# Find the mean salary of 60 workers of a factory from the following table:Salary (in Rs.)Number of workers30001640001250001060008700068000490003100001Total60"

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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.

Updated on 10-Oct-2022 13:47:38