Question
Calculate the co-efficient of rank correlation from the following data.
|
X |
48 |
33 |
40 |
9 |
16 |
16 |
65 |
25 |
15 |
57 |
|
Y |
13 |
13 |
24 |
6 |
15 |
14 |
20 |
9 |
6 |
19 |
Solution
|
X |
Y |
R1 |
R2 |
D(R1 – R2) |
D2 |
|
48 |
13 |
8 |
5.5 |
+2.5 |
6.25 |
|
33 |
13 |
6 |
5.5 |
+0.5 |
0.25 |
|
30 |
24 |
7 |
10 |
–3.0 |
9.00 |
|
9 |
6 |
1 |
2.5 |
–1.5 |
2.25 |
|
16 |
15 |
3.5 |
7 |
–3.5 |
12.25 |
|
16 |
14 |
3.5 |
1 |
+2.5 |
6.25 |
|
65 |
20 |
1 |
9 |
+1.0 |
1.00 |
|
25 |
9 |
5 |
4 |
+1.0 |
1.00 |
|
15 |
6 |
7 |
2.5 |
–0.5 |
0.25 |
|
57 |
19 |
9 |
8 |
+1.0 |
1.00 |
|
Σ D2 = 39.5 |
