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 | X² | Y² |
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 |