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Examen

Pearson Edexcel Level 3 GCE. Statistics Advanced PAPER 1: Data and Probability

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Pearson Edexcel Level 3 GCE. Statistics Advanced PAPER 1: Data and Probability

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Please check the examination details below before entering your candidate information
Candidate surname Other names


Centre Number Candidate Number




Pearson Edexcel Level 3 GCE
Wednesday 5 June 2024
Morning (Time: 2 hours) Paper
reference 9ST0/01
Statistics
 


Advanced
PAPER 1: Data and Probability

You must have: Total Marks
Statistical formulae and tables booklet, Calculator



Candidates may use any calculator allowed by Pearson regulations.
Calculators must not 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,

• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are

• – there may
labelled.
Answer the questions in the spaces provided

• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.

• significant figures.
may not gain full credit.
Unless otherwise stated, inexact answers should be given to three

• Unless otherwise stated, statistical tests should be carried out at the 5%
significance level.
Information
•• AThere
booklet ‘Statistical formulae and tables’ is provided.

• – use this asfora guide
are 8 questions in this question paper. The total mark for this paper is 80.
The marks each question are shown in brackets
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


P75704RA
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/
*P75704RA0120*

, Answer ALL questions. Write your answers in the spaces provided.
1 The Olympic Games are held every 4 years.




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
The least squares regression line for the winning times in the men’s 100 metre races for
each Olympic Games held after 1900 was calculated.
The calculated equation, where t is the winning time in seconds, and n is the number of
years after 1900 that the time was achieved, is

t = 10.878 – 0.0106n
[Source: https:www.liveabout.com/100‑meter‑mens‑olympic‑medalists‑3259179]

(a) Interpret the value of 0.0106 in context.
(2)
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_____________________________________________________________________________________
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No Olympic Games were held in 1940 because of the Second World War.
(b) Estimate what the winning time for the men’s 100 metre race in 1940 would have
been, had it been run.
Give your answer correct to two decimal places.
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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(c) Explain why the least squares regression line may be unsuitable for predicting future
winning times in the Olympic Games, men’s 100 metre races.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 5 marks)

2
*P75704RA0220* 

, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA





BLANK PAGE




*P75704RA0320*
3
Turn over

, 2 Leona is analysing the total number of goals scored in football matches. She estimated
the probability of a certain number of total goals being scored by the two teams in a
match and displayed them in a table.




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Leona’s table is shown in Figure 1


Total goals 0 1 2 3 4 5 6

Probability 0.1 0.15 0.3 0.25 0.1 0.05 0.05


Figure 1
A match where both teams score the same number of goals is called a draw.
(a) Using Leona’s table,
(i) explain why the probability of a draw is at least 0.1
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(ii) find the highest possible probability of a match ending in a draw.
(2)
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_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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_____________________________________________________________________________________
_____________________________________________________________________________________
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(b) State one limitation of using Leona’s table, given in Figure 1
(1)
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_____________________________________________________________________________________
_____________________________________________________________________________________




4



*P75704RA0420* 

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Subido en
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