Answer :

We have been given the arithmetic mean of the data, that is, 20.6.

⇒ Mean = 20.6


To find the value of a, we need to simply find mean using direct method.


So, let’s make a table showing frequencies and fixi.



So, we get


∑fixi = 530 + 25a


∑fi = 50


Using direct method, we have the formula of arithmetic mean as follows:



[ Mean = 20.6, ∑fixi = 530 + 25a & ∑fi = 50]


1030 = 530 + 25a


25a = 1030 – 530


25a = 500



a = 20


Thus, a = 20.

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