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WAEC Further Mathematics 2018 Question 31

Question 31

Statistics

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 Spearman's rank correlation coefficient.

  1. A.0.2
  2. B.0.5
  3. C.0.6
  4. D.0.7
Show the answer and explanation

Answer: C (0.6)

Explanation

Differences −1, 1, 1, −1, so Σd² = 4. ρ = 1 − 6(4)/(4 × 15) = 1 − 0.4 = 0.6.