Question 4 - A-Level Maths

Exam Board	OCR
Module	S1 (Statistics 1)
Year	2012
Session	January
Topic	Hypothesis test of Spearman’s rank correlation coefficien

The table gives the heights and masses of 5 people.
Person \(A\) \(B\) \(C\) \(D\) \(E\)
Height (m) 1.72 1.63 1.77 1.68 1.74
Mass (kg) 75 62 64 60 70
Calculate Spearman's rank correlation coefficient.
In an art competition the value of Spearman's rank correlation coefficient, \(r _ { s }\), calculated from two judges’ rankings was 0.75 . A late entry for the competition was received and both judges ranked this entry lower than all the others. By considering the formula for \(r _ { s }\), explain whether the new value of \(r _ { s }\) will be less than 0.75 , equal to 0.75 , or greater than 0.75 .