If the difference between mean and mode is \( 63 \), the difference between mean and median is

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If the difference between mean and mode is \( 63 \), the difference between mean and median is

MathematicsStatisticsJEE Main

Options:

A \( 189 \)
B \( 21 \)
C \( 31.5 \)
D \( 48.5 \)

Solution:

2979 Upvotes Verified Answer

The correct answer is: \( 21 \)

By the result

Mode = $3$ Median $- 2$ mean
$\Rightarrow$ Mean $-$ mode = $3 ($ mean $-$ median $)$

$\Rightarrow 63 = 3 ($ mean $-$ median $)$

i.e. mean $-$ median $= 21$

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