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A batsman is to be selected for a cricke...

A batsman is to be selected for a cricket team. The choice is between X and Y on the basis of their five previous scores which are:

Which batsman should be selected if we want,
(i) a higher run getter, or
(ii) a more reliable batsman in the team?

Text Solution

Verified by Experts

Estimation of Mean and CV

Batsman X: `" " barX=(sumX)/(N)=(350)/(5)=70`
`(sigma_(x))=sqrt((sumx^(2))/(N))=sqrt((5.750)/(5))=sqrt(1,150)=33.91`
and `" " CV_(x)=(sigma)/(N)xx100=(33.91)/(70)xx100=48.44`
Batsman Y: `" "barY-(sumY)/(N)=(310)/(5)=62`
`sigma_(y)=sqrt((sumy^(2))/(N))=sqrt((830)/(5))=sqrt(166)=12.88`
and `" " CV_(y)=(sigma)/(y)xx100=(12.88)/(62)xx100=20.77`
Because average score of X is more than that of Y, we conclude that X is a higher run getter. But batting of X shows greater CV than Y. Hence, Y is a more reliable batsman in the team.]
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