Q25 of 141 Page 8

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

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