    \u0627\u0648\u0633\u0637 \u0633\u06d2 \u0622\u06af\u06d2: \u06a9\u0648\u0627\u0631\u0679\u0627\u0626\u0644 \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u067e\u06be\u06cc\u0644\u0627\u0624 \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u0627<\/strong><\/h2>\n
    \u06c1\u0645 \u0646\u06d2 \u0627\u0628 \u062a\u06a9 \u0645\u06cc\u0688\u06cc\u0646 \u06a9\u0627 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u0627 \u06c1\u06d2\u060c \u0644\u06cc\u06a9\u0646 \u0635\u0631\u0641 \u0645\u06cc\u0688\u06cc\u0646 \u062c\u0627\u0646\u0646\u0627 \u06a9\u0627\u0641\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u06d4<\/p>\n
    \u0635\u062d\u06cc\u062d \u0645\u0639\u0646\u0648\u06ba \u0645\u06cc\u06ba \u06cc\u06c1 \u0633\u0645\u062c\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u06c1 \u06af\u0627\u06c1\u06a9 \u06a9\u06d2 \u0627\u062e\u0631\u0627\u062c\u0627\u062a \u06a9\u06cc\u0633\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u0622\u067e \u06a9\u0648 \u06cc\u06c1 \u0633\u0645\u062c\u06be\u0646\u06d2 \u06a9\u06cc \u0636\u0631\u0648\u0631\u062a \u06c1\u06d2 \u06a9\u06c1 \u0622\u067e \u06a9\u0627 \u0688\u06cc\u0679\u0627 \u06a9\u0633 \u0637\u0631\u062d \u062a\u0642\u0633\u06cc\u0645 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u06cc\u06c1\u06cc\u06ba \u0633\u06d2 \u06a9\u0648\u0627\u0631\u0679\u0627\u0626\u0644 \u06a9\u0627\u0645 \u0645\u06cc\u06ba \u0622\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n
    \u06a9\u0648\u0627\u0631\u0679\u0627\u0626\u0644 \u0688\u06cc\u0679\u0627 \u0633\u06cc\u0679 \u06a9\u0648 \u062f\u0631\u062c \u0630\u06cc\u0644 \u062d\u0635\u0648\u06ba \u0645\u06cc\u06ba \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba:<\/p>\n
      \n
    1. \n
      Q1 (25\u0648\u0627\u06ba \u067e\u0631\u0633\u0646\u0679\u0627\u0626\u0644):<\/strong> 25% \u0679\u0631\u0627\u0646\u0632\u06cc\u06a9\u0634\u0646\u0632 \u0627\u0633 \u0633\u06d2 \u06a9\u0645 \u06c1\u06cc\u06ba\u06d4<\/p>\n<\/li>\n
    2. \n
      Q2 (50 \u0648\u0627\u06ba \u067e\u0631\u0633\u0646\u0679\u0627\u0626\u0644):<\/strong> \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc<\/p>\n<\/li>\n
    3. \n
      Q3 (75 \u0641\u06cc\u0635\u062f):<\/strong> 75% \u0679\u0631\u0627\u0646\u0632\u06cc\u06a9\u0634\u0646\u0632 \u0627\u0633 \u0633\u06d2 \u06a9\u0645 \u06c1\u06cc\u06ba\u06d4<\/p>\n<\/li>\n<\/ol>\n
      \u0627\u0633\u06d2 \u0628\u0627\u0636\u0627\u0628\u0637\u06c1 \u0637\u0648\u0631 \u067e\u0631 \u0627\u0646\u0679\u0631\u06a9\u0648\u0627\u0631\u0679\u0627\u0626\u0644 \u0631\u06cc\u0646\u062c (IQR) \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u0638\u0627\u06c1\u0631 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n
      $$IQR = Q_3 – Q_1$$<\/p>\n
      IQR: \u0628\u0627\u06c1\u0631 \u06a9\u06cc \u0634\u0646\u0627\u062e\u062a<\/strong><\/h3>\n
      IQR \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc 50% \u0645\u06cc\u06ba \u067e\u06be\u06cc\u0644\u0627\u0624 \u06a9\u06cc \u067e\u06cc\u0645\u0627\u0626\u0634 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n
      \u0627\u06af\u0631 IQR \u0686\u06be\u0648\u0679\u0627 \u06c1\u06d2\u060c \u062a\u0648 \u0688\u06cc\u0679\u0627 \u0645\u0631\u062a\u06a9\u0632 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4 \u0628\u0691\u06d2 \u0633\u0627\u0626\u0632 \u06a9\u06d2 \u0646\u062a\u06cc\u062c\u06d2 \u0645\u06cc\u06ba \u0688\u06cc\u0679\u0627 \u0628\u06a9\u06be\u0631 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 IQR \u0631\u06cc\u0627\u0636\u06cc \u06a9\u06d2 \u0644\u062d\u0627\u0638 \u0633\u06d2 \u0628\u0627\u06c1\u0631 \u062c\u0627\u0646\u06d2 \u0648\u0627\u0644\u0648\u06ba \u06a9\u06cc \u0634\u0646\u0627\u062e\u062a \u0645\u06cc\u06ba \u0628\u06be\u06cc \u0645\u062f\u062f \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n
      \u0638\u0627\u06c1\u0631\u06cc \u0627\u0635\u0648\u0644:<\/p>\n
        \n
      1. \n
        \u0644\u0648\u0626\u0631 \u0628\u0627\u0624\u0646\u0688 = Q1 – 1.5 * IQR<\/strong><\/p>\n<\/li>\n
      2. \n
        \u0627\u067e\u0631 \u0628\u0627\u0624\u0646\u0688 = Q3 + 1.5 * IQR<\/strong><\/p>\n<\/li>\n<\/ol>\n
        IQR \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0627\u06cc\u06a9 \u0633\u0627\u062f\u06c1 \u0633\u06cc \u0645\u062b\u0627\u0644<\/h4>\n
        \u062f\u0631\u062c \u0630\u06cc\u0644 \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u06cc \u0627\u0642\u062f\u0627\u0631 \u067e\u0631 \u063a\u0648\u0631 \u06a9\u0631\u06cc\u06ba:<\/p>\n
        $$\u0628\u0627\u0626\u06cc\u06ba[ 5, 8, 10, 12, 15, 18, 20 right]$$<\/p>\n
        \u0645\u0631\u062d\u0644\u06c1 1: \u0645\u06cc\u0688\u06cc\u0646 \u062a\u0644\u0627\u0634 \u06a9\u0631\u06cc\u06ba (Q2):<\/h4>\n
        \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u0642\u062f\u0631\u06cc\u06ba \u06c1\u06cc\u06ba:<\/p>\n
        $$Q_2 = 12$$<\/p>\n
        \u0645\u0631\u062d\u0644\u06c1 2: Q1 \u062a\u0644\u0627\u0634 \u06a9\u0631\u06cc\u06ba (\u0646\u0686\u0644\u0627 \u0686\u0648\u062a\u06be\u0627\u0626\u06cc):<\/h4>\n
        \u0646\u0686\u0644\u0627 \u0646\u0635\u0641 [5, 8, 10]. \u0646\u0686\u0644\u06d2 \u0646\u0635\u0641 \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u062d\u0635\u06d2 \u06c1\u06cc\u06ba:<\/p>\n
        $$Q_1 = 8$$<\/p>\n
        \u0645\u0631\u062d\u0644\u06c1 3: Q3 \u062a\u0644\u0627\u0634 \u06a9\u0631\u06cc\u06ba (\u0679\u0627\u067e \u06a9\u0648\u0627\u0631\u0679\u0627\u0626\u0644):<\/h4>\n
        \u067e\u06c1\u0644\u0627 \u0646\u0635\u0641 [15, 18, 20]. \u0627\u0648\u067e\u0631\u06cc \u0646\u0635\u0641 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0645\u06cc\u0688\u06cc\u0646 \u06c1\u06cc\u06ba:<\/p>\n
        $$Q_3 = 18$$<\/p>\n
        \u0645\u0631\u062d\u0644\u06c1 4: IQR \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u0626\u06cc\u06ba:<\/h4>\n
        $$IQR = Q_3 – Q_1 = 18 – 8 = 10$$<\/p>\n
        \u0645\u0631\u062d\u0644\u06c1 5: \u0628\u0627\u06c1\u0631 \u06a9\u06cc \u062d\u062f\u0648\u062f \u062a\u0644\u0627\u0634 \u06a9\u0631\u06cc\u06ba:<\/h4>\n
        $$begin{aligned} text{lower bound} &= Q_1 – 1.5 times IQR = 8 – 15 = -7  text{upper bound} &= Q_3 + 1.5 times IQR = 18 + 15 = 33 end{aligned}$$<\/p>\n
        \u062a\u0645\u0627\u0645 \u0627\u0642\u062f\u0627\u0631 -7 \u06cc\u0627 \u0627\u0633 \u0633\u06d2 \u06a9\u0645 \u06cc\u0627 33 \u06cc\u0627 \u0627\u0633 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1<\/strong> \u06cc\u06c1 \u0627\u06cc\u06a9 \u0622\u0624\u0679 \u0644\u06cc\u0626\u0631 \u06c1\u06d2 (\u0644\u06cc\u06a9\u0646 \u0627\u0633 \u0688\u06cc\u0645\u0648 \u0645\u0633\u0626\u0644\u06c1 \u0645\u06cc\u06ba\u060c \u0622\u0624\u0679 \u0644\u06cc\u0631\u0632 \u0645\u0648\u062c\u0648\u062f \u0646\u06c1\u06cc\u06ba \u06c1\u06cc\u06ba)\u06d4<\/p>\n
        \u0688\u06cc\u0679\u0627 \u0633\u06cc\u0679 \u067e\u0631 IQR \u0644\u0627\u06af\u0648 \u06a9\u0631\u06cc\u06ba\u06d4<\/strong><\/h2>\n
        \u0631\u06cc\u0679\u06cc\u0644 \u0688\u06cc\u0679\u0627\u0633\u06cc\u0679 \u0645\u06cc\u06ba \u0635\u0627\u0641 \u0627\u0642\u062f\u0627\u0631 \u06a9\u06cc \u0628\u062c\u0627\u0626\u06d2 \u0628\u0691\u06cc \u0642\u062f\u0631\u06cc\u06ba \u0627\u0648\u0631 \u0645\u0646\u0641\u06cc \u0648\u0627\u067e\u0633\u06cc \u06c1\u0648\u062a\u06cc \u06c1\u06d2\u06d4<\/p>\n
        # 1. Calculate IQR and Bounds\nQ1 = df['TotalPrice'].quantile(0.25)\nQ3 = df['TotalPrice'].quantile(0.75)\nIQR = Q3 - Q1\n\nlower_bound = Q1 - 1.5 * IQR\nupper_bound = Q3 + 1.5 * IQR\n<\/code><\/pre>\n
        \u0627\u06af\u0631 \u06c1\u0645 \u0627\u067e\u0646\u06d2 \u0688\u06cc\u0679\u0627\u0633\u06cc\u0679 \u06a9\u06d2 \u0644\u06cc\u06d2 IQR \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u062a\u0648 \u06c1\u0645\u06cc\u06ba \u0645\u0644\u062a\u0627 \u06c1\u06d2:<\/p>\n
        Lower Bound: -18.75\nUpper Bound: 42.45\nNumber of Outliers: 33180\n<\/code><\/pre>\n
        \"\u0627\u0639\u062f\u0627\u062f<\/p>\n
        \u06af\u0631\u0627\u0641 \u0622\u0624\u0679 \u0644\u06cc\u0631\u0632 \u06a9\u0648 \u062f\u06a9\u06be\u0627\u062a\u0627 \u06c1\u06d2\u060c \u062c\u0648 \u06a9\u06c1 -18.75 \u0633\u06d2 42.45 \u06a9\u06cc \u062d\u062f \u0633\u06d2 \u0628\u0627\u06c1\u0631 \u06a9\u06cc \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u0642\u062f\u0631\u06cc\u06ba \u06c1\u06cc\u06ba\u06d4 (\u062a\u0635\u0627\u0648\u06cc\u0631 \u0645\u0635\u0646\u0641 \u06a9\u06cc \u0637\u0631\u0641 \u0633\u06d2)<\/p>\n
        \u062c\u06cc\u0633\u0627 \u06a9\u06c1 \u0622\u067e \u06af\u0631\u0627\u0641 \u0633\u06d2 \u062f\u06cc\u06a9\u06be \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u060c -18.75 \u0633\u06d2 42.45 \u06a9\u06cc \u062d\u062f \u0633\u06d2 \u0628\u0627\u06c1\u0631 \u06a9\u06cc \u0642\u062f\u0631\u0648\u06ba \u06a9\u0648 \u0628\u0627\u06c1\u0631 \u0633\u0645\u062c\u06be\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0633 \u0642\u062f\u0631 \u06a9\u0648 \u06c1\u0679\u0627 \u062f\u06cc\u0627 \u062c\u0627\u0626\u06d2 \u06af\u0627\u06d4<\/p>\n
        \u0622\u0624\u0679 \u0644\u06cc\u0631\u0632 \u06a9\u0648 \u06c1\u0679\u0627\u0646\u06d2 \u06a9\u06d2 \u0628\u0639\u062f \u0627\u0648\u0633\u0637 \u067e\u0631 \u062f\u0648\u0628\u0627\u0631\u06c1 \u062c\u0627\u0626\u06cc\u06ba\u06d4<\/h3>\n
        \u06c1\u0645 \u0646\u06d2 \u0627\u0646\u062a\u06c1\u0627\u0626\u06cc \u0644\u06cc\u0646 \u062f\u06cc\u0646 \u06a9\u0648 \u062e\u062a\u0645 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 IQR \u0637\u0631\u06cc\u0642\u06c1 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u06cc\u0627 \u062c\u0648 \u06c1\u0645\u0627\u0631\u06cc \u0639\u0627\u0645 \u0627\u062e\u0631\u0627\u062c\u0627\u062a \u06a9\u06cc \u062d\u062f \u0633\u06d2 \u0628\u0627\u06c1\u0631 \u06c1\u06cc\u06ba\u06d4<\/p>\n
        # Clean and Feature Engineering\ndf = df.dropna(subset=['CustomerID'])\ndf['TotalPrice'] = df['Quantity'] * df['UnitPrice']\n\n# Original Mean\nmean_value = df['TotalPrice'].mean()\nprint(f\"Original Mean: {mean_value:.2f}\")\n\n# IQR Calculation\nQ1 = df['TotalPrice'].quantile(0.25)\nQ3 = df['TotalPrice'].quantile(0.75)\nIQR = Q3 - Q1\n\n# Define bounds\nlower_bound = Q1 - 1.5 * IQR\nupper_bound = Q3 + 1.5 * IQR\n\nprint(f\"Lower Bound: {lower_bound:.2f}\")\nprint(f\"Upper Bound: {upper_bound:.2f}\")\n\n# Remove Outliers\ndf_no_outliers = df[(df['TotalPrice'] >= lower_bound) & (df['TotalPrice'] <= upper_bound)]\n\n# New Mean after removing outliers\nnew_mean = df_no_outliers['TotalPrice'].mean()\nprint(f\"Mean after removing outliers: {new_mean:.2f}\")\n<\/code><\/pre>\n
        \u062f\u0648\u0628\u0627\u0631\u06c1 \u062d\u0633\u0627\u0628 \u06a9\u0631\u0646\u06d2 \u0633\u06d2 \u06c1\u0645\u06cc\u06ba \u0645\u0644\u062a\u0627 \u06c1\u06d2:<\/p>\n
        Original Mean: 20.40\nLower Bound: -18.75\nUpper Bound: 42.45\nMean after removing outliers: 11.63\n<\/code><\/pre>\n
        \"\u06af\u0631\u0627\u0641<\/p>\n
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          \n
        1. \n
          \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc<\/p>\n<\/li>\n
        2. \n
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[…]<\/p>\n","protected":false},"author":7,"featured_media":23572,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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