Question

The relation between mean, mode and median is ______.

Options

• mode = (3 × mean) – (2 × median)

• mode = (3 × median) – (2 × mean)

• median = (3 × mean) – (2 × mode)

• mean = (3 × median) – (2 × mode)

Answer 1

The relation between mean, mode and median is mode = (3 × median) – (2 × mean).

Explanation:

Pearson’s empirical relation for skewness gives (Mean – Mode) ≈ 3(Mean – Median). 

Rearranging: Mean – Mode = 3Mean – 3Median

⇒ Mode = 3Median – 2Mean.