OCR S1 2009 June — Question 2 4 marks

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2009
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicHypothesis test of Spearman’s rank correlation coefficien
TypeCalculate Spearman's coefficient only
DifficultyModerate -0.8 This is a straightforward application of Spearman's rank correlation coefficient formula with minimal calculation. The question explicitly tells you that only 2 dancers differ by 1 rank position while 5 are identical, making the computation of Σd² trivial (just 1² + 1² = 2). This requires only formula recall and basic arithmetic, making it easier than average.
Spec5.08e Spearman rank correlation

Two judges placed 7 dancers in rank order. Both judges placed dancers A and B in the first two places, but in opposite orders. The judges agreed about the ranks for all the other 5 dancers. Calculate the value of Spearman's rank correlation coefficient. [4]

Two judges placed 7 dancers in rank order. Both judges placed dancers A and B in the first two places, but in opposite orders. The judges agreed about the ranks for all the other 5 dancers. Calculate the value of Spearman's rank correlation coefficient. [4]

\hfill \mbox{\textit{OCR S1 2009 Q2 [4]}}