Consider the following distribution of daily wages of 50 workers of a factory.

Daily wages (in Rs).	100-120	120-140	140-160	160-180	180-200
Number of workers:	12	14	8	6	10

Find the mean daily wages of the workers of the factory by using an appropriate method.

Given:

Daily wages of 50 workers of a factory.

To do:

We have to find the mean daily wages of the workers of the factory.

Solution:

Let the assumed mean be $A=150$

 We know that, Mean $=A+h \times \frac{\sum{f_iu_i}}{\sum{f_i}}$    

Therefore,  

Mean $=150+20\times\frac{-12}{50}$

$=150-\frac{24}{5}$

$=150-4.8$

$=145.2$

The mean daily wages of the workers of the factory is $Rs.\ 145.20$.

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Updated on: 10-Oct-2022

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