Question

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

X	25	85	40	80	120
Y	50	70	65	45	80

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

Answer 1

Batsman X
X	X – = x X – 70	x2
25	– 45	2025
85	+ 15	225
	– 30	900
80	10	100
120	50	2500

Batsman Y
Y		y2
50	– 12	144
70	8	64
65	3	9
45	– 17	289
80	18	324

(i) Average of Batsman X is higher than that of Batsman Y, so he should be selected if we want to score higher run.

(ii) The Batsman X is more reliable than Batsman Y. This is because the coefficient of variation of Batsman X is higher than that of Batsman Y.