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i want to know is my answer 0.98 correct or not.

i want to know is my answer 0.98 correct or not. Calculate Karl Pearson's coefficient of correlation from the following data & interpret the Marks Mathematics Marks in Statistics 15 25 18 25 21 27 24 27 27 31 30 36 39 33 35 42 48 41 45

Dear Student
X dx = X - Mean  dx2 Y dy = Y - Mean  dy2 dxdy
15 -15 225 25 -8 64 120
18 -12 144 25 -8 64 96
21 -9 81 27 -6 36 54
24 -6 36 27 -6 36 36
27 -3 9 31 -2 4 6
30 0 0 33 0 0 0
36 6 36 35 2 4 12
39 9 81 41 8 64 72
42 12 144 41 8 64 96
48 18 324 45 12 144 216
300   1080 330   480 708

Mean (x) = 300/10 = 30
Mean (y) = 330/10 = 33
r = ∑xy∑x2 X ∑y2r = 7081080 X 480r = 708518400r = 708720r = 0.98

Yes your answer is correct.

Regards

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