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# 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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