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GCSE
STATISTICS
Higher Tier Paper 1
H
Thursday 11 June 2020 Afternoon Time allowed: 1 hour 45 minutes
Materials For Examiner’s Use
For this paper you must have:
Question Mark
a calculator
mathematical instruments. 1
2
Instructions
Use black ink or black ball-point pen. Draw diagrams in pencil. 3
Fill in the boxes at the top of this page. 4
Answer all questions.
You must answer the questions in the spaces provided. Do not write 5
outside the box around each page or on blank pages. 6
If you need extra space for your answer(s), use the lined pages at the end of
7
this book. Write the question number against your answer(s).
Do all rough work in this book. Cross out any work you do not want 8
to be marked. 9
Information 10
The marks for questions are shown in brackets. 11
The maximum mark for this paper is 80.
12
You may ask for more answer paper and graph paper. These must be
tagged securely to this answer booklet. 13
14
15
16
TOTAL
(JUN2083821H01)
G/TI/Jun20/E5 8382/1H
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The table shows the index numbers for the cost of an item in different years.
Year 2016 2017 2018 2019
Index number 95 100 90 115
Circle the base year.
[1 mark]
2016 2017 2018 2019
____
1
2 Here are some summary measures for a distribution.
Smallest value 2nd decile Largest value
11 35 161
The difference between the 2nd and 8th deciles is 30% less than the range.
Circle the value of the 8th decile.
[1 mark]
80 105 140 155
____
1
3 The geometric mean of 3 and x is 6
Circle the value of x.
[1 mark]
2 4 9 12
____
1
(02)
G/Jun20/8382/1H
, 3
Do not write
outside the
box
4 Here are four scatter diagrams.
Diagram A Diagram B
Diagram C Diagram D
Circle the letter of the scatter diagram for which the Pearson’s product moment
correlation coefficient is −1
[1 mark]
A B C D
____
1
Turn over for the next question
Turn over 8
(03)
G/Jun20/8382/1H
, 4
Do not write
outside the
box
5 Marcus is planning a Driver Safety course.
He wants to give the people attending the course a questionnaire to complete.
5 (a) Marcus wants to know how far each person usually drives in a week.
Write a closed question that Marcus could ask to find out this information.
Include a response section.
[3 marks]
5 (b) Marcus also wants to know whether people regularly drive faster than the speed limit.
He plans to collect the information using this method.
He asks each person to secretly throw a dice.
The person then answers as follows:
if the person gets an odd number, they answer ‘Yes’
if the person gets an even number, they truthfully answer the question,
‘Do you regularly drive faster than the speed limit?’
5 (b) (i) Why does Marcus use this method?
[1 mark]
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