Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Time 1 hour 30 minutes
Paper
reference WST03/01
Mathematics
International Advanced Subsidiary/Advanced Level
Statistics S3
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Candidates may use any calculator permitted 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
•• Use black ink or ball‑point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• labelled.
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Values
working may not gain full credit.
from the statistical tables should be quoted in full. If a calculator is used
•Information
instead of the tables, the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The marks for each question are shown in brackets
are 7 questions in this question paper. The total mark for this paper is 75.
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
•• Check
Try to answer every question.
your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer
and any working underneath.
Turn over
*P72469A0128*
P72469A
©2022 Pearson Education Ltd.
Q:1/1/
,1. The table below shows the number of televised tournaments won and the total number
of tournaments won by the top 10 ranked darts players in 2020
Player’s rank Televised tournaments won Total tournaments won
1 55 135
2 7 33
3 5 17
4 2 14
5 4 9
6 2 5
7 9 36
8 0 15
9 3 3
10 0 13
Michael did not want to calculate Spearman’s rank correlation coefficient between
player’s rank and the rank in televised tournaments won because there would be
tied ranks.
(a) Explain how Michael could have dealt with these tied ranks.
(1)
Given that the largest number of total tournaments won is ranked number 1
(b) calculate the value of Spearman’s rank correlation coefficient between player’s rank
and the rank in total tournaments won.
(4)
(c) Stating your hypotheses and critical value clearly, test at the 5% level of
significance, whether or not there is evidence of a positive correlation between
player’s rank and the rank in total tournaments won for these darts players.
(4)
Michael does not believe that there is a positive correlation between player’s rank and
the rank in total number of tournaments won.
(d) Find the largest level of significance, that is given in the tables provided, which
could be used to support Michael’s claim.
You must state your critical value.
(1)
2
*P72469A0228*
, Question 1 continued
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3
*P72469A0328* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Time 1 hour 30 minutes
Paper
reference WST03/01
Mathematics
International Advanced Subsidiary/Advanced Level
Statistics S3
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Candidates may use any calculator permitted 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
•• Use black ink or ball‑point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• labelled.
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Values
working may not gain full credit.
from the statistical tables should be quoted in full. If a calculator is used
•Information
instead of the tables, the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The marks for each question are shown in brackets
are 7 questions in this question paper. The total mark for this paper is 75.
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
•• Check
Try to answer every question.
your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer
and any working underneath.
Turn over
*P72469A0128*
P72469A
©2022 Pearson Education Ltd.
Q:1/1/
,1. The table below shows the number of televised tournaments won and the total number
of tournaments won by the top 10 ranked darts players in 2020
Player’s rank Televised tournaments won Total tournaments won
1 55 135
2 7 33
3 5 17
4 2 14
5 4 9
6 2 5
7 9 36
8 0 15
9 3 3
10 0 13
Michael did not want to calculate Spearman’s rank correlation coefficient between
player’s rank and the rank in televised tournaments won because there would be
tied ranks.
(a) Explain how Michael could have dealt with these tied ranks.
(1)
Given that the largest number of total tournaments won is ranked number 1
(b) calculate the value of Spearman’s rank correlation coefficient between player’s rank
and the rank in total tournaments won.
(4)
(c) Stating your hypotheses and critical value clearly, test at the 5% level of
significance, whether or not there is evidence of a positive correlation between
player’s rank and the rank in total tournaments won for these darts players.
(4)
Michael does not believe that there is a positive correlation between player’s rank and
the rank in total number of tournaments won.
(d) Find the largest level of significance, that is given in the tables provided, which
could be used to support Michael’s claim.
You must state your critical value.
(1)
2
*P72469A0228*
, Question 1 continued
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3
*P72469A0328* Turn over