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Question
Find the mean salary of 60 workers of a factory from the following table:-
| Salary (in Rs) | Number of workers |
| 3000 | 16 |
| 4000 | 12 |
| 5000 | 10 |
| 6000 | 8 |
| 7000 | 6 |
| 8000 | 4 |
| 9000 | 3 |
| 10000 | 1 |
| Total | 60 |
Solution
We know that
`"Mean "=(sumf_ix_i)/(sumf_i)`
`"The value of "sumf_ix_i" and "sumf_i" can be calculated as follows."`
| Salary (in Rs) (xi) | Number of workers (fi) | fixi |
| 3000 | 16 | 3000 × 16 = 48000 |
| 4000 | 12 | 4000 × 12 = 48000 |
| 5000 | 10 | 5000 × 10 = 50000 |
| 6000 | 8 | 6000 × 8 = 48000 |
| 7000 | 6 | 7000 × 6 = 42000 |
| 8000 | 4 | 8000 × 4 = 32000 |
| 9000 | 3 | 9000 × 3 = 27000 |
| 10000 | 1 | 10000 × 1 = 10000 |
| Total | sumf_i=60 | sumf_ix_i=305000 |
`"Mean salary "=305000/60=5083.33`
Therefore, mean salary of 60 workers is Rs 5083.33.
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