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# Maths and sports

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### Maths and sports

1. 1. and Cricket
2. 2. Maths and sports? • Geometry: Equipments (Ball, Bat, Stumps, Helmets, Cork, Cones..), Ground, Boundaries..etc • Addition, multiplication, division (Averages, Strike rates, total scores..) • Specially formulated formulas for specific results (Duckworth-Lewis..)
3. 3. Maths in Cricket? Batting Statistics- Matches: The number of matches played. Innings: The number of innings batted. Not Outs: The number of not out innings - not including times when the player did not bat. Runs: The number of runs scored. High Score: The highest score achieved in a single innings. Balls: The number of balls faced. Hundreds: The number of times the batsman scored 100 or more runs in a single innings. Fifties: The number of times the batsman scored 50 to 99 runs in a single innings.
4. 4. Bowling Statistics- Overs: The number of overs bowled. Maidens: The number of maiden overs bowled. Runs: The number of runs conceded. Wickets: The number of wickets taken. Best Bowling in an Innings: The best bowling figures achieved in a single innings. Five Wicket in an Innings: The number of times the bowler took five or more wickets in a single innings. Ten Wickets in a Match: The number of times the bowler took ten or more wickets in a match.
5. 5. Batting Statistics: • Batting Average: Runs divided by (number of times out) = Runs divided by (Innings - Not Outs). • Strike Rate: Runs divided by Balls multiplied by 100.
6. 6. Bowling Statistics: • Bowling Average: Runs divided by Wickets. • Economy Rate: Runs divided by Balls multiplied by 6. • Strike Rate: Balls divided by Wickets.
7. 7. Other Statistics: • Fielding Statistics- Catches: The number of catches taken to dismiss batsman. Stumpings: The number of successful stumpings achieved as a wicket-keeper. • Partnerships- First wicket partnership: from the beginning of an innings until the first wicket falls. Second wicket partnership: from when the first wicket falls until the second wicket falls. …… Tenth wicket partnership: from when the ninth wicket falls until the tenth wicket falls.
8. 8. Graphical Statistics:
9. 9. Records: • Test MatchesTeam Records – Highest innings total. 952/6 declared, Sri Lanka (v India), Colombo, 1997. – Highest match total. 1121/19, England (v West Indies), Kingston, 1929/30. • Batting Records – Highest innings. 380, Matthew Hayden, Australia (v Zimbabwe), Perth, 2003/04. – Most career aggregate runs. 11174, Allan Border, Australia, 1978/79-1993/94. – Best career batting average. 99.94, Donald Bradman, Australia, 1928/29-1948. – Most career centuries. 34, Sunil Gavaskar, India, 1970/71- 1986/87.
10. 10. • Bowling Records – Best bowling in an innings. 10-53, Jim Laker, England (v Australia), Manchester, 1956. – Best bowling in a match. 19-90, Jim Laker, England (v Australia), Manchester, 1956. – Most career aggregate wickets. 519, Courtney Walsh, West Indies, 1984/85- 2000/01. – Best career bowling average. 10.75, George Lohmann, England, 1886-1896. – Most career 5-wickets-in-an-innings: 39, Muttiah Muralitharan, Sri Lanka, 1992/93- . – Most career 10-wickets-in-a-match: 12, Muttiah Muralitharan, Sri Lanka, 1992/93-. • Partnership Records – Highest 1st wicket partnership. 413, Pankaj Roy and Vinoo Mankad, India (v New Zealand), Chennai, 1955/56. – Highest 2nd wicket partnership. 576, Roshan Mahanama and Sanath Jayasuriya, Sri Lanka (v India), Colombo, 1997. – Highest 3rd wicket partnership. 467, Andrew Jones and Martin Crowe, New Zealand (v Sri Lanka), Wellington, 1990/91.
11. 11. • One-Day Internationals Team Records – Highest innings total. 398/5, Sri Lanka (v Kenya), Kandy, 1995/96. • Batting Records – Highest innings. 194, Saeed Anwar, Pakistan (v India), Chennai, 1996/97. – Most career aggregate runs. 12878, Sachin Tendulkar, India, 1989/90-.
12. 12. • Bowling Records: Best bowling in an innings. 8-19, Chaminda Vaas, Sri Lanka (v Zimbabwe), Colombo, 2001/02. Most career aggregate wickets. 502, Wasim Akram, Pakistan, 1984/85-2002/03. • Partnership Records Highest 1st wicket partnership. 258, Sourav Ganguly and Sachin Tendulkar, India (v Kenya), Paarl, 2001/02. Highest 2nd wicket partnership. 331, Rahul Dravid and Sachin Tendulkar, India (v New Zealand), Hyderabad, 1999/00.
13. 13. Runs, Wickets, Overs…and MATHS BATSMAN Out Bowler Runs Balls 4s 6s A C Gilchrist c G O Jones b C T Tremlett 18 31 2 0 M L Hayden c G O Jones b A Flintoff 39 58 5 0 R T Ponting c A F Giles b S J Harmison 27 38 4 0 D R Martyn not out 68 81 3 0 A Symonds run out 73 81 4 2 M E K Hussey c P D Collingwood b A Flintoff 5 10 0 0 S R Watson not out 11 7 1 0 EXTRAS 6nb 7w 12lb 25 TOTAL for 5 wickets 266
14. 14. • Run rate: to win England need to score 267 runs in 50 overs. England's required run rate = 267 / 50 = 5.34. • Batsman's strike rate: Average runs per ball = (Number of runs scored / Number of balls faced) Strike rate = Runs per ball x 100 Number of runs Symonds scored per ball = 73 / 81 = 0.9012345 Symonds' strike rate = 0.9012 x 100 = 90.12. • Percentage of runs in boundaries: % of runs in boundaries =(4 x number of 4s + 6 x number of 6s) x 100/Number of runs scored So taking Ponting's innings as an example: % of runs in boundaries =(4 x 4 + 6 x 0) x 100 /27= 59.3
15. 15. Bowling: Bowler Overs Maidens Runs Wickets Economy D Gough 10.0 0 41 0 C T Tremlett 9.0 0 53 1 S J Harmison 9.0 2 44 1 A Flintoff 10.0 0 55 2 A F Giles 9.0 1 44 0 P D Collingwood 3.0 0 17 0
16. 16. • Economy rate: Economy rate = Number of runs conceded / Number of overs bowled Gough's economy rate = 41 / 10 = 4.1 • Bowler's strike rate: Strike rate =Number of overs bowled x 6/Number of wickets taken Flintoff's strike rate =10 x 6/2 = 30
17. 17. Presented By- David Anshul Hitesh Karan Aman Naman