Question:
Find the mean of the following frequency distribution, using step-deviation method:

Solution:
The following frequency distribution is given

We have to find the mean of the above frequency distribution using step deviation method.
By using step deviation method, we have ![]()

From the above distribution, we have
$h=10$
$a=25$
$\sum f_{i}=50$
$\sum f_{i} u_{i}=0$
We know the mean of a given distribution is given by
$\operatorname{Mean}(\bar{x})=a+\frac{\sum f_{t} u_{i}}{\sum f_{i}} \times h$
$=25+\frac{0}{50} \times 10$
$=25$
Hence the mean of the given distribution is 25.