Question

The mean and median of a distribution are 22.5 and 20 respectively. The mode is approximately .

• A. 20
• B. 12
• C. 15
• D. 5

Answer 1

The correct option is C 15

Given, mean = 22.5 and median = 20.
Assume mode = x.

Now, using the relationship between mean, median and mode, we get
(Mean – Mode) = 3 (Mean – Median)
22.5 – x = 3 (22.5 – 20)
22.5 – x = 7.5
∴ x = 15
So, Mode = 15.