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Mathematics

If the difference between the mode and median of a certain data is 24, then the difference between median and mean is :

  1. 8

  2. 12

  3. 24

  4. 36

Measures of Central Tendency

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Answer

Given,

Mode - Median = 24

Mode = 24 + Median

By formula,

Mode = 3 Median - 2 Mean

⇒ 24 + Median = 3 Median - 2 Mean

⇒ 3 Median - Median - 2 Mean = 24

⇒ 2 Median - 2 Mean = 24

⇒ 2 (Median - Mean) = 24

⇒ Median - Mean = 242\dfrac{24}{2}

⇒ Median - Mean = 12.

Hence, Option 2 is the correct option.

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