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Measures Of Dispersion

Question
CBSEENST11024859

The number of employee, wages per employee and the variance of wages per employee for two factories are given below:

ltems

Factory A

Factory B

No of Employees

50

100

Average wages per employee (Rs.)

120

85

Variance of wages per day (Rs.)

9

16

(i) In which factory is there greater variation in the distribution of wage per employee?

(ii) Suppose in a factory B, the wages of an employee are wrongly noted as Rs. 120 instead of Rs. 100. What would be the corrected variance of factory B?

Solution

Calculation of Coefficient of variation in factory A:




There is greater variance in distribution of wages in factory B.

Correcting Mean and Variance in factory B: