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Coefficients of variation of two distrib...

Coefficients of variation of two distributions are 50 and 60, and their arithmetic means are 30 and 25, respectively. Difference of their standard deviations is

A

0

B

1

C

1.5

D

2.5

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `(CV)_(1)=50,(CV)_(2)=60,overline(x_(1))=30 " and" overline(x_(2))=25`
` therefore (CV)_(1)=(sigma_(1))/(overline(x_(1)))xx100`
`implies 50=(sigma_(1))/(30)xx100`
`therefore sigma_(1)=(30xx50)/(100)=15`
and `CV_(2)=(sigma_(2))/(overline(x_(2)))xx100`
`implies 60=(sigma_(2))/(25)xx100`
`therefore sigma_(2)=(60xx25)/(100)=15`
Now, `sigma_(1)-sigma_(2)=15-15=0`
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