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PLAYERS           MATCHES INNINGS       NOT OUT RUNS         HIGH SCORE       AVG.           BALLS FACED

AB Agarkar               4          2         0        15             14               7.5             11

MS Dhoni                10          9         2        172            45             24.57            154

G Gambhir                9          8         0        299            75             37.37            233

Harbhajan Singh         10          3         0         9                 7             3              13

Joginder Sharma          4          -         -          -                -              -                 -

KD Karthik               6          5         1        67             31*            16.75             58

M Kartik                 1          -         -          -                -              -                 -

Z Khan                   1          -         -          -                -              -                 -

P Kumar                  1          1         0         6                 6             6              10

D Mongia                 1          1         0        38             38               38              45

IK Pathan               10          7         4        60             26               20              60

YK Pathan                1          1         0        15             15               15                  8

SK Raina                 1          1         1         3              3*                -                 4

V Sehwag                 9          8         0        172            68              21.5            132

I Sharma                 1          1         1         3              3*                -                 6

RG Sharma                6          4         3        96             50*              96              69

RP Singh                 8          1         1         1              1*                -                 1

S Sreesanth             10          3         2        20             19*              20              14

SR Tendulkar             1          1         0        10             10               10              12

RV Uthappa               9          8         0        149            50             18.62            129

Yuvraj Singh             7          6         1        179            70              35.8            101
STRIKE RATE

      136.36
      111.68
      128.32
       69.23
              -
      115.51
              -
              -
         60
       84.44
         100
       187.5
         75
       130.3
         50
      139.13
         100
      142.85
       83.33
       115.5
      177.22
SA( 1ST DEC 06) PAK( 14TH SEP 07) NZ( 16th sep 07) ENG(19th sep) SA(20th sep)
PLAYERS

   GAMBHIR                 _                     0               51         58           19
    SEHWAG                34                     5               40         68           11
   UTHAPPA                 _                    50                0          6           15
      YUVRAJ               _                     1                5         58          DNB
  D.KARTHIK              31*                    11               17          _            0
       DHONI               0                    33               24         20           45
   I.PATHAN              DNB                    20               11         0*           0*
  R.SHARMA                 _                     _                _        DNB          50*
      SACHIN              10                     _                _          _            _
  D.MONGIA                38                     _                _          _            _


                                   The most consistent Batsmen are :
                               1. Rohit Sharma
                               2. M.S.Dhoni
                               3. Gautam Gambhir
                               4. Yuvraj Singh

                               The better run getters are :
                               1. Gautam Gambhir
                               2. Yuvraj Singh
                               3. Rohit Sharma
                               4. Virendar Sehwag
                               5. M.S.Dhoni
AUS(22 sep) PAK(24 sep) AUS(20 oct) AUS( 1 feb 08) TOTAL RUNS AVG.       STD. DEV CV(IN%)


         24         75         63             9          299     37.37          26    69.57
          9          _          5             0          172      21.5       22.18   103.16
         34          8         35             1          149     18.62       17.44    93.66
         70         14        31*             _          179     29.83       21.44    71.87
          _          _          _             8           67      13.4       10.37    77.38
         36          6         18             9          191     21.22       13.04    61.47
         0*         3*        DNB            26           60      8.57         8.8    102.7
         8*        30*        DNB             8           96        24         3.5    14.58
          _          _          _             _           10        10           0        0
          _          _          _             _           38        38           0        0
PLAYERS     MATCH( Xi) RUNS(Yi)         Xi*Xi     Yi*Yi       Xi*Yi

  AGARKAR              4         15          16       225          60
     DHONI            10        172         100     29584        1720
  GAMBHIR              9        299          81     89401        2691
HARBHAJAN             10          9                    81          90
 D.KARTHIK             6         67          36      4489         402
  P.KUMAR              1          6           1        36           6
 D.MONGIA              1         38           1      1444          38
  I.PATHAN            10         60         100      3600         600

 Y.PATHAN              1         15           1       225          15
     S.RAINA           1          3           1         9           3
    SEHWAG             9        172          81     29584        1548
  I.SHARMA             1          3           1         9           3
 R.SHARMA              6         96          36      9216         576
   RP SINGH            8          1          64         1           8
SRESAANTH             10         20         100       400         200
      SACHIN           1         10           1       100          10
   UTHAPPA             9        149          81     22201        1341
     YUVRAJ            7        179          49     32041        1253
                     104       1314         750    222646       10564


                           FORMULA USED:                     COEFF. OF DETERMINANT=   √(∑x
r = 0.53




             ∑xiyi –   n.mean(x.y)

√(∑xi^2 – nx^-2) * √(∑yi^2 – ny^-2)
PLAYERS BALLS BOWLED( Xi)   RUNS GIVEN(Yi)    Xi^2    Yi^2   Xi*Yi

   AGARKAR               63               85     3969    7225    5355
HARBHAJAN               192              228    36864   51984   43776
  J.SHARMA               87              138     7569   19044   12006
  I. PATHAN             198              231    39204   53361   45738
   RP SINGH             168              191    28224   36481   32088
 SREESANTH              204              288    41616   82944   58752




                                                                        ∑xiyi –   n.mea

                                                          √(∑xi^2 – nx^-2) * √(
r = 0.953



n.mean(x.y)

-2) * √(∑yi^2 – ny^-2)
RUNS SCORED BY BATSMEN ON DIFFERENT DAYS OF WEEK

MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY                           SATURDAY SUNDAY    TOTAL

     136         120            194         140             113         173     148       1024


CAN WE CONCLUDE THAT RUNS SCORED ARE INDEPENDENT OF THE DAY OF THE WEEK.


BY THE HELP OF CHI SQUARE METHOD WE CAN CONCLUDE THAT

           H0 : ITS INDEPENDENT OF THE DAY OF THE WEEK
           H1: ITS DEPENDENT ON THE DAY OF THE WEEK
                                                                                                 DEGREE OF FREEDOM=
Oi                 Ei          Oi-Ei   (Oi-Ei)^2   (Oi-Ei)^2/ Ei
     136      146.28         -10.28      105.67          0.7223                       SINCE THE LEVEL OF SIGNIFICANC
     120      146.28         -26.28      690.63          4.7212
     194      146.28          47.72     2277.19           15.56                       THE TABULATED VALUE OF X^2 A
     140      146.28          -6.28       39.43        0.26955                        SINCE THE CALCULATED VALUE IS
     113      146.28         -33.28     1107.55          7.5714                       THE NULL HYPOTHESIS IS REJECTE
     173      146.28          26.72      713.95          4.8807
     148      146.28           1.72       2.958          0.0202

           CHI SQUARE ( X^2) = ∑(Oi-Ei)^2/ Ei = 33.745
DEGREE OF FREEDOM= K-1= 7-1= 6

LEVEL OF SIGNIFICANCE IS NOT SPECIFIED, IT IS PRESUMED AS 5 %

LATED VALUE OF X^2 AT 6 D.F AND 5% LEVEL OF SIGNIFICANCE IS 12.6
 CALCULATED VALUE IS MORE THAN THE TABULATED VALUE , AND IT FALLS IN THE CRITICAL REGION,
HYPOTHESIS IS REJECTED SO THE RUNS SCORED BY THE BATSMEN IS DEPENDENT OF THE DAY OF THE WEEK.
SA        PAK        NZ           ENG         SA         AUS        PAK        AUS
PLAYERS

HARBHAJAN        22         32           24         35         31          24         36         17
AGARKAR          10         35           40          _          _           _          _          _
J.SHARMA          _          _            _         57         24          37         20          _
I.PATHAN         30         20           16         37         16          44         16         34
RP SINGH          _         23           29         28         13          33         26         39
SREESANTH        33         29           37         38         23          12         44         47


                                 The most consistent Bowlers are :
                                 1. R.P.Singh
                                 2. S. Sreesanth
                                 3. Harbhajan Singh

                                 The best Bowlers are :
                                 1. R.P.Singh
                                 2. Irfan Pathan
                                 3. Harbhajan Singh
AUS        TOTAL RUNS AVG.       STD DEV     CV           Economy


       7          228    25.33        8.85        34.95       7.12
       _           85    28.33       13.13        46.35       8.09
       _          138     34.5       14.43        41.83       9.51
      18          231    25.67       19.77        77.03          7
       _          191    27.29        7.52        27.55       6.82
      25          288       32       10.38        32.44       8.47

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T20 data

  • 1. PLAYERS MATCHES INNINGS NOT OUT RUNS HIGH SCORE AVG. BALLS FACED AB Agarkar 4 2 0 15 14 7.5 11 MS Dhoni 10 9 2 172 45 24.57 154 G Gambhir 9 8 0 299 75 37.37 233 Harbhajan Singh 10 3 0 9 7 3 13 Joginder Sharma 4 - - - - - - KD Karthik 6 5 1 67 31* 16.75 58 M Kartik 1 - - - - - - Z Khan 1 - - - - - - P Kumar 1 1 0 6 6 6 10 D Mongia 1 1 0 38 38 38 45 IK Pathan 10 7 4 60 26 20 60 YK Pathan 1 1 0 15 15 15 8 SK Raina 1 1 1 3 3* - 4 V Sehwag 9 8 0 172 68 21.5 132 I Sharma 1 1 1 3 3* - 6 RG Sharma 6 4 3 96 50* 96 69 RP Singh 8 1 1 1 1* - 1 S Sreesanth 10 3 2 20 19* 20 14 SR Tendulkar 1 1 0 10 10 10 12 RV Uthappa 9 8 0 149 50 18.62 129 Yuvraj Singh 7 6 1 179 70 35.8 101
  • 2. STRIKE RATE 136.36 111.68 128.32 69.23 - 115.51 - - 60 84.44 100 187.5 75 130.3 50 139.13 100 142.85 83.33 115.5 177.22
  • 3. SA( 1ST DEC 06) PAK( 14TH SEP 07) NZ( 16th sep 07) ENG(19th sep) SA(20th sep) PLAYERS GAMBHIR _ 0 51 58 19 SEHWAG 34 5 40 68 11 UTHAPPA _ 50 0 6 15 YUVRAJ _ 1 5 58 DNB D.KARTHIK 31* 11 17 _ 0 DHONI 0 33 24 20 45 I.PATHAN DNB 20 11 0* 0* R.SHARMA _ _ _ DNB 50* SACHIN 10 _ _ _ _ D.MONGIA 38 _ _ _ _ The most consistent Batsmen are : 1. Rohit Sharma 2. M.S.Dhoni 3. Gautam Gambhir 4. Yuvraj Singh The better run getters are : 1. Gautam Gambhir 2. Yuvraj Singh 3. Rohit Sharma 4. Virendar Sehwag 5. M.S.Dhoni
  • 4. AUS(22 sep) PAK(24 sep) AUS(20 oct) AUS( 1 feb 08) TOTAL RUNS AVG. STD. DEV CV(IN%) 24 75 63 9 299 37.37 26 69.57 9 _ 5 0 172 21.5 22.18 103.16 34 8 35 1 149 18.62 17.44 93.66 70 14 31* _ 179 29.83 21.44 71.87 _ _ _ 8 67 13.4 10.37 77.38 36 6 18 9 191 21.22 13.04 61.47 0* 3* DNB 26 60 8.57 8.8 102.7 8* 30* DNB 8 96 24 3.5 14.58 _ _ _ _ 10 10 0 0 _ _ _ _ 38 38 0 0
  • 5. PLAYERS MATCH( Xi) RUNS(Yi) Xi*Xi Yi*Yi Xi*Yi AGARKAR 4 15 16 225 60 DHONI 10 172 100 29584 1720 GAMBHIR 9 299 81 89401 2691 HARBHAJAN 10 9 81 90 D.KARTHIK 6 67 36 4489 402 P.KUMAR 1 6 1 36 6 D.MONGIA 1 38 1 1444 38 I.PATHAN 10 60 100 3600 600 Y.PATHAN 1 15 1 225 15 S.RAINA 1 3 1 9 3 SEHWAG 9 172 81 29584 1548 I.SHARMA 1 3 1 9 3 R.SHARMA 6 96 36 9216 576 RP SINGH 8 1 64 1 8 SRESAANTH 10 20 100 400 200 SACHIN 1 10 1 100 10 UTHAPPA 9 149 81 22201 1341 YUVRAJ 7 179 49 32041 1253 104 1314 750 222646 10564 FORMULA USED: COEFF. OF DETERMINANT= √(∑x
  • 6. r = 0.53 ∑xiyi – n.mean(x.y) √(∑xi^2 – nx^-2) * √(∑yi^2 – ny^-2)
  • 7. PLAYERS BALLS BOWLED( Xi) RUNS GIVEN(Yi) Xi^2 Yi^2 Xi*Yi AGARKAR 63 85 3969 7225 5355 HARBHAJAN 192 228 36864 51984 43776 J.SHARMA 87 138 7569 19044 12006 I. PATHAN 198 231 39204 53361 45738 RP SINGH 168 191 28224 36481 32088 SREESANTH 204 288 41616 82944 58752 ∑xiyi – n.mea √(∑xi^2 – nx^-2) * √(
  • 8. r = 0.953 n.mean(x.y) -2) * √(∑yi^2 – ny^-2)
  • 9. RUNS SCORED BY BATSMEN ON DIFFERENT DAYS OF WEEK MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY TOTAL 136 120 194 140 113 173 148 1024 CAN WE CONCLUDE THAT RUNS SCORED ARE INDEPENDENT OF THE DAY OF THE WEEK. BY THE HELP OF CHI SQUARE METHOD WE CAN CONCLUDE THAT H0 : ITS INDEPENDENT OF THE DAY OF THE WEEK H1: ITS DEPENDENT ON THE DAY OF THE WEEK DEGREE OF FREEDOM= Oi Ei Oi-Ei (Oi-Ei)^2 (Oi-Ei)^2/ Ei 136 146.28 -10.28 105.67 0.7223 SINCE THE LEVEL OF SIGNIFICANC 120 146.28 -26.28 690.63 4.7212 194 146.28 47.72 2277.19 15.56 THE TABULATED VALUE OF X^2 A 140 146.28 -6.28 39.43 0.26955 SINCE THE CALCULATED VALUE IS 113 146.28 -33.28 1107.55 7.5714 THE NULL HYPOTHESIS IS REJECTE 173 146.28 26.72 713.95 4.8807 148 146.28 1.72 2.958 0.0202 CHI SQUARE ( X^2) = ∑(Oi-Ei)^2/ Ei = 33.745
  • 10. DEGREE OF FREEDOM= K-1= 7-1= 6 LEVEL OF SIGNIFICANCE IS NOT SPECIFIED, IT IS PRESUMED AS 5 % LATED VALUE OF X^2 AT 6 D.F AND 5% LEVEL OF SIGNIFICANCE IS 12.6 CALCULATED VALUE IS MORE THAN THE TABULATED VALUE , AND IT FALLS IN THE CRITICAL REGION, HYPOTHESIS IS REJECTED SO THE RUNS SCORED BY THE BATSMEN IS DEPENDENT OF THE DAY OF THE WEEK.
  • 11. SA PAK NZ ENG SA AUS PAK AUS PLAYERS HARBHAJAN 22 32 24 35 31 24 36 17 AGARKAR 10 35 40 _ _ _ _ _ J.SHARMA _ _ _ 57 24 37 20 _ I.PATHAN 30 20 16 37 16 44 16 34 RP SINGH _ 23 29 28 13 33 26 39 SREESANTH 33 29 37 38 23 12 44 47 The most consistent Bowlers are : 1. R.P.Singh 2. S. Sreesanth 3. Harbhajan Singh The best Bowlers are : 1. R.P.Singh 2. Irfan Pathan 3. Harbhajan Singh
  • 12. AUS TOTAL RUNS AVG. STD DEV CV Economy 7 228 25.33 8.85 34.95 7.12 _ 85 28.33 13.13 46.35 8.09 _ 138 34.5 14.43 41.83 9.51 18 231 25.67 19.77 77.03 7 _ 191 27.29 7.52 27.55 6.82 25 288 32 10.38 32.44 8.47