Q. 73.9( 31 Votes )

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

Answer :

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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