Answer to Question #228734 in Statistics and Probability for suruchi

Question

After settlement, the average weekly wage in a factory had increased from Rs. 8 to 12 and standard deviation had increased from Rs. 1 to 1.5. The wages have become higher and more uniform, after settlement. Comment.

Answer 1

Coefficient of Variation $=$ $\left(\frac{Standard\:Deviation}{Mean}\right)\times 100\%$

Earlier Average weekly wages $=8$

Mean $=8$

Standard Deviation $=1$

Coefficient of Variation$=\left(\:\frac{1}{8}\right)\times 100\:\:=\:12.5\:\%$

After settlement, Average weekly wages = 12

Mean = 12

Standard Deviation = 1.5

Coefficient of Variation$=\left(\frac{1.5}{12}\right)\times 100\:\:=\:12.5\:\%$

$12>8$

Hence wages have become higher is Correct

Coefficient of Variation is same

Hence no impact on uniformity wages have become more uniform is not correct

Wages have become higher is Correct but more uniform is not correct