The marks scored by 4 students in Mathematics and Physics are ranked as shown in the table below
Calculate the Spearmann's rank correlation coefficient.
| Mathematics | 3 | 4 | 2 | 1 |
| Physics | 4 | 3 | 1 | 2 |
Calculate the Spearmann's rank correlation coefficient.
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Correct Answer: Option C
Explanation:
| Maths (x) | Rank \(r_{x}\) | Physics (y) | Rank \(r_{y}\) | \(d = |r_{x} - r_{y}|\) | \(d^{2}\) |
| 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 |