For a certain frequency distribution the values of Median and Mode is 95.75 and 95.5 respectively, find the mean.

Solution:

Median = 95.75, Mode = 95.5 [Given]

We know that,

Mean – Mode = 3 (Mean – Median)

∴  Mean – 95.5 = 3 (Mean – 95.75)

∴  Mean – 95.5 = 3 Mean – 287.25

∴  – 95.5 – 287.25= 3 Mean – Mean

∴  191.75 = 2 Mean

∴ Mean = 191.75/2

∴ Mean = 95.875