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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 |
Given:
The mean salary of 60 workers of a factory.
To do:
We have to find the mean salary of 60 workers.
Solution:
We know that,
$\bar{x}=\frac{\sum{f_ix_i}}{\sum{x_i}}$
Salary($x_i$) | Number of workers($f_i$) | $f_ix_i$ |
3000 | 16 | $3000\times16=48000$ |
4000 | 12 | $4000\times12=48000$ |
5000 | 10 | $5000\times10=50000$ |
6000 | 8 | $6000\times8=48000$ |
7000 | 6 | $7000\times6=42000$ |
8000 | 4 | $8000\times4=32000$ |
9000 | 3 | $9000\times3=27000$ |
10000 | 1 | $10000\times1=10000$ |
Total | $\sum{f_i}=60$ | $\sum{f_ix_i}=305000$ |
Therefore,
The mean salary of 60 workers $=\frac{\sum{f_ix_i}}{\sum{x_i}}$
$=\frac{305000}{60}$
$=Rs.\ 5083.33$
Hence, the mean salary of 60 workers is Rs. 5083.33.
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