in factory the coefficient of variations of wages of urban and rural workers are 52%and 66% respectively and their standard deviation are 2640 respectively if 60% of the workers are urban. what is the overall average( in rs) of the workers
Answers
Given : in factory the coefficient of variations of wages of urban and rural workers are 52%and 66% respectively and their standard deviation are 26 , 40 respectively
60% of the workers are urban.
To Find : overall average( in rs) of the workers
Solution:
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Mean of urban = a
Mean of rural = b
Coefficient of Variation = (Standard deviation /Mean) * 100 %
urban
=> 52 = ( 26 / a) * 100
=> a = 50
rural
66 = ( 40 / b) * 100
=> b = 2000/33
60% of the workers are urban
40 % of the workers are rural
=> overall average( in rs) of the workers = 50 * 0.6 + (2000/33)*0.4
= 30 + 24.24
= 54.24
overall average( in rs) of the workers = 54.24
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