Question

The mean and median of a statistical data are 21 and 23 respectively. The mode of the data is ______.

Options

• 27

• 22

• 17

• 23

Answer 1

The mean and median of a statistical data are 21 and 23 respectively. The mode of the data is 27.

Explanation:

Given that,

Mean = 21

Median = 23

Using empirical relation,

Mode = 3Median − 2Mean

Mode = 3 × 23 − 2 × 21

Mode = 69 − 42

∴ Mode = 27