Question:
The weights (in kg) of 50 wrestlers are recorded in the following table.
Find the mean weight of the wrestlers.
Solution:
We first find the class mark of each class and then proceed as follows
$\therefore$ Assumed mean $(a)=125$,
Class width $(h)=10$ and total observation $(N)=50$
By assumed mean method.
Mean $(\bar{x})=a+\frac{\Sigma f_{j} d_{i}}{\Sigma f_{i}}$
$=125+\frac{(-80)}{50}$
$=125-1.6-123.4 \mathrm{~kg}$