Q21 of 145 Page 410

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

Given: mean = 28 and mode = 16


By empirical formula,


mode = (3 × median) – (2 × mean)


⇒ 3 × median = mode + (2 × mean)


⇒ 3 × median = 16 + (2 × 28)


⇒ 3 × median = 16 + 56


⇒ 3 × median = 72


⇒ median = 72/3 = 24

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Class interval



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