From the following data calculate the rank
correlation coefficient after making adjustment for
tied ranks.
X : 48 33 40 9 16 16 65 24 16 57
Y : 13 13 24 6 15 4 20 9 6 19
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X
Rank
Y
Rank
∣d∣
d
2
48
33
40
9
16
16
65
25
16
57
3
5
4
10
7
7
1
6
7
2
13
13
24
6
15
4
20
9
6
19
5
5
1
8
4
10
2
7
8
3
2
0
3
2
3
3
1
1
1
1
4
0
9
4
9
9
1
1
1
1
n=10,∑d
2
=39
r=1−
n(n
2
−1)
6∑d
2
=1−
10(10
2
−1)
6×39
=1−
990
234
=0.76
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