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

Salary (in Rs.)No. of Workers
300016
400012
500010
60008
70006
80004
90003
100001
Total60


Answer :

We know that,
Mean
= \(\frac{\sum {f_i x_i}}{\sum {f_i}}\)

The value of \(\sum {f_i x_i}\) and \(\sum {f_i}\) can be calculated as follows:

Salary (in Rs.) \(\left(x_{i}\right)\)No. of Workers \(\left(f_{i}\right)\)\(\left(f_{i}\right)\left(x_{i}\right)\)
3000163000 × 16 = 48000
4000124000 × 12 = 48000
5000105000 × 10 = 50000
600086000 × 8 = 48000
700067000 × 6 = 42000
800048000 × 4 = 32000
900039000 × 3 = 27000
10000110000 × 1 = 10000
Total\(\sum {f_i} = 60\)\(\sum {f_i x_i} = 305000\)

Mean salary
= \(\frac{305000}{60}\)
\(= 5083.33\)

Therefore, mean salary of 60 workers is Rs. 5083.33

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