From the following data relating to playing habits in various age groups of 900 students. Calculate coefficient of correlation between age group and playing habits.

Age group = 15-16, 16-17, 17-18, 18-19, 19-20, 20-21

No.of students = 250, 200, 150, 120, 100, 80

Regular Players = 200, 150, 90, 48, 30, 12

X

Y

x2

y2

xy

250

200

100

116.67

10000

13611.89

11667

200

150

50

66.67

2500

4444.889

3333.5

150

90

0

6.67

0

44.4889

0

120

48

-30

-35.33

900

1248.209

1059.9

100

30

-50

-53.33

2500

2844.089

2666.5

80

12

-70

-71.33

4900

5087.969

4993.1

       

900

530

  

Therefore, the correlation coefficient between the age group and playing habits is very high as it is closed to 1.

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