after Settlement, the average weekly wages in a factory had increase from rs 8 to rs 12 and standard deviation had increased from rs 1 to 1.5 . the wages have become higher and more uniform, after Settlement. comment.
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Explanation:
According to the statement it is understood that the average weekly wages have increased from Rs.8 to Rs.12 i.e.,the total wages received per week by all the workers have increased. Therefore, after the settlement the weekly wage increased. In order to measure uniformity of the wages, the coefficient of the variation of the wages of the workers before and after the settlement has to be calculated , which is :
Coefficient of dispersion Before settlement = 1/8×100 =12.5%
Coefficient of dispersion After settlement = 1.5/12×100 =12.5%
Since, there is no change in the variability of the wages. Thus, the statement is not correct.
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