Q. 5    Find the mean salary of 60 workers of a factory from the following table:

           

Answers (1)
Salary ( in Rs)(xi) Number of workers(fi) fixi
3000 16 48000
4000 12 48000
5000 10 50000
6000 8 48000
7000 6 42000
8000 4 32000
9000 3 27000
10000 1 10000
Total \sum_{i=1}^{8}f_{i}=60 \sum_{i=1}^{8}f_{i}x_{i}=305000

 

The mean of the above data is given by

\\\bar{X}=\frac{\sum_{i=1}^{8}f_{i}x_{i}}{\sum_{i=1}^{8}f_{i}}\\ \bar{X}=\frac{305000}{60}\\ \bar{X}=5083.33

The mean salary of the workers working in the factory is Rs 5083.33

 

 

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