For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.

Question

Philoid · Accepted Answer

Given: mode = 1000 and median = 1250

The empirical relationship between mean, median and mode is,

Mode = 3(Median) – 2(Mean)

⇒ 2(Mean) = 3(Median) – Mode

⇒ Mean = [3(Median) – Mode]/2

⇒ Mean = [3(1250) – 1000]/2

⇒ Mean = [3750 – 1000]/2 = 2750/2 = 1375

∴ mean = 1375