Question

The runs scored by two batsmen A and B in six innings are given as follows:

Batsman A	48	50	54	46	48	54
Batsman B	46	44	43	46	45	46

Determine (i) Who is a better run getter? (ii) Who is a consistent player?

Answer 1

Table of calculation
Batsman A
Runs Scored X	Deviation	D2
48	–2	4
50	0	0
54	4	16
46	–4	16
48	–2	4
54	4	16
= 300		=56

Batsman B
Runs Scored X	Deviation	D2
46	1	1
44	–1	1
43	–2	4
46	1	1
45	0	0
46	1	1
= 270		= 8

Batsman A:

Total number of innings, N = 6

(i) Mean = = = 50

(ii) Variance = = = 9.33

(iii)

Batsman B:

Total number of innings, N = 6

(i) Mean = =

(ii) Variance = = = 1.33

(iii)

The mean score of batsman A is greater than that of batsman B.

Hence, batsman A is a better run-getter.

The coefficient of variation for batsman B is less than that for batsman A.

Hence, batsman B is more consistent.