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Mmitchell10 (talk | contribs) Tournament NRR definition shifted to opening paragraphs. |
Mmitchell10 (talk | contribs) →Net Run Rate within a tournament: NRR as wghtd avrg of RR's |
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==Net Run Rate within a tournament==
===Basic example===
Most of the time, in limited overs cricket tournaments, there are round-robin groups among several teams, where each team plays all of the others. Just as explained in the scenarios above, the NRR is not the average of the NRRs of all the matches played, it is calculated considering the overall rate at which runs are scored for and against, within the whole group.
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South Africa's tournament net run rate is therefore 4.263 − 3.404 = +0.859.
===Tournament Net Run Rate as weighted average of the run rates===
Tournament net run rate can alternatively be thought of as the [[Weighted arithmetic mean|weighted average]] of the run rates scored in each match (weighted by the lengths of the innings batted compared to the other innings batted), minus the weighted average of the run rates conceded in each match (weighted by the lengths of the innings bowled compared to the other innings bowled).
For example, in Group D of the [[2009_ICC_World_Twenty20#Group_D|2009 World Twenty20]], New Zealand scored:
*Against Scotland, 90 runs from 6 overs, a run rate of 15.00.
*Against South Africa, 127 runs from 20 overs, a run rate of 6.35.
New Zealand conceded:
*Against Scotland, 89 runs from 7 overs, a run rate of 12.714.
*Against South Africa, 128 runs from 20 overs, a run rate of 6.40.
Using the formula above, this gives New Zealand:
<math>\mbox{tournament net run rate }=\frac{\mbox{90 + 127}}{\mbox{6 + 20}} - \frac{\mbox{89 + 128}}{\mbox{7 + 20}} = 0.31 </math>
This can alternatively be calculated as the weighted average of the run rates as follows:
<math>\mbox{tournament net run rate }=\left(15.00\times\frac{\mbox{6}}{\mbox{6 + 20}}\right)
+\left(6.35\times\frac{\mbox{20}}{\mbox{6 + 20}}\right)
-\left(12.714\times\frac{\mbox{7}}{\mbox{7 + 20}}\right)
-\left(6.40\times\frac{\mbox{20}}{\mbox{7 + 20}}\right) </math>
<math>=\left(15.00\times 23.1%\right)+\left(6.35\times 76.9%\right)-\left(12.714\times 25.9%\right)-\left(6.40\times 74.1%\right) </math>
<math>=0.31</math>
==Criticisms==
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