Question 2 - A-Level Maths

Exam Board	OCR
Module	S1 (Statistics 1)
Year	2013
Session	June
Topic	Hypothesis test of Spearman’s rank correlation coefficien

The table shows the times, in minutes, spent by five students revising for a test, and the grades that they achieved in the test.
Student Ann Bill Caz Den Ed
Time revising 0 60 35 100 45
Grade C D E B A
Calculate Spearman's rank correlation coefficient.
The table below shows the ranks given by two judges to four competitors.
Competitor P Q R S
Judge 1 rank 1 2 3 4
Judge 2 rank 3 2 1 4
Spearman's rank correlation coefficient for these ranks is denoted by \(r _ { s }\). With the same set of ranks for Judge 1, write down a different set of ranks for Judge 2 which gives the same value of \(r _ { s }\). There is no need to find the value of \(r _ { s }\).