If the mean and mode of a frequency distribution be 53.4 and 55.2 respectively, find the median.

Question

Philoid · Accepted Answer

Given: mean = 53.4 and mode = 55.2

We have to find the median.

By empirical formula,

Mode = 3(Median) – 2(Mean)

⇒ 3(Median) = Mode + 2(Mean)

⇒ Median = [Mode + 2(Mean)]/3

⇒ Median = [55.2 + 2(53.4)]/3

⇒ Median = [55.2 + 106.8]/3

⇒ Median = 162/3 = 54

∴ Median = 54