find out which of the following batsmen is more consistent in scoring. batsman a 5 7 16 27 39 53 56 61 80 101 105 batsman b 0 4 16 21 41 43 57 78 83 93 95 full solution
Answers
Answer:
ANSWER
Batsman A
x d=x−
x
ˉ
d
2
18 −16 256
33 −1 1
34
0 0
38 4 16
47 13 169
170 0 442
Now
x
ˉ
=
5
170
=34
σ=
n
∑d
2
=
5
442
=
88.4
≃9.4
Coefficient of variation, C.V=
x
ˉ
σ
×100
=
34
9.4
×100
=
34
940
=27.65
∴ The coefficient of variation for the runs scored by batsman A is 27.65 ............(1)
Batsman B
x d=x−
x
ˉ
d
2
27 −8 64
35 0 0
35
$$0$4 0
37 2 4
41 6 36
175 0 104
x
ˉ
=
5
175
=35
σ=
n
∑d
2
=
5
104
=
20.8
≃4.6
Coefficient of variation
=
x
ˉ
σ
×100
=
35
4.6
×100
=
35
460
=
7
92
=13.14
∴ The coefficient of varaition for the runs scored by batsman B is =13.14 ...........(2)
From (1) and (2), the coefficient of variation for B is less than the coefficient of variation for A.
∴ Batsman B is more consistent than the batsman A in scoring the runs.
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Answer:
batsman a= 5+7+16+27+39+53+56+61+80+101+105=570
batsman b=
4+16+21+41+43+57+78+83+93+95=531
therefore batsman a is more consistent in scoring
therefore the full solution =570+531=1101
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