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?

 

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.

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