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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

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