If the difference of Mode and Median of a data is $24$ , then the difference of Median and Mean is

12

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24

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8

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36

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Solution

The correct option is B $12$
We have,
$M o d e = 3 M e d i a n - 2 M e a n$
$\Rightarrow M o d e - M e d i a n = 2 (M e d i a n - M e a n)$
$\Rightarrow 24 = 2 (M e d i a n - M e a n) \Rightarrow M e d i a n - M o d e = 12$

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_{^{If the difference of mode and median of a data is 24, then the difference of median and mean is?}}

M o d e = 3 M e d i a n - 2 M e a n

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