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Question

The mean of the following frequency distribution is 62.8 and the sum of all the frequencies is 50. Compute the missing frequency f1 and f2.
Class: 0−20 20−40 40−60 60−80 80−100 100−120
Frequency: 5 f1 10 f2 7 9

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Solution

It is given that mean = 62.8 and .

Let the assumed mean A = 50 and h = 20.


.....(1)

We know that mean,

Now, we have , , .

Putting the values in the above formula, we have

.....(2)

Putting the value of in (2), we get


Putting the value of in (1), we get

Hence, the missing frequency f1 = 8 and f2 = 12.


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