I have written member of 50 families of our village in the table given below.

Let us write the average member of 50 families by the method of assumed mean.

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 x_i’s.

Here, d_i is the deviation from the mean.

Using x_i’s and A, we have found d_i and further have found out f_id_i.

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.