Answer :

Since arithmetic mean is also called average or average value, we need to find the average.

So, we need to create a table showing the frequency.



Observe that, we have taken assumed mean as 4. Assumed mean is a mid-value usually from the xi’s.


Here, di is the deviation from the mean.


Using xi’s and A, we have found di and further have found out fidi.


We have the following formula to calculate arithmetic mean using assumed-mean method,



Substituting all the values from the table into the formula, we get





Mean = 4.24


Thus, the average members of 50 families is 4.24.

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