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If the Difference of Mode and Median of a Data is 24, Then the Difference of Median and Mean is - Mathematics

MCQ

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

Options

  • 12

  • 24

  • 8

  • 36

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Solution

Given: Mode − Median = 24

We know that

Mode = 3Median − 2Mean

Now,

Mode − Median = 2(Median − Mean)

⇒ 24 = 2(Median − Mean)

⇒ Median − Mean = 12

Hence, the correct option is (a).

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Q 28 | Page 68
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