following data relates to age group and percentage of regular players . calculate karl pearson 's cofficient of correlation. age group : 20-25 25-30 30-35 35-40 40-45 45-50 % of regular players : 40 35 28 20 15 5

Age group (X) Percentage of regular players(Y) Mid value (X) XY
20-25 40 22.5 900 506.25 810000
25-30 35 27.5 962.5 756.25 727890.6
30-35 28 32.5 910 1056.25 1115664.06
35-40 20 37.5 750 1406.25 1977539.06
40-45 15 42.5 637.5 1806.25 3262539.06
45-50 5 47.5 237.5 2256.25 5090664.06
Total ∑Y=143 ∑X=210 ∑XY=4397.5 ∑X²=7787.5 12984296.84

r=XY-XYNX2-(X)2N  Y2-(Y)2N=4397.5-210×14367787.5-(210)2612984296.84-(143)26=607.520.91×3602.9 =607.575336.6=0.008r=XY-XYNX2-(X)2N  Y2-(Y)2N=4397.5-210×14367787.5-(210)2612984296.84-(143)26=607.520.91×3602.9 =607.575336.6=0.008

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