Question

If the mean and mode of a data are 12 and 21 respectively, then its median is ______.

Options

• 6

• 13.5

• 15

• 14

Answer 1

If the mean and mode of a data are 12 and 21 respectively, then its median is 15.

Explanation:

Given: Mean = 12

Mode = 21

Mode = 3 Median − 2 Mean

21 = 3 M − 2(12)

21 = 3 M − 24

21 + 24 = 3 M

45 = 3 M

M = `45/3`

M = 15