Question

If the difference of mode and median of a data is 24. Find the difference of median and
mean.​

Answer 1

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$\large \underline \bold{Given}$:-

$\: \: \: \: \: \: \: \: \: \:$$\sf{(mode \: - \: median) \: = \: 24}$

$\large \underline \bold{Solution}$:-

As We know -

$\large\boxed{\sf\pink{mode \: = \: 3(median) - 2(mean)}}$

$\: \: \: \: \: \: \: \: \: \:$$\sf{mode \: = \: median + 2(median) - 2(mean)}$

$\sf{mode \: - \: median \: = \: 2(median) \: - \: 2(mean)}$

$\: \:$On Using the giving eq. -

$\: \: \: \: \: \: \: \: \: \: \: \:$$\sf{24 \: = \: 2(median \: - \: mean)}$

$\: \: \: \: \: \: \: \: \: \: \:$$\sf{2(median \: - \: mean) \: = \: 24}$

$\large \bold{(median \: - \: mean) \: = \: 12}$

So , the difference of median and

ㅤㅤmean is 12.

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