| Exam Board | OCR |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2005 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Hypothesis test of Spearman’s rank correlation coefficien |
| Type | Calculate and interpret coefficient |
| Difficulty | Moderate -0.8 This is a straightforward application of Spearman's rank correlation coefficient with clear data and no complications (no ties requiring adjustment). Part (i) requires ranking two sets of data and applying the standard formula, while part (ii) asks for basic interpretation. This is a routine textbook exercise testing recall and mechanical application rather than problem-solving or insight, making it easier than average. |
| Spec | 5.08e Spearman rank correlation5.08f Hypothesis test: Spearman rank |
| Personality | \(A\) | \(B\) | \(C\) | \(D\) | \(E\) | \(F\) | \(G\) |
| Commentator I | 73 | 76 | 78 | 65 | 86 | 82 | 91 |
| Commentator II | 77 | 78 | 79 | 80 | 86 | 89 | 95 |
3 Two commentators gave ratings out of 100 for seven sports personalities. The ratings are shown in the table below.
\begin{center}
\begin{tabular}{ | l | c c c c c c c | }
\hline
Personality & $A$ & $B$ & $C$ & $D$ & $E$ & $F$ & $G$ \\
\hline
Commentator I & 73 & 76 & 78 & 65 & 86 & 82 & 91 \\
Commentator II & 77 & 78 & 79 & 80 & 86 & 89 & 95 \\
\hline
\end{tabular}
\end{center}
(i) Calculate Spearman's rank correlation coefficient for these ratings.\\
(ii) State what your answer tells you about the ratings given by the two commentators.
\hfill \mbox{\textit{OCR S1 2005 Q3 [6]}}