Question

The mean and mode of a frequency distribution are 28 and 16 respectively. The median is

(a) 22 (b) 23.5 (c) 24 (d) 24.5

Answer 1

(c) 24

Mode = (3 × median) – (2 × mean)

⇒ (3 × median) = (mode + 2 mean)

⇒ (3 × median) = 16 + 56

⇒ (3 × median) = 72

⇒ Median = 72/3

∴ Median = 24