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Question 3

From Math Applications HL Paper 1 (May 2025, TZ2)

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  1. [Maximum mark: 6]

Two judges, Brett and Clarence, rank the skill levels of eight sheepdogs in a competition. The sheepdogs are labelled A to H and the judges rank the dogs as shown in the table.

Table showing the ranks given by two judges, Brett and Clarence, to eight sheepdogs (A-H).
Table showing the ranks given by two judges, Brett and Clarence, to eight sheepdogs (A-H).

(a) Write down the rank that Brett awards sheepdog B. [1]

(b) Calculate Spearman’s rank correlation coefficient for these data. [4]

(c) Comment on your answer to part (b) in terms of the ranks awarded by Brett and Clarence. [1]