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