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2.   Consider the following distribution of daily wages of 50 workers of a factory.
2
Find the mean daily wages of the workers of the factory by using an appropriate method.

Answers (1)

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Let the assumed mean be a = 550

Daily 

Wages   

Number of

workers f_i

Class mark

x_i

d_i = x_i -a f_id_i
500-520 12 510 -40 -480
520-540 14 530 -20 -280
540-560 8 550 0 0
560-580 6 570 20 120
580-600 10 590 40 400
 

\sum f_i 

=50

   

\sum f_ix_i

=-240

Mean, 

\overline x =a + \frac{\sum f_id_i}{\sum f_i}
= 550 + \frac{-240}{50} = 550-4.8 = 545.20
Therefore, the mean daily wages of the workers of the factory is Rs. 545.20

Posted by

HARSH KANKARIA

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