Batsmen X and Y score following runs in different innings they played in a test series. Which of the two is a better scorer? Who is more consistent?

Explanation

In order to determine which of the two is a better scorer, we should compare average runs scored by two bastmen in different innings. And, in order to determine consistency of batting we should compare CV of the runs scored by the batsmen in different series.

Batsmen X: `barX=(sumX)/(N)=(500)/(10)=50`
`sigma_(X)=sqrt((sumx^(2))/(N))=sqrt((17,498)/(10))=sqrt(1,749.8)=41.83`
and `" " CV_(X)=(sigma)/(barX)xx100=(41.83)/(50)xx100=83.66`
Batsmen Y: `barY=(sumY)/(N)=(330)/(10)=33`
`sigma_(Y)=sqrt((sumY^(2))/(N))=sqrt((5,462)/(10))=sqrt(546.2)=23.37`
and `" " CV_(Y)=(sigma)/(barX)xx100`
`=(23.37)/(33)xx100=70.82`
Since average score of X is more than that of Y, we conclude that X is a better batsmen. But batting of X shows greater CV than Y. Hence, Y is relatively more consistent in batting than X.