Question

If the mean and median of a data are 10 and 11 respectively, then mode of the data is ______.

Options

• 12

• 8

• 20

• 13

Answer 1

If the mean and median of a data are 10 and 11, respectively, then mode of the data is 13.

Given, mean = 10 and median = 11

We know that 

Mode = 3 Median − 2 Mean

= 3(11) − 2(10)

= 33 − 20

= 13

Hence, mode of the data is 13.