Find the mean salary of 60 workers of a factory from the following table:
Salary (in Rs.)Number of workers
300016
400012
500010
60008
70006
80004
90003
100001
Total60
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AcademicMathematicsNCERTClass 9

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($f_i$)$f_ix_i$
300016$3000\times16=48000$
400012$4000\times12=48000$
500010$5000\times10=50000$
60008$6000\times8=48000$
70006$7000\times6=42000$
80004$8000\times4=32000$
90003$9000\times3=27000$
100001$10000\times1=10000$
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.

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

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