by using karl pearson actual mean method

Age (year); 1 2 3 4 5

weight(kg);3 4 6 7 10

X Y XY (X-xm)2 (Y-ym)2
1 3 3 4 9
4 8 1 4
3 6 18 0 0
4 7 28 1 1
5 10 50 4 16
15 30 107 10 30

r= Σ(X-xm​) (Y- y​m)/ [ ​Σ​(X-xm​)2(Y- y​m)​2]0.5
= 17/17.32
= 0.9815

where xis means for 'X' and ym is mean for 'Y'
 

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