Candidate surname Other names
Centre Number Candidate Number
Paper
Statistics
� �
Advanced
PAPER 1: Data and Probability
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
• IfUsepencil
black ink or ball‑point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– 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.
Unless otherwise stated, inexact answers should be given to three
significant figures.
Unless otherwise stated, statistical tests should be carried out at the 5%
significance level.
•
A booklet ‘Statistical formulae and tables’ is provided.
There are 9 questions in this question paper. The total mark for this paper is 80.
– 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 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
, Answer ALL questions. Write your answers in the spaces provided.
1 The stem and leaf diagram below shows the number of points scored by the
Los Angeles Lakers basketball team in the first 19 games of the 2019–2020 season.
9|5 represents
Points Totals
95 points
9 5 5 9 (3)
10 2 3 4 9 (4)
11 2 4 4 8 9 (5)
12 0 0 0 2 3 5 (6)
13 0 (1)
[Source: www.basketball‑reference.com]
(a) Find the median and the interquartile range for these data.
(3)
Figure 1 shows a box and whisker diagram containing information about the number
of points scored by the Los Angeles Lakers basketball team in the first 19 games of the
2020–2021 season.
90 95 100 105 110 115 120 125 130 135 140
Figure 1
[Source: www.basketball‑reference.com]
2
■■■■
,Question 1 continued
(b) Compare the average and the spread of the points scored by the Los Angeles Lakers
in these two seasons.
(4)
(Total for Question 1 is 7 marks)
3
■■■■ Turn over
, 2 The figures below show the amount, in £ millions, of UK bilateral aid given to Pakistan
for each year of the years 2014 to 2019
305 331 402 463 374 266
[Source: dfid.gov.uk]
The table gives a summary of the amount, in £ millions, of UK bilateral aid given to
Ethiopia for each of the years 2014 to 2019
Mean Standard deviation
295.5 36.1
[Source: dfid.gov.uk]
By comparing the means and standard deviations of the bilateral aid given to each
country, Brian reaches a conclusion that the UK has given more consistent bilateral aid
to Pakistan than to Ethiopia, between 2014 and 2019
Assess the validity of this conclusion.
(5)
4
■■■■
Centre Number Candidate Number
Paper
Statistics
� �
Advanced
PAPER 1: Data and Probability
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
• IfUsepencil
black ink or ball‑point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– 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.
Unless otherwise stated, inexact answers should be given to three
significant figures.
Unless otherwise stated, statistical tests should be carried out at the 5%
significance level.
•
A booklet ‘Statistical formulae and tables’ is provided.
There are 9 questions in this question paper. The total mark for this paper is 80.
– 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 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
, Answer ALL questions. Write your answers in the spaces provided.
1 The stem and leaf diagram below shows the number of points scored by the
Los Angeles Lakers basketball team in the first 19 games of the 2019–2020 season.
9|5 represents
Points Totals
95 points
9 5 5 9 (3)
10 2 3 4 9 (4)
11 2 4 4 8 9 (5)
12 0 0 0 2 3 5 (6)
13 0 (1)
[Source: www.basketball‑reference.com]
(a) Find the median and the interquartile range for these data.
(3)
Figure 1 shows a box and whisker diagram containing information about the number
of points scored by the Los Angeles Lakers basketball team in the first 19 games of the
2020–2021 season.
90 95 100 105 110 115 120 125 130 135 140
Figure 1
[Source: www.basketball‑reference.com]
2
■■■■
,Question 1 continued
(b) Compare the average and the spread of the points scored by the Los Angeles Lakers
in these two seasons.
(4)
(Total for Question 1 is 7 marks)
3
■■■■ Turn over
, 2 The figures below show the amount, in £ millions, of UK bilateral aid given to Pakistan
for each year of the years 2014 to 2019
305 331 402 463 374 266
[Source: dfid.gov.uk]
The table gives a summary of the amount, in £ millions, of UK bilateral aid given to
Ethiopia for each of the years 2014 to 2019
Mean Standard deviation
295.5 36.1
[Source: dfid.gov.uk]
By comparing the means and standard deviations of the bilateral aid given to each
country, Brian reaches a conclusion that the UK has given more consistent bilateral aid
to Pakistan than to Ethiopia, between 2014 and 2019
Assess the validity of this conclusion.
(5)
4
■■■■
