Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.

Median(given) = 24, Assume

Σfi = N = Sum of frequencies,

h = length of median class,

l = lower boundary of the median class,

f = frequency of median class

and Cf = cumulative frequency

Lets form a table, where x is the unknown frequency.

Median = 24 (as already mentioned in the question)

24 lies between 20 - 30 Median class = 20 - 30

l = 20, h = 10, f = x, N/2 = (55 + x)/2 and Cf = 30

Median is given by,

24 – 20 = (10x – 50)/2x

(4)(2x) = 10x – 50

8x = 10x – 50

10x – 8x = 50

2x = 50

x = 25

Thus, the unknown frequency is 25.

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