Exercise 10.2 · Q10
Q.
ICC team ranking of men's Cricket for the month of May 2020 is given in following table. Calculate correlation coefficient for ODI and test rankings.
| Sr. No. | Team | Rating of test matches | Rating of ODI matches |
|---|---|---|---|
| 1 | Australia | 116 | 107 |
| 2 | New Zealand | 115 | 116 |
| 3 | India | 114 | 119 |
| 4 | England | 105 | 127 |
| 5 | Sri Lanka | 91 | 85 |
| 6 | South Africa | 90 | 108 |
| 7 | Pakistan | 86 | 102 |
| 8 | West Indies | 79 | 76 |
| 9 | Bangladesh | 55 | 88 |
| 10 | Zimbabwe | 18 | 39 |
Source: https://www.icc-cricket.com/rankings/mens/team-rankings/test
Yanam CbseNCERTSubjective· 5mImportance★★★★★est
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Start your 14-day free trial to unlock the full solution →Karl Pearson's correlation coefficient measures the strength/direction of the linear relationship between Test rating and ODI rating across the 10 teams; computing it from the raw ratings gives , a strong positive correlation.
Karl Pearson's coefficient of correlation between two variables over pairs:
where = Test rating, = ODI rating, = number of pairs (teams).
- Tabulate (Test), (ODI), , , for the 10 teams:
| Team | (Test) | (ODI) | |||
|---|---|---|---|---|---|
| Australia | 116 | 107 | 12412 | 13456 | 11449 |
| New Zealand | 115 | 116 | 13340 | 13225 | 13456 |
| India | 114 | 119 | 13566 | 12996 | 14161 |
| England | 105 | 127 | 13335 | 11025 | 16129 |
| Sri Lanka | 91 | 85 | 7735 | 8281 | 7225 |
| South Africa | 90 | 108 | 9720 | 8100 | 11664 |
| Pakistan | 86 | 102 | 8772 | 7396 | 10404 |
| West Indies | 79 | 76 | 6004 | 6241 | 5776 |
| Bangladesh | 55 | 88 | 4840 | 3025 | 7744 |
| Zimbabwe | 18 | 39 | 702 | 324 | 1521 |
| Total | 869 | 967 | 90426 | 84069 | 99529 |
- , , , , , .
- Numerator: . …
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