The arithmetic mean and mode of a data are 24 and 12 respectively, then its median is

Question

Philoid · Accepted Answer

We know that empirical relation between mean, median and mode is

Mode = 3 Median - 2 Mean

Given,

Mean = 24

Mode = 12

Putting values in the formula,

12 = 3 Median - 2(24)

⇒ 12 = 3 Median - 48

⇒ 3 Median = 60

⇒ Median = 20