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If the difference of the mode and median of a data is 38, then the difference of the median and mean is: -

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Question

If the difference of the mode and median of a data is 38, then the difference of the median and mean is:

Options

  • 18

  • 19

  • 24

  • 22

MCQ

Solution

19

Explanation:

Mode – Median = 38  

⇒ Mode = Median + 38  ......(i)

From formula, Mode = 3 Median – 2 Mean  ......(ii)

From (i) and (ii),

Median + 38 = 3 Median – 2 Mean

⇒ 3 Median – 2 Mean - Median = 38

⇒ 2 (Median – Mean) = 38

⇒ Median – Mean

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Statistics (Entrance Exam)
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