Question

If the mean and median of a given set of observations are 10 and 11 respectively, then the value of the mode is ______.

Options

• 10.5

• 8

• 13

• 21

Answer 1

If the mean and median of a given set of observations are 10 and 11 respectively, then the value of the mode is 13.

Explanation:

Given, mean = 10 and median = 11

We know that 

Mode = 3 Median − 2 Mean

= 3(11) − 2(10)

= 33 − 20

= 13

Hence, the mode of the data is 13.