Two cricket players, X and Y

MATHEMATICS · Multi-part · CBSE · Mathematics · Statistics · Statistics

Problem

Two cricket players, X and Y, scored runs in 10 innings each during a tournament. The data are summarised as follows: Player X: ∑x=380,∑x2=18 400\sum x = 380,\quad \sum x^{2} = 18\,400 Player Y: ∑y=400,∑y2=21 000\sum y = 400,\quad \sum y^{2} = 21\,000 Answer the following. (i) For each player, compute the mean runs per innings. (ii) For each player, compute the variance and the standard deviation of runs (correct to two decimal places). (iii) On the basis of your results, determine which player is more reliable in scoring runs and give a brief reason.

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