The following table show 10 students, arranged in alphabetical order, were ranked according to achievements in both the laboratory and lecture of a biology course.
| 5 |
1 |
6 |
4 |
10 |
7 |
2 |
9 |
3 |
8 |
Laboratory (X) |
| 6 |
2 |
4 |
3 |
7 |
8 |
1 |
10 |
5 |
9 |
Laboratory (Y) |
Find the rank correlation coefficient (ρ).
X
Y
Rank of X
Rank of Y
8
9
3
2
-1
1
3
5
8
6
-2
4
9
10
2
1
-1
1
2
1
9
10
1
1
7
8
4
3
-1
1
10
7
1
4
3
9
4
3
7
8
1
1
6
4
5
7
2
4
1
2
10
9
-1
1
5
6
6
5
-1
1
24
Then:
ρ=1-(6∑d^2 )/n(n^2-1) =1-6(24)/10(100-1) =0.85
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