3(a) 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.
3(b) Calculate the Karl Pearson’s coefficient of correlation from the following pairs of
values and interpret the result:
Values of X 12 9 8 10 11 13 7
Values of Y 14 8 6 9 11 12 3
Q.3 (c) Distinguish between correlation and regression.
(d) The two regression coefficients are -2.7 and -0.3 and the coefficient of correlation is
0.90.
Answers
Given : 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.
To find : Authenticity of statement : wages have become higher and more uniform, after settlement.
Solution:
Answering 1st Question . Post one by one
Coefficient of Variation = (Standard deviation /Mean) * 100 %
Earlier Average weekly wages = 8
Mean = 8
Standard Deviation = 1
Coefficient of Variation = (1/8)*100 = 12.5 %
After settlement, Average weekly wages = 12
Mean = 12
Standard Deviation = 1.5
Coefficient of Variation = (1.5/12)*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
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Answer:
3(a) 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.