If the coefficient of variation of two distribution are 50 ,60 and their arithmetic means are 30 and 25 respectively then the difference of their standard deviation is
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Correct Answer – A
Here `CV_(1)=50, CV_(2)=60, barx=30 ” and ” barx_(2)=25`
`therefore ” ” CV_(1)=(sigma_(1))/(barx_(1))xx100 rArr 50 =sigma_(1)/30xx100`
`sigma_(1)=(30xx50)/(100)=15 ” and ” CV_(2)=(sigma)^(2)/(barx_(2))xx100`
`rArr ” ” 60=((sigma)_(2))/25xx100`
`therefore ” ” sigma_(2)=(60xx25)/100=15`
`sigma_(1)-sigma_(2)=15-15=0`