# In a statistical data, the difference between mode and mean is k times the difference between median and mean, then what is the value of k?

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In a statistical data, the difference between mode and mean is k times the difference between median and mean, then what is the value of k?

A. 4

B. 3

C. 2

D. 1

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Correct option is (B) 3

Mode - Mean  = k (Median - Mean)

Mode = Mean + K.Median - K.Mean

Mode = K.Median + (1 - K)Mean

We know formula

Mode = 3 Median - 2 Mean

Keeping both equation equal

K.Meadian + (1 - K) Mean = 3 Median - 2 Mean

On Comparing coeficient

Median, K = 3

Mean,  (1 - K) = -2

$\therefore$ K = 3