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.