surname names
Number Number
Afternoon
Further Mathematics � �
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled.
– there may be more space than you need.
You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
• The total mark for this part of the examination is 40. There are 4 questions.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1. In a singing competition, two judges ranked the vocal quality of each of 8 singers.
The singers are labelled A to H and the table below shows the ranks given by
each judge.
Rank 1 2 3 4 5 6 7 8
Judge 1 C B A G E F H D
Judge 2 B A C G D E F H
(a) Calculate the Spearman’s rank correlation coefficient between the judges’ ranks.
(4)
Each judge also gave a mark out of 20 for each singer’s vocal range.
Singer A B C D E F G H
Judge 1 18 13 16 12 11 7 13 6
Judge 2 15 17 14 14 9 8 12 8
(b) Without carrying out any further calculations, explain how the Spearman’s
rank correlation coefficient between the judges’ marks for vocal range should
be calculated.
(2)
2
■■■■
, Question 1 continued
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
Number Number
Afternoon
Further Mathematics � �
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled.
– there may be more space than you need.
You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
• The total mark for this part of the examination is 40. There are 4 questions.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1. In a singing competition, two judges ranked the vocal quality of each of 8 singers.
The singers are labelled A to H and the table below shows the ranks given by
each judge.
Rank 1 2 3 4 5 6 7 8
Judge 1 C B A G E F H D
Judge 2 B A C G D E F H
(a) Calculate the Spearman’s rank correlation coefficient between the judges’ ranks.
(4)
Each judge also gave a mark out of 20 for each singer’s vocal range.
Singer A B C D E F G H
Judge 1 18 13 16 12 11 7 13 6
Judge 2 15 17 14 14 9 8 12 8
(b) Without carrying out any further calculations, explain how the Spearman’s
rank correlation coefficient between the judges’ marks for vocal range should
be calculated.
(2)
2
■■■■
, Question 1 continued
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
