The marks scored by 4 students in Mathematics and Physics...
The marks scored by 4 students in Mathematics and Physics are ranked as shown in the table below
| Mathematics | 3 | 4 | 2 | 1 |
| Physics | 4 | 3 | 1 | 2 |
Calculate the Spearmann's rank correlation coefficient.
0.2
0.5
0.6
0.7
Correct answer is C
| Maths (x) | Rank rx | Physics (y) | Rank ry | d=|rx−ry| | d2 |
| 3 | 2 | 4 | 1 | 1 | 1 |
| 4 | 1 | 3 | 2 | 1 | 1 |
| 2 | 3 | 1 | 4 | 1 | 1 |
| 1 | 4 | 2 | 3 | 1 | 1 |
| Total | 4 |
ρ=1−6∑d2n(n2−1)
1−6×44(42−1)=1−2460
= 1−0.4=0.6
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