WAEC 2018 · Paper 2 · Q6

Geography 6 5 4 3 2 7 1
Economics 7 6 2 4 1 5 3

The table shows the ranks of marks scored by 7 candidates in Geography and Economics tests.

  1. (a)

    Calculate the Spearman's rank correlation coefficient (4 d.p.).

Worked solution (try it first)
  1. The table already gives ranks.
  2. dd = Geography − Economics: −1,−1,2,−1,1,2,−2-1, -1, 2, -1, 1, 2, -2.
  3. ∑d2=1+1+4+1+1+4+4=16\sum d^2 = 1 + 1 + 4 + 1 + 1 + 4 + 4 = 16.
  4. ρ=1−6×167×48\rho = 1 - \dfrac{6 \times 16}{7 \times 48}
    =1−96336= 1 - \dfrac{96}{336}
    =57= \dfrac57
    ≈0.7143\approx 0.7143.

Report a problem with this question