GCSE
STATISTICS
Higher Tier Paper 2
Practice paper Time allowed: 1 hour 45 minutes
Materials
Instructions
• Use black ink or black ball-point pen. Draw diagrams in pencil.
• Fill in the boxes at the top of the pa
...
GCSE
STATISTICS
Higher Tier Paper 2
Practice paper Time allowed: 1 hour 45 minutes
Materials
Instructions
• Use black ink or black ball-point pen. Draw diagrams in pencil.
• Fill in the boxes at the top of the page.
• Answer all questions.
• You must answer the questions in the spaces provided.
• Do not write outside the box around each page or on blank pages.
• Do all rough work in this book. Cross through any work you do not want
to be marked.
Information
• The marks for questions are shown in brackets.
• The maximum mark for this paper is 80.
• You may ask for more answer paper and graph paper.
These must be tagged securely to this answer book.
For this paper you must have:
• a calculator
• mathematical instruments
• the AQA data book for this paper
PRACTICE PAPER
Please write clearly, in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
H
2
Do not write
outside the
Answer box all questions in the spaces provided.
1 Marion is the fashion designer for a major high street clothes retailer.
She wants to contact a random sample of the retailer’s stores throughout the UK to
find out how the latest range of her clothes is selling.
What is the population for her survey?
Tick one box.
[1 mark]
All the stores she samples
All the clothes in the stores
The number of stores she samples
All the retailer’s stores
2 The price of a block of butter in 2015 was half the price it was in 2017.
Taking 2015 as the base year, what is the index number for the price of butter in 2017?
Circle your answer.
[1 mark]
0.5 50 150 200
8382/2H
3
Do not write
outside the
3 A normal distribution has mean 100 and standard deviation 15. box
Circle the letter of the diagram that shows this distribution.
[1 mark]
4 Which type of data can be displayed as a bar line graph?
Circle your answer.
[1 mark]
Continuous Discrete Qualitative Bivariate
Turn over for the next question
Practice paper Version 1.0 Turn over
4
Do not write
outside the
5 A company makes rocking horses. box
The company records how many rocking horses it sells each month.
The table summarises the monthly sales for the last 36 months.
Lower quartile 3.5
Median 6
Upper quartile 9
Maximum value 12
Range 11
Show this information as a box plot.
[4 marks]
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5
Do not write
outside the
6 Lara is thinking of opening a coffee shop in a village high street. box
In order to apply for a loan, she carries out some research to find out how likely people
in the area might be to use the coffee shop.
She designs a questionnaire and distributes it to all houses in the village.
6 (a) Lara uses a closed question to ask people their age.
Explain why this is a sensible way to gather information about people’s age.
[1 mark]
6 (b) One of the questions she includes on the questionnaire is:
‘How often will you use the coffee shop?’
Why does the wording of the question make the responses hard to analyse?
[1 mark]
6 (c) What could Lara have done to check that her questionnaire would be effective before
distributing it to the whole village?
[1 mark]
Practice paper Version 1.0 Turn over
6
Do not write
outside the
7 The table shows median annual earnings (£) for full box -time employees in the UK between
2012 and 2015.
2011 2012 2013 2014 2015
United Kingdom 26 095 26 472 27 011 27 215 27 615
England 26 488 26 822 27 372 27 485 27 841
North East 23 250 23 781 24 113 24 904 25 347
North West 24 167 24 603 25 111 25 262 25 667
Yorkshire and The
Humber 24 119 24 288 24 933 24 999 25 194
East Midlands 24 002 24 626 24 918 25 000 25 003
West Midlands 24 291 24 573 25 328 24 963 25 682
East 25 953 26 145 26 514 26 817 27 300
London 34 396 34 883 35 173 35 034 35 303
South East 27 881 28 175 28 315 28 607 29 031
South West 24 306 24 581 25 242 25 585 25 950
Wales 23 397 23 617 24 103 24 453 24 869
Scotland 25 291 25 780 26 489 27 038 27 687
Northern Ireland 23 034 23 944 23 952 24 491 25 719
[Source: Annual Survey of Hours and Earnings, 2016, Office for National Statistics]
7 (a) Find the difference between median annual earnings in Wales and London in 2015.
[1 mark]
Answer
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7
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7 box (b) Compare how median annual earnings in Northern Ireland have changed over this period
with median annual earnings for the UK as a whole.
[3 marks]
Question 7 continues on the next page
Practice paper Version 1.0 Turn over
8
Do not write
outside the
7 box (c) The bar chart shows average house prices (£000s) in 2015 in different
regions of the UK.
[Source: House Price Index, UK, August 2015, Office for National Statistics]
Michael says that houses in the East Midlands are more affordable than those in Scotland.
Use the data in the bar graph and the data in the table to comment on this conclusion.
[2 marks]
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9
Do not write
outside the
box
There are no questions printed on this page
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
Practice paper Version 1.0 Turn over
10
Do not write
outside the
8 80 children attend a music summer school. box
Each child takes part in one activity.
Each child can choose to take part in rock band or orchestra or wind band.
The table shows the number of children choosing some of the activities.
Activity
Total
Rock band Orchestra Wind band
Number of
boys 15 9 30
Number of
girls 50
Total 30 80
8 (a) There were twice the number of girls choosing wind band as there were boys choosing
wind band.
Complete the table.
[3 marks]
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11
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outside the
8 box (b) One of the 80 children is selected at random.
G is the event ‘The selected pupil is a girl’
B is the event ‘The selected pupil is a boy’
W is the event ‘The selected pupil takes part in wind band’
R is the event ‘The selected pupil takes part in rock band’
8 (b)(i) Find P(B and W).
[1 mark]
8 (b)(ii) Find P(R | G).
[2 marks]
8 (b)(iii) Are boys and girls equally likely to choose to play in the rock band?
Tick one box.
Yes No
Give a reason for your answer.
[2 marks]
Practice paper Version 1.0 Turn over
12
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outside the
9 Jenny is a wildlife officer. box
She plans a survey of a wildlife area, looking for slow-worms (a type of lizard).
She takes a plan of a wildlife area and divides the area into 81 squares.
She draws this choropleth map to show how many slow-worms she finds in each square
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