Question

The empirical relation between mean, mode and median is

A. Mode = 3 Median – 2 Mean

B. Mode = 2 Median – 3 Mean

C. Median = 3 Mode – 2 Mean

D. Mean = 3 Median – 2 Mode

Answer 1

This is an approximate relation that holds when the distribution is symmetrical or moderately skewed. It does not hold when the distribution is too skewed. When the distribution is symmetric, this relation holds exactly because in that case, mean = median = mode