Question
Calculate the co-efficient of rank correlation from the following data:
|
Marks in Maths |
29 |
32 |
53 |
47 |
45 |
32 |
70 |
45 |
70 |
53 |
|
Marks in Hindi |
36 |
60 |
72 |
48 |
72 |
35 |
67 |
67 |
75 |
31 |
Solution
Calculation of co-efficient of Rank correlation
|
X |
Y |
R1 |
R2 |
D(R1– R2) |
D2 |
|
29 |
36 |
10 |
7.0 |
+3.0 |
9.00 |
|
32 |
60 |
8.5 |
6.0 |
+2.5 |
6.25 |
|
53 |
72 |
3.5 |
2.5 |
+1.0 |
1.00 |
|
47 |
48 |
5.0 |
8.0 |
+3.0 |
9.00 |
|
45 |
72 |
65 |
2.5 |
+4.0 |
16.00 |
|
32 |
35 |
8.5 |
9.0 |
–0.5 |
0.25 |
|
70 |
67 |
1.5 |
4.5 |
–3.0 |
9.00 |
|
45 |
67 |
6.5 |
4.5 |
+2.0 |
4.00 |
|
70 |
75 |
1.5 |
1.0 |
+0.5 |
0.25 |
|
53 |
31 |
3.5 |
19.0 |
–6.5 |
42.25 |
|
Σ D2 = 97.00 |
