stats term paper

8/8/2019 Stats Term Paper

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STATISTICS FOR

MANAGEMENT

Term paper on

Consistency of

batsman

BY:

Dilip Kumar

M. N. (10310)

Gangu Siva Kumar

(10312)

1



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

2



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 batsmen’s, 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.

3



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.

4



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

5



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

6



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 Run 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

7



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

8



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



= (2305)/(25-4) = 109.7619


= 45.21883

Dravid Performance in OneDayInternational cricket matches:

S.NO DATE OPPOSITION

RUNS(X)

(X-X') (X-X’)2

1 19-3-2007 Bermuda 7* -21.28 452.838

4

9



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 Bangladesh

42* 13.72 188.2384

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* -18.28 334.1584

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 -27.28 744.1984

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 -28.28 799.7584

18 8-10-2007 Australia 13 -15.28 233.478

4

10



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 NewZealand

14 -14.28 203.9184

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 WestIndies

4 -24.28 589.5184

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


= (707)/(25-4) = 33.66667


= 79.66831

Dravid 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 93 3 96 28.2 795.24

11



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 SouthAfrica

3 17 20 -47.8 2284.84

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

Newzeala

nd

83 62 145 77.2 5959.8

417 3-4-2009 Newzeala

nd

35 60 95 27.2 739.84

18 16-11- Srilanka 177 38 215 147.2 21667.

12



2009 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 4199.0

4

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



= (1695)/(25-4) = 77.04545


= 67.86997

Sehwag performance in OneDayInternational cricket matches:

S.NO DATE OPPOSITION

RUNS(X)

(X-X') (X-X’)2

1 8-3-2009 New Zealand 3 -35.24 1241.8

58

13



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 -25.24 637.0576

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 14.137

617 21-2-2010 South Africa 46 7.76 60.217

6

18 24-2-2010 South Africa 9 -29.24 854.97

14



76

19 16-6-2010 Bangladesh 11 -27.24 742.01

76

20 19-6-2010 Pakistan 10 -28.24 797.49

76

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 5149.4

98

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



= (956)/(25-1) = 39.83333


= 97.95887

Sehwag performance in Test cricket matches:

S.NO DATE OPPOSITI

ON

INN

1

INN 2 RUNS

(X)

(X-X') (X-X’)2

1 26-3-2008 South 319 - 319 215.0 46259.

15



Africa 8 41

2 3-4-2008 South

Africa

6 17 23 -80.92 6548.0

46

3 11-4-2008 South

Africa

8 22 30 -73.92 5464.1

66

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 2800.5

26

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 -11.92 142.08

64

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 New

Zealand

48 12 60 -43.92 1928.9

6616 16-11-

2009

Sri Lanka 16 51 67 -36.92 1363.0

86

17 24-11- Sri Lanka 131 - 131 27.08 733.32

16



2010 64

18 2-12-2009 Sri Lanka 293 - 293 189.0

8

35751.

25


h

52 45 97 -6.92 47.886

4


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 1301.7

66

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



= (2598)/(25-1) = 108.25


= 74.9113

Dhoni performance in OneDayInternational cricket matches:

S.NO DATE OPPOSITI RUNS (X-X') (X-X’)2

17



ON (X)

1 14/9/200

9

Srilanka 56 12.12 146.89

44

2 26/9/200

9

Pakistan 3 -40.88 1671.1

74

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 2/11/200

9

Australia 26 -17.88 319.69

44

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 18/12/20

09

Srilanka 107 63.12 3984.1

34

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 13/1/201

0

Srilanka 14 -29.88 892.81

4415 24/2/201

0

South

Africa

68* 24.12 581.77

44

16 27/2/201 South 9 -34.88 1216.6

18



0 Africa 14

17 16/6/201

0

Banglades

h

38* -5.88 34.574

4

18 19/6/201

0

Pakistan 56 12.12 146.89

44

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 16/8/201

0

Srilanka 23* -20.88 435.97

44

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



= (1097)/(25-5) = 54.85


= 59.097915

19



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

20



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



= (1097)/(25-5) = 74.15


21



= 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

22



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



= (670)/(25-2) = 29.130435


= 112.55933

23



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

24



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



= (1285)/(25-4) = 61.19048


= 74.77754

25



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

27



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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/

stats term paper

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