THE DISTRIBUTION OF BATTING SCORES IN CRICKET.
The distribution of batting scores in Cricket shows an exponentially decreasing pattern similar to the radioactive decay curve. For an exponential distribution, the probability density curve is a function of a single parameter. The mean score of this distribution is always greater than the median score, the latter being 1n2 times the former, and the mode of all scores is zero. The area under the batting curve yields the total runs scored by the batsman. The probabilities of scoring 0,50, 100,200 and 300 runs are calculated and compared with observation. Amongst all possible scores, the probability of scoring 0 is the highest. The partnership between two openers is calculated for the three cases of maximum positive correlation, no correlation and maximum negative correlation between the batting scores of the two openers and is found to be highly dependent upon the correlation coefficient of their scores. Comparison with actual partnerships indicates that the batting scores of the leading openers are positively correlated.
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|Publication:||Journal of the Alabama Academy of Science|
|Article Type:||Brief Article|
|Date:||Apr 1, 2001|
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