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8/8/2019 Batsmans Consistency Recovered)
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STATISTICS FOR
MANAGEMENT
Term paper on
Consistency of
batsman
BY:
Dilip Kumar
M. N. (10310)
Gangu Siva Kumar
(10312)
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Guru Charan
Taneeru (10314)
Manoj Kumar
Singh (10327)
Mylavarapu
Srikanth (10333)
Soujanya kanagala (10345)
CONTENTS
OBJECTIVE
INTRODUCTION
COLLECTION AND RECORDING OF DATA
TABLES OF COMPARISIONS
ANALYSIS AND INTERPRETATION OF DATA
CONCLUSION
BIBILIOGRAPHY
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OBJECTIVE
Cricket is the second most popular sport in the world. It has huge amounts of fans around
the world and over 100 countries are member of the ICC (International Cricket Council) in
Dubai. Cricket, now termed as the unofficial national sport of India, has got an old history
associated with its existence in the country. The oldest references to the sport in India can be
dated as early as the year 1725 when some sailors played a friendly match at a seaport in Kutch.
This report gives deep insights about the consistency of batsmens, how the data is collected,
recorded and various statistical tools are used to analyze the data collected and thereby
interpreted in order to measure the consistency of a Batsman.
The main objective of this study is two-fold. First is to study the performance of a
batsman until now and second is to measure the consistency of each batsman, comparing among
themselves. The data so collected is analyzed using statistical tools like averages, mean,
standard deviation and coefficient of variance.
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INTRODUCTION
The study is done in order to observe and compare consistency of in the batting of Indian
cricketers.
It is mainly done in order to know the fluctuations in their batting performance and
comparing the consistency among themselves.
Data of latest batting performance has been taken and thereby has been tabulated for
analyzing individual performances.
Statistical tools like averages, means, standard deviation and coefficient of variance are
used to serve this purpose.
The result thus obtained has been interpreted though graphs to have better understanding.
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COLLECTION AND RECORDING OF DATA
For each batsman the last 25 matches in test and ODI have been considered.
The data thus obtained has been tabulated and calculation has been done.
The performances of 5 batsman namely Sachin Tendlkar, Rahul Dravid, Virender
Sehwag, MS Dhoni and Yuvraj Singh have been considered.
Formulae used are
Mean = Total no of runs/no of matches.
Batting average=( Total runs scored )/(No of matches played - No of run outs)
Standard deviation = Sqrt of the average of the squared distances of the
observations (runs) from the mean.
Coefficient of Variance = (Standard deviation/Batting average)*100
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Sachin performance in OneDayInternational cricket matches:S.NO DATE OPPOSITION RUNS(X) (X-X') (X-X)2
1 23-11-2008 England 11 -38.48 1480.71
2 26-11-2008 England 50 0.52 0.2704
3 28-1-2009 Srilanka 5 -44.48 1978.47
4 31-1-2009 Srilanka 6 -43.48 1890.51
5 3-2-2009 Srilanka 7 -42.48 1804.55
6 3-3-2009 Newzealand 20 -29.48 869.0704
7 6-3-2009 Newzealand 61 11.52 132.7104
8 8-3-2009 Newzealand 163* 113.52 12886.79
9 11-9-2009 Newzealand 46 -3.48 12.1104
10 12-9-2009 Srilanka 27 -22.48 505.3504
11 14-09-2009 Srilanka 138 88.52 7835.79
12 26-09-2009 Pakistan 8 -41.48 1720.59
13 28-09-2009 Australia 0 -49.48 2448.27
14 25-10-2009 Australia 14 -35.48 1258.83
15 28-10-2009 Australia 4 -45.48 2068.43
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16 31-10-2009 Australia 32 -17.48 305.5504
17 2-11-2009 Australia 40 -9.48 89.8704
18 5-11-2009 Australia 175 125.52 15755.27
19 8-11-2009 Australia 10 -39.48 1558.67
20 15-12-2009 Srilanka 69 19.52 381.0304
21 18-12-2009 Srilanka 43 -6.48 41.9904
22 21-12-2009 Srilanka 96* 46.52 2164.11
23 24-12-2009 Srilanka 8 -41.48 1720.59
24 21-2-2010 South Africa 4 -45.48 2068.43
25 24-2-2010 South Africa 200* 150.52 22656.27
Total 1237 83634.24
No of Not Outs = 3
Mean = X= X/n = 1237/25 = 49.48
Standard Deviation = +SQRT( (X-X)2)/n) = 57.83917
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (1237)/(25-3) = 56.2273
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 102.867
Sachin performance in Test cricket matches:
S.NO DATE OPPOSITION INN 1 INN 2 RUNS(X) (X-X') (X-X)
2
1 16-1-
2008
Australia 71 13 84 -8.2 67.24
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2 24-1-
2008
Australia 153 13 166 73.8 5446.4
4
3 26-3-
2008
South
Africa
0 0 0 -92.2 8500.8
4
4 23-7-2008
Srilanka 27 12 39 -53.2 2830.24
5 31-7-
2008
Srilanka 5 31 36 -56.2 3158.4
4
6 8-8-2008 Srilanka 6 14 20 -72.2 5212.8
4
7 9-10-
2008
Australia 13 49 62 -30.2 912.04
8 17-10-2008
Australia 88 10* 98 5.8 33.64
9 29-10-
2008
Australia 68 47 115 22.8 519.84
10 6-11-
2008
Australia 109 12 121 28.8 829.44
11 11-12-
2008
England 37 103* 140 47.8 2284.8
4
12 19-12-2008
England 11 5 16 -76.2 5806.44
13 18-3-
2009
New
Zealand
160 DNB 160 67.8 4596.8
4
14 26-3-
2009
New
Zealand
49 64 113 20.8 432.64
15 3-4-2009 New
Zealand
62 9 71 -21.2 449.44
16 16-11-2009 Srilanka 4 100* 104 11.8 139.24
17 24-11-
2009
Srilanka 40 0 40 -52.2 2724.8
4
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18 2-12-
2009
Srilanka 53 0 53 -39.2 1536.6
4
19 17-1-
2010
Banglades
h
105* 16 121 28.8 829.44
20
24-1-2010
Bangladesh
143 DNB 143 50.8 2580.64
21 6-2-2010 South
Africa
7 100 107 14.8 219.04
22 14-2-
2010
South
Africa
106 0 106 13.8 190.44
23 18-7-
2010
Srilanka 8 84 92 -0.2 0.04
24 26-7-
2010
Srilanka 203 0 203 110.8 12276.
64
25 3-8-2010 Srilanka 41 54 95 2.8 7.84
Total 2305 61586
No of Not Outs = 4
Mean = X= X/n = 2305/25 = 92.2
Standard Deviation = +SQRT( (X-X)2)/n) = 49.63305
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (2305)/(25-4) = 109.7619
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 45.21883
Dravid Performance in OneDayInternational cricket matches:
S.NO DATE OPPOSITI
ON
RUNS(
X)
(X-X') (X-X)2
1 19-3-2007 Bermuda 7* -21.28 452.838
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4
2 23-3-2007 Srilanka 60 31.72 1006.15
8
3 10-5-2007 Banglades
h
22 -6.28 39.4384
4 12-5-2007 Banglades
h
42* 13.72 188.238
4
5 26-6-2007 South
Africa
74 45.72 2090.31
8
6 29-6-2007 South
Africa
2 -26.28 690.638
4
7 1-7-2007 South
Africa
36 7.72 59.5984
8 16-8-2007 Scotland 10* -18.28 334.158
4
9 21-8-2007 England 46 17.72 313.998
4
10 24-8-2007 England 92* 63.72 4060.23
8
11 27-8-2007 England 56 27.72 768.398
4
12 30-8-2007 England 1 -27.28 744.198
4
13 2-9-2007 England 24 -4.28 18.3184
14 5-9-2007 England 4 -24.28 589.518
4
15 8-9-2007 England 0 -28.28 799.758
4
16 2-10-2007 Australia 31 2.72 7.3984
17 5-10-2007 Australia 0 -28.28 799.758
4
18 8-10-2007 Australia 13 -15.28 233.478
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4
19 11-10-
2007
Australia 0 -28.28 799.758
4
20 14-10-
2007
Australia 7 -21.28 452.838
4
21 11-9-2009 New
Zealand
14 -14.28 203.918
4
22 12-9-2009 Srilanka 47 18.72 350.438
4
23 14-9-2009 Srilanka 39 10.72 114.918
4
24 26-9-2009 Pakistan 76 47.72 2277.19
8
25 30-9-2009 West
Indies
4 -24.28 589.518
4
Total 707 17985.
04
No of Not Outs = 4
Mean = X= X/n = 707/25 = 28.28
Standard Deviation = +SQRT( (X-X)2)/n) = 26.82166
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (707)/(25-4) = 33.66667
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 79.66831
Dravid performance in Test cricket matches:
S.NO DATE OPPOSIT
ION
INN 1 INN 2 RUNS
(X)
(X-X') (X-X)2
1 16-1- Australia 93 3 96 28.2 795.24
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2008
2 24-1-
2008
Australia 18 11 29 -38.8 1505.4
4
3 26-3-
2008
South
Africa
111 0 111 43.2 1866.2
4
4 3-4-2008 South
Africa
3 17 20 -47.8 2284.8
4
5 11-4-
2008
South
Africa
29 18* 47 -20.8 432.64
6 23-7-
2008
Srilanka 14 10 24 -43.8 1918.4
4
7 31-7-
2008
Srilanka 2 44 46 -21.8 475.24
8 8-8-2008 Srilanka 10 68 78 10.2 104.04
9 9-10-
2008
Australia 51 5 56 -11.8 139.24
10 17-10-
2008
Australia 39 DNB 39 -28.8 829.44
11 29-10-
2008
Australia 11 11 22 -45.8 2097.6
4
12 6-11-
2008
Australia 0 3 3 -64.8 4199.0
4
13 11-12-
2008
England 3 4 7 -60.8 3696.6
4
14 19-12-
2008
England 136 0 136 68.2 4651.2
4
15 18-3-
2009
Newzeala
nd
66 8* 74 6.2 38.44
16 26-3-2009
Newzealand
83 62 145 77.2 5959.84
17 3-4-2009 Newzeala
nd
35 60 95 27.2 739.84
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18 16-11-
2009
Srilanka 177 38 215 147.2 21667.
84
19 24-11-
2009
Srilanka 144 0 144 76.2 5806.4
4
20 2-12-2009
Srilanka 74 0 74 6.2 38.44
21 17-1-
2010
Banglade
sh
4 24 28 -39.8 1584.0
4
22 24-1-
2010
Banglade
sh
111* DNB 111 43.2 1866.2
4
23 18-7-
2010
Srilanka 18 44 62 -5.8 33.64
24 26-7-2010
Srilanka 3 0 3 -64.8 4199.04
25 3-8-2010 Srilanka 23 7 30 -37.8 1428.8
4
Total 1695 68358
No of Not Outs = 4
Mean = X= X/n = 1695/25 = 28.28
Standard Deviation = +SQRT( (X-X)2)/n) = 52.29073
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (1695)/(25-4) = 77.04545
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 67.86997
Sehwag performance in OneDayInternational cricket matches:
S.NO DATE OPPOSITIO
N
RUNS
(X)
(X-X') (X-X)2
1 8-3-2009 New Zealand 3 -35.24 1241.8
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58
2 11-3-2009 New Zealand 125 86.76 7527.2
98
3 14-3-
20009
New Zealand 40 1.76 3.0976
4 25-10-
2009
Australia 13 -25.24 637.05
76
5 28-10-
2009
Australia 40 1.76 3.0976
6 31-10-
2009
Australia 11 -27.24 742.01
76
7 2-11-2009 Australia 30 -8.24 67.897
6
8 5-11-2009 Australia 38 -0.24 0.0576
9 8-11-2009 Australia 6 -32.24 1039.4
18
10 15-12-
2009
Sri Lanka 146 107.7
6
11612.
22
11 18-12-
2009
Sri Lanka 4 -34.24 1172.3
78
12 21-12-
2009
Sri Lanka 44 5.76 33.177
6
13 24-12-
2009
Sri Lanka 10 -28.24 797.49
76
14 5-1-2010 Sri Lanka 47 8.76 76.737
6
15 7-1-2010 Bangladesh 13 -25.24 637.05
76
16 13-1-2010 Sri Lanka 42 3.76 14.1376
17 21-2-2010 South Africa 46 7.76 60.217
6
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18 24-2-2010 South Africa 9 -29.24 854.97
76
19 16-6-2010 Bangladesh 11 -27.24 742.01
76
20 19-6-2010 Pakistan 10 -28.24 797.4976
21 10-8-2010 New Zealand 19 -19.24 370.17
76
22 16-8-2010 Sri Lanka 99* 60.76 3691.7
78
23 22-8-2010 Sri Lanka 12 -26.24 688.53
76
24 25-8-2010 New Zealand 110 71.76 5149.498
25 28-8-2010 Sri Lanka 28 -10.24 104.85
76
Total 956 38064
.56
No of Not Outs = 1
Mean = X= X/n = 956/25 = 38.24
Standard Deviation = +SQRT( (X-X)2)/n) = 39.02028
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (956)/(25-1) = 39.83333
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 97.95887
Sehwag performance in Test cricket matches:
S.NO DATE OPPOSITI
ON
INN
1
INN 2 RUNS
(X)
(X-X') (X-X)2
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1 26-3-2008 South
Africa
319 - 319 215.0
8
46259.
41
2 3-4-2008 South
Africa
6 17 23 -80.92 6548.0
46
3 11-4-2008 SouthAfrica
8 22 30 -73.92 5464.166
4 23-7-2008 Sri Lanka 25 13 38 -65.92 4345.4
46
5 31-7-2008 Sri Lanka 201 50 251 147.0
8
21632.
53
6 8-8-2008 Sri Lanka 21 34 55 -48.92 2393.1
66
7 9-10-2008 Australia 45 6 51 -52.92 2800.526
8 17-10-
2008
Australia 35 90 125 21.08 444.36
64
9 29-10-
2008
Australia 1 16 17 -86.92 7555.0
86
10 6-11-2008 Australia 66 92 158 54.08 2924.6
46
11 11-12-2008
England 9 17 92 -11.92 142.0864
12 19-12-
2008
England 0 17 17 -86.92 7555.0
86
13 18-3-2009 New
Zealand
24 DNB 24 -79.92 6387.2
06
14 26-3-2009 New
Zealand
51 22 56 -47.92 2296.3
26
15 3-4-2009 NewZealand 48 12 60 -43.92 1928.966
16 16-11-
2009
Sri Lanka 16 51 67 -36.92 1363.0
86
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17 24-11-
2010
Sri Lanka 131 - 131 27.08 733.32
64
18 2-12-2009 Sri Lanka 293 - 293 189.0
8
35751.
25
19 17-1-2010 Bangladesh
52 45 97 -6.92 47.8864
20 24-1-2010 Banglades
h
56 0* 56 -47.92 2296.3
26
21 6-2-2010 South
Africa
109 16 125 21.08 444.36
64
22 14-2-2010 South
Africa
165 - 165 61.08 3730.7
66
23 18-7-2010 Sri Lanka 109 31 140 36.08 1301.766
24 26-7-2010 Sri Lanka 99 - 99 -4.92 24.206
4
25 3-8-2010 Sri Lanka 109 0 109 5.08 25.806
4
Total 2598 16439
5.8
No of Not Outs = 1
Mean = X= X/n = 2598/25 = 103.92
Standard Deviation = +SQRT( (X-X)2)/n) = 81.09151
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (2598)/(25-1) = 108.25
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 74.9113
Dhoni performance in OneDayInternational cricket matches:
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S.NO DATE OPPOSITI
ON
RUNS
(X)
(X-X') (X-X)2
1 14/9/200
9
Srilanka 56 12.12 146.89
44
2 26/9/2009
Pakistan 3 -40.88 1671.174
3 25/10/20
09
Australia 34 -9.88 97.614
4
4 28/10/20
09
Australia 124 80.12 6419.2
14
5 31/10/20
09
Australia 71* 27.12 735.49
44
6 2/11/2009
Australia 26 -17.88 319.6944
7 5/11/200
9
Australia 6 -37.88 1434.8
94
8 8/11/200
9
Australia 24 -19.88 395.21
44
9 15/12/20
09
Srilanka 72 28.12 790.73
44
10 18/12/2009
Srilanka 107 63.12 3984.134
11 5/1/2010 Srilanka 37 -6.88 47.334
4
12 7/1/2010 Banglades
h
101* 57.12 3262.6
94
13 11/1/201
0
Banglades
h
32 -11.88 141.13
44
14 13/1/2010 Srilanka 14 -29.88 892.8144
15 24/2/201
0
South
Africa
68* 24.12 581.77
44
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16 27/2/201
0
South
Africa
9 -34.88 1216.6
14
17 16/6/201
0
Banglades
h
38* -5.88 34.574
4
18 19/6/2010
Pakistan 56 12.12 146.8944
19 22/6/201
0
Srilanka 41 -2.88 8.2944
20 25/6/201
0
New
Zealand
38 -5.88 34.574
4
21 10/8/201
0
Srilanka 2 -41.88 1753.9
34
22 16/8/2010
Srilanka 23* -20.88 435.9744
23 22/8/201
0
Srilanka 10 -33.88 1147.8
54
24 25/8/201
0
New
Zealand
38 -5.88 34.574
4
25 28/8/201
0
Srilanka 67 23.12 534.53
44
Total 1097 26268.64
No of Not Outs = 5
Mean = X= X/n = 1097/25 = 43.88
Standard Deviation = +SQRT( (X-X)2)/n) = 32.415206
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (1097)/(25-5) = 54.85
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 59.097915
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Dhoni performance in Test cricket matches:
S.NO DATE OPPOSITI
ON
INN
1
INN 2 RUNS
(X)
(X-X') (X-X)2
1 30/11/20
07
Pakistan 50* 37 87 27.68 766.18
24
2 26/12/20
07
Australia 0 11 11 -48.32 2334.8
22
3 2/1/2008 Australia 2 35 37 -22.32 498.18
24
4 16/1/200
8
Australia 19 38 57 -2.32 5.3824
5 24/1/200
8
Australia 16 20 36 -23.32 543.82
24
6 26/3/200
8
South
Africa
16 - 16 -43.32 1876.6
22
7 3/4/2008 South
Africa
14 52 66 6.68 44.622
4
8 11/4/200
8
South
Africa
32 DNB 32 -27.32 746.38
24
9 9/10/200
8
Australia 9 DNB 9 -50.32 2532.1
02
10 17/10/20
08
Australia 92 68* 160 100.6
8
10136.
46
11 29/10/20
08
Australia 27 DNB 27 -32.32 1044.5
82
12 6/11/200
8
Australia 56 55 111 51.68 2670.8
22
13 11/12/20
08
England 53 DNB 53 -6.32 39.942
4
14 19/12/20
08
England 29 0 29 -30.32 919.30
24
15 18/3/200 NewZealan 47 DNB 47 -12.32 151.78
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9 d 24
16 3/4/2009 NewZealan
d
52 56* 108 48.68 2369.7
42
17 16/11/20
09
Srilanka 110 DNB 110 50.68 2568.4
62
18 24/11/20
09
Srilanka 4 - 4 -55.32 3060.3
02
19 2/12/200
9
Srilanka 100* - 100 40.68 1654.8
62
20 24/1/201
0
Bangladesh 89 DNB 89 29.68 880.90
24
21 6/2/2010 South
Africa
6 25 31 -28.32 802.02
24
22 14/2/201
0
South
Africa
135* - 135 75.68 5727.4
62
23 18/7/201
0
Srilanka 33 4 37 -22.32 498.18
24
24 26/7/201
0
Srilanka 76 - 76 16.68 278.22
24
25 3/8/2010 Srilanka 15 DNB 15 -44.32 1964.2
62
Total 1483 44115
.44
No of Not Outs = 5
Mean = X= X/n = 1483/25 = 59.32
Standard Deviation = +SQRT( (X-X)2)/n) = 42.00735
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (1097)/(25-5) = 74.15
Coefficient of Variation = (Standard Deviation/Batting Average)*100
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= 56.65186
Yuvraj performance in ODI:
S.NO DATE OPPOSITIO
N
RUNS
(X)
(X-X') (X-X)2
1 3/3/2009 New
Zealand
2 -24.8 615.04
2 6/3/2009 New
Zealand
0 -26.8 718.24
3 8/3/2009 New
Zealand
87 60.2 3624.0
4
4 14/3/200
9
New
Zealand
11 -15.8 249.64
5 26/6/200
9
West Indies 131 104.2 10857.
64
6 28/6/200
9
West Indies 35 8.2 67.24
7 3/7/2009 West Indies 2 -24.8 615.04
8 11/9/200
9
New
Zealand
8 -18.8 353.44
9 12/9/2009
Srilanka 16 -10.8 116.64
10 14/9/200
9
Srilanka 56* 29.2 852.64
11 28/10/20
09
Australia 23 -3.8 14.44
12 31/10/20
09
Australia 78 51.2 2621.4
4
13 2/11/2009 Australia 12 -14.8 219.04
14 5/11/200
9
Australia 9 -17.8 316.84
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15 8/11/200
9
Australia 6 -20.8 432.64
16 21/12/20
09
Srilanka 23 -3.8 14.44
17 5/1/2010 Srilanka 74 47.2 2227.84
18 7/1/2010 Bangladesh 1 -25.8 665.64
19 10/1/201
0
Srilanka 8* -18.8 353.44
20 11/1/201
0
Bangladesh 13 -13.8 190.44
21 13/1/201
0
Srilanka 0 -26.8 718.24
22 10/8/201
0
New
Zealand
5 -21.8 475.24
23 22/8/201
0
Srilanka 38 11.2 125.44
24 25/8/201
0
New
Zealand
6 -20.8 432.64
25 28/
8/2010
Srilanka 26 -0.8 0.64
Total 670 26878
No of Not Outs = 2
Mean = X= X/n = 670/25 = 26.8
Standard Deviation = +SQRT( (X-X)2)/n) = 32.789023
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (670)/(25-2) = 29.130435
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 112.55933
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Yuvraj performance in Test:
S.NO DATE OPPOSITI
ON
INN
1
INN 2 RUNS
(X)
(X-X') (X-X)2
1 20/9/200
5
Zimbabwe 25 DNB 25 -26.4 696.96
2 10/12/20
05
Srilanka 0 77* 77 25.6 655.36
3 18/12/20
05
Srilanka 0 75 75 23.6 556.96
4 21/1/200
6
Pakistan 4 DNB 4 -47.4 2246.7
6
5 29/1/200
6
Pakistan 45 122 167 115.6 13363.
36
6 9/3/2006 England 15 DNB 15 -36.4 1324.9
6
7 18/3/200
6
England 37 12 49 -2.4 5.76
8 2/6/2006 West Indies 23 39 62 10.6 112.36
9 10/6/200
6
West Indies 2 - 2 -49.4 2440.3
6
10 22/6/200
6
West Indies 0 8* 8 -43.4 1883.5
6
11 30/6/200
6
West Indies 19 13 32 -19.4 376.36
12 8/12/200
7
Pakistan 169 2 171 119.6 14304.
16
13 26/1/200
7
Australia 0 5 5 -46.4 2152.9
6
14 2/1/2008 Australia 12 0 12 -39.4 1552.3
6
15 11/4/200 South 32 DNB 32 -19.4 376.36
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8 Africa
16 11/12/20
08
England 14 85* 99 47.6 2265.7
6
17 19/12/20
08
England 27 86 113 61.6 3794.5
6
18 18/3/200
9
New
Zealand
22 DNB 22 -29.4 864.36
19 26/3/200
9
New
Zealand
0 54* 54 2.6 6.76
20 3/4/2009 New
Zealand
9 40 9 -42.4 1797.7
6
21 16/11/20
09
Srilanka 68 DNB 68 16.6 275.56
22 24/11/20
09
Srilanka 67 - 67 15.6 243.36
23 2/12/200
9
Srilanka 23 - 23 -28.4 806.56
24 17/1/201
0
Bangladesh 12 25 37 -14.4 207.36
25 18/8/201
0
Srilanka 5 52 57 5.6 31.36
Total 1285 52342
No of Not Outs = 4
Mean = X= X/n = 1285/25 = 51.4
Standard Deviation = +SQRT( (X-X)2)/n) = 45.75675
Batting Average = (Total runs scored)/(No of matches played No of not Outs)
= (1285)/(25-4) = 61.19048
Coefficient of Variation = (Standard Deviation/Batting Average)*100
= 74.77754
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Tables of comparison s
One Day International matches:
Sachin Dravid Sehwag Dhoni Yuvraj
Batting Average 56.22 33.67 39.83 54.85 29.13
Standard Deviation 57.839 26.821 39.02 32.415 37.87
Coeff. Of Variation 102.87 79.67 97.95 59.09 112.55
Test matches:
Sachin Dravid Sehwag Dhoni Yuvraj
Batting Average 109.76 77.04 108.25 74.15 61.19
Standard Deviation 49.63 52.29 81.09 42.007 45.756
Coeff. Of Variation 45.21 67.87 74.91 56.65 74.77
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INTERPRETATION AND ANALYSIS OF DATA
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ANALYSIS AND INTERPRETATION
The last 25 matches of each batsman, in ODI and Test, shows that there are fluctuations in the
runs scored by the batsman. The observation on their batting averages and coefficient of
variations are:
Batting Average:
In ODI matches, for the last 25 matches batting averages in the descending order is:
Sachin > Dhoni > Sehwag > Dravid > Yuvraj
In Test matches, for the last 25 matches batting averages in the descending order is:
Sachin > Sehwag > Dravid > Dhoni > Yuvraj
Standard deviation:
In ODI matches, for the last 25 matches batting averages in the descending order is:
Dravid < Dhoni < Yuvraj < Sehwag < Sachin
In Test matches, for the last 25 matches batting averages in the descending order is:
Dhoni < Yuvraj < Sachin < Dravid < Sehwag
Coefficient of variation:
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In ODI matches, for the last 25 matches coefficient of variation in the ascending order is:
Dhoni < Dravid < Sehwag < Sachin < Yuvraj
In Test matches, for the last 25 matches coefficient of variation in the ascending order is:
Sachin < Dhoni < Dravid < Yuvraj < Sehwag
CONCLUSION
By analyzing the runs scored in the last 25 cricket matches by Sachin,
Dravid, Segwag, Dhoni and Yuvraj, it is observed that batting average of
Sachin in both ODI and Test match is more than other players. So each
time Sachin contributes more runs than the other players.
The standard deviation is useful in describing how far individual items
in a distribution depart from the mean of the distribution. Here Dravid hasthe least Standard Deviation value and Sachin has the highest Standard
Deviation value in the ODI matches. Dhoni has the least Standard
Deviation value and Sehwag has the highest Standard Deviation value in
the Test matches. So the scores of Dravid in ODI matches and the scores
of Dhoni in Test matches have the less deviation from the central score
value to the individual scores whereas Sachin and Sehwag have the more
deviation from the central score value to the individual scores in ODI and
Test matches respectively.
The standard deviation is an absolute measure of dispersion that
expresses variation in the same units. The standard deviation cannot be
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the sole basis for comparing two batsman scores. We need a relative
distribution that will give us the magnitude of the deviation relative to the
batting average. The coefficient of variation is one such relative measure
of dispersion which gives standard deviation as a percentage of the
batting average. So coefficient of variation is the one of the measure of
consistency of the batsman. In the ODI cricket matches Dhoni has the
lowest Coefficient of variation than the other players, so he is the most
consistent player. In the Test cricket matches Sachin has the lowest
Coefficient of variation than the other players, so he is the most
consistent player. In the consistency levels Dhoni is followed by Dravid,
Sehwag, Sachin and Yuvraj in the One Day International cricket and
Sachin is followed by Dhoni, Dravid, Yuvraj and Sehwag in the Test
cricket.
It is also one of the interesting observations that Sachin is having
highest batting average but he is not consistent as the others players of
having less batting average than Sachin in One Day International cricket
matches.
BIBILIOGRAPHY
Statistics for Management by Richard I.Levin and David S. Rubin
www.cricinfo.com
www.google.co.in
www.Wikipedia.com
31
http://www.cricinfo.com/http://www.cricinfo.com/