Given that \(n = 10\) and \(\sum d^{2} = 20\), calculate the Spearman's rank correlation
FURTHER MATHEMATICS
WAEC 2016
Given that \(n = 10\) and \(\sum d^{2} = 20\), calculate the Spearman's rank correlation coefficient.
- A. 0.121
- B. 0.733
- C. 0.879
- D. 0.979
Correct Answer: C. 0.879
Explanation
The Spearman's correlation coefficient \(\rho\) is given as:
\(\rho = 1 - \frac{6\sum d^{2}}{n(n^{2} - 1)}\)
= \(\rho = 1 - \frac{6 \times 20}{10(10^{2} - 1)}\)
= \(1 - \frac{120}{990} = \frac{870}{990}\)
= \(0.879\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *