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
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