Statistics: Correlation · Class 11 · CBSE · Commerce Economics

For five pairs of observations, the ranks of X are 1, 2, 3, 4, 5 and the corresponding ranks of Y are 2, 1, 3, 5, 4. Using Spearman's rank correlatio…

Practice question from Statistics: Correlation (Class 11 · CBSE · Commerce Economics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-C50D4B

For five pairs of observations, the ranks of X are 1, 2, 3, 4, 5 and the corresponding ranks of Y are 2, 1, 3, 5, 4. Using Spearman's rank correlation formula, what is the coefficient of rank correlation?

  1. A.0.20
  2. B.0.60
  3. C.0.80Correct answer
  4. D.1.00

Solution

The squared rank differences are 1, 1, 0, 1, and 1, so ∑d2=4\sum d^2=4. Therefore, rs=1−6(4)5(52−1)=0.80r_s=1-\frac{6(4)}{5(5^2-1)}=0.80.

More from Statistics: Correlation

All of Statistics: Correlation

Practise more Economics

Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.

Start practising free

Free to start · No credit card needed