1. Mean, Median, Mode & Range – Higher – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. AQA Higher: November 2017 Paper 1, Q20
In two weeks, the number of hours of revision done
by 10 students are 1
In two weeks, the number of hours of revision done
by 10 students are 6 8 4 7 52 1 9 5 11 3 6 8 4 7 52 1 9 5 11 3
Which is the appropriate average to use in this situation?
Tick a box.
Which is the appropriate average to use in this situation?
Tick a box.
Mean
Median
Mode
Mean
Median
Mode
Give one reason for each of the other two averages
as to why they are not appropriate.
Give one reason for each of the other two averages
as to why they are not appropriate.
[2 marks]
[2 marks]
Reason 1
Reason 1
Reason 2
Reason 2
AQA Higher: November 2017 Paper 1, Q20
AQA Higher: November 2017 Paper 1, Q20 1
In two weeks, the number of hours of revision done
by 10 students are 1
In two weeks, the number of hours of revision done
by 10 students are 6 8 4 7 52 1 9 5 11 3 6 8 4 7 52 1 9 5 11 3
Which is the appropriate average to use in this situation?
Tick a box.
Which is the appropriate average to use in this situation?
Tick a box.
Mean
Median
Mode
Mean
Median
Mode
Give one reason for each of the other two averages
as to why they are not appropriate.
Give one reason for each of the other two averages
as to why they are not appropriate.
[2 marks]
[2 marks]
Reason 1
Reason 1
Reason 2
Reason 2

5. AQA Higher: June 2017 Paper 3, Q13 AQA Higher: June 2017 Paper 3, Q13
In a class of 24 students
the mean height of the 16 girls is 1.41 metres
the mean height of all 24 students is 1.48 metres.
Work out the mean height of the boys. 1
In a class of 24 students
the mean height of the 16 girls is 1.41 metres
the mean height of all 24 students is 1.48 metres.
Work out the mean height of the boys.
[4 marks]
[4 marks]
Answer
metres
Answer
metres
AQA Higher: June 2017 Paper 3, Q13
AQA Higher: June 2017 Paper 3, Q13 1
In a class of 24 students
the mean height of the 16 girls is 1.41 metres
the mean height of all 24 students is 1.48 metres.
Work out the mean height of the boys. 1
In a class of 24 students
the mean height of the 16 girls is 1.41 metres
the mean height of all 24 students is 1.48 metres.
Work out the mean height of the boys.
[4 marks]
[4 marks]
Answer
metres
Answer
metres

7. AQA Higher: May 2017 Paper 1, Q6 AQA Higher: May 2017 Paper 1, Q6 1
The table shows information about the times
for 10 people to complete a task. 1
The table shows information about the times
for 10 people to complete a task.
Time, t (minutes)
Frequency
0 < t ⩽ 30 5
30 < t ⩽ 60 4
60 < t ⩽ 90 1
Time, t (minutes)
Frequency
0 < t ⩽ 30 5
30 < t ⩽ 60 4
60 < t ⩽ 90 1
These statements are about the mean and range of the actual times.
Tick the correct box for each statement.
These statements are about the mean and range of the actual times.
Tick the correct box for each statement.
[4 marks]
[4 marks]
True
False
True
False
The mean could be less than 30 minutes
The mean could be less than 30 minutes
The mean could be more than 60 minutes
The mean could be more than 60 minutes
The mean could be more than 30 minutes
The mean could be more than 30 minutes
The range could be more than 90 minutes
The range could be more than 90 minutes
The range could be less than 30 minutes
The range could be less than 30 minutes
The range could be more than 40 minutes
The range could be more than 40 minutes

9. AQA Higher: May 2018 Paper 1, Q9 AQA Higher: May 2018 Paper 1, Q9
The range of a set of numbers is
The smallest number is −3 9 10
Work out the largest number.
The range of a set of numbers is
The smallest number is −3 9 10
Work out the largest number. 1 1
[3 marks]
[3 marks]
Answer
Answer
AQA Higher: May 2018 Paper 1, Q9
AQA Higher: May 2018 Paper 1, Q9
The range of a set of numbers is
The smallest number is −3 9 10
Work out the largest number.
The range of a set of numbers is
The smallest number is −3 9 10
Work out the largest number. 1 1
[3 marks]
[3 marks]
Answer
Answer

13. AQA Higher: May 2017 Paper 1, Q6 1
The table shows information about the times
for 10 people to complete a task.
Time, t (minutes)
Frequency
0 < t ⩽ 30 5
30 < t ⩽ 60 4
60 < t ⩽ 90 1
These statements are about the mean and range of the actual times.
Tick the correct box for each statement.
[4 marks]
True
False
The mean could be less than 30 minutes
The mean could be more than 60 minutes
The mean could be more than 30 minutes
The range could be more than 90 minutes
The range could be less than 30 minutes
The range could be more than 40 minutes

17. AQA Higher: May 2017 Paper 1, Q6 1
The table shows information about the times
for 10 people to complete a task.
Time, t (minutes)
Frequency
0 < t ⩽ 30 5
30 < t ⩽ 60 4
60 < t ⩽ 90 1
These statements are about the mean and range of the actual times.
Tick the correct box for each statement.
[4 marks]
True
False
The mean could be less than 30 minutes
The mean could be more than 60 minutes
The mean could be more than 30 minutes
The range could be more than 90 minutes
The range could be less than 30 minutes
The range could be more than 40 minutes

19. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
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