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

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