Question

Iin a factory th coefficient of variation of the wages of urban and rural workers are 52% and 66% respectively and their standard deviations are 2600 and 2640 respectively.if 60% of the workers are urban, what is the overall average wage of the workers?​

Answer 1

Answer:

4600 it's a correct answer

Answer 2

Given : in factory the coefficient of variations of wages of urban and rural workers are 52%and 66% respectively and their standard deviation are 2600 and 2640 respectively

60% of the workers are urban.

To Find :  overall average( in rs) of the workers​

Solution:

Mean of urban  = a

Mean of rural  =  b

Coefficient of Variation = (Standard deviation /Mean) * 100 %

urban

=> 52 = ( 2600/a ) * 100

=> a = 5000

rural  

66 = ( 2640 / b) * 100

=> b = 4000

60% of the workers are urban

40 %  of the workers are rural

=> overall average( in rs) of the workers​  =  5000 * 0.6  + 4000*0.4

= 3000 + 1600

= 4600

overall average( in rs) of the workers​ = 4600

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