Edexcel FS2 AS 2020 June — Question 2

Exam BoardEdexcel
ModuleFS2 AS (Further Statistics 2 AS)
Year2020
SessionJune
TopicHypothesis test of Spearman’s rank correlation coefficien
  1. Mary, Jahil and Dawn are judging the cakes in a village show. They have 5 features to consider and each feature is awarded up to 5 points. The total score the judges gave each cake are given in the table below.
CakeA\(B\)C\(D\)\(E\)\(F\)\(G\)\(H\)I
Mary19172310211512814
Jahil221821102420161215
Dawn911618915132013
  1. Calculate Spearman's rank correlation coefficient between Mary's scores and Jahil’s scores.
  2. Calculate Spearman's rank correlation coefficient between Jahil's scores and Dawn's scores. The judges discussed their interpretation of the points system and agreed that the first prize should go to cake \(C\).
  3. Explain how different interpretations of the points system could give rise to the results in part (a) and part (b).
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