Question:
The following table gives the number of children of 150 families in a village
Find the average number of children per family
Solution:
Let the assume mean be $A=3$.
We know that mean, $\bar{X}=A+\frac{1}{N} \sum_{i=1}^{n} f_{i} d_{i}$
Now, we have $N=\sum f_{i}=150, \sum f_{i} d_{i}=-98$ and $A=3$
Putting the values above in formula, we get
$\bar{X}=A+\frac{1}{N} \sum_{i=1}^{n} f_{i} d_{i}$
$=3+\frac{1}{150} \times(-98)$
$=3-0.653$
$=2.347$
$\approx 2.35$ ( approximate)
Hence, the average number of children per family is 2.35.