1. Box Plots – Higher – GCSE Questions
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 a variety of 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. GCSE GCSE Edexcel Higher: November 2017 Paper 1, Q12
The table shows information about the heights, in cm, of a group
of Year 10 boys. 1
The table shows information about the heights, in cm, of a group
of Year 10 boys.
height (cm)
least height
152
median
163
lower quartile
158
interquartile range 8
range 22
height (cm)
least height
152
median
163
lower quartile
158
interquartile range 8
range 22
Draw a box plot for this information.
Draw a box plot for this information.
Year 10
Year 10
130
140
150
160
170
180
130
140
150
160
170
180
height (cm)
(3)
height (cm)
(3)
The box plot below shows information about the heights, in cm, of a group
of Year 7 boys.
The box plot below shows information about the heights, in cm, of a group
of Year 7 boys.
Year 7
Year 7
130
140
150
160
170
180
130
140
150
160
170
180
height (cm)
height (cm)
(b) Compare the distribution of heights of the Year 7 boys with the
distribution of heights of the Year 10 boys.
(b) Compare the distribution of heights of the Year 7 boys with the
distribution of heights of the Year 10 boys.
(2)
(2)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

5. GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q9
The box plot shows information about the distribution of the amounts
of money spent by some female students on their holidays 1
The box plot shows information about the distribution of the amounts
of money spent by some female students on their holidays
Female
students
Female
students
100
200
300
400
500
600
700
800
900
1000
100
200
300
400
500
600
700
800
900
1000
Money spent (£)
Money spent (£)
Work out the interquartile range for the amounts of money spent by
these female students.
Work out the interquartile range for the amounts of money spent by
these female students.
(2)
(2)
The table below shows information about the distribution of the amounts
of money spent by some male students on their holidays.
The table below shows information about the distribution of the amounts
of money spent by some male students on their holidays.
Smallest
Lower
quartile
Median
Upper
Largest
Money spent
(£) 70
220
320
370
540
Smallest
Lower
quartile
Median
Upper
Largest
Money spent
(£) 70
220
320
370
540
(b) On the grid above, draw a box plot for the information in the table.
(2)
(b) On the grid above, draw a box plot for the information in the table.
(2)
Jack says,
“The box plots show that the male students spent more money
than the male students.”
(c) Is Jack correct?
Give a reason for your answer.
Jack says,
“The box plots show that the male students spent more money
than the male students.”
(c) Is Jack correct?
Give a reason for your answer.
(1)
(1)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

7. GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q10
This table shows some information about the heights of 60 boys. 1
This table shows some information about the heights of 60 boys.
Least height
135 cm
Greatest height
182 cm
Lower quartile
145 cm
Upper quartile
166 cm
Median
154 cm
Least height
135 cm
Greatest height
182 cm
Lower quartile
145 cm
Upper quartile
166 cm
Median
154 cm
(a) Draw a box plot to represent this information.
(a) Draw a box plot to represent this information.
130
140
150
160
170
180
190
130
140
150
160
170
180
190
height (cm)
(3)
height (cm)
(3)
(b) Work out an estimate for the number of these boys with a height
between 145 cm and 182 cm.
(b) Work out an estimate for the number of these boys with a height
between 145 cm and 182 cm.
(2)
(2)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

9. GCSE Edexcel Higher: November 2017 Paper 1, Q12
The table shows information about the heights, in cm, of a group
of Year 10 boys.
height (cm)
least height
152
median
163
lower quartile
158
interquartile range 8
range 22
Draw a box plot for this information.
Year 10
130
140
150
160
170
180
height (cm)
(3)
The box plot below shows information about the heights, in cm, of a group
of Year 7 boys.
Year 7
130
140
150
160
170
180
height (cm)
(b) Compare the distribution of heights of the Year 7 boys with the
distribution of heights of the Year 10 boys.
(2)
(Total for Question 1 is 5 marks)

10. GCSE Edexcel Higher: June 2017 Paper 3, Q9
The box plot shows information about the distribution of the amounts
of money spent by some female students on their holidays
Female
students
100
200
300
400
500
600
700
800
900
1000
Money spent (£)
Work out the interquartile range for the amounts of money spent by
these female students.
(2)
The table below shows information about the distribution of the amounts
of money spent by some male students on their holidays.
Smallest
Lower
quartile
Median
Upper
Largest
Money spent
(£) 70
220
320
370
540
(b) On the grid above, draw a box plot for the information in the table.
(2)
Jack says,
“The box plots show that the male students spent more money
than the male students.”
(c) Is Jack correct?
Give a reason for your answer.
(1)
(Total for Question 1 is 5 marks)

11. GCSE Edexcel Higher: May 2018 Paper 1, Q10
This table shows some information about the heights of 60 boys.
Least height
135 cm
Greatest height
182 cm
Lower quartile
145 cm
Upper quartile
166 cm
Median
154 cm
(a) Draw a box plot to represent this information.
130
140
150
160
170
180
190
height (cm)
(3)
(b) Work out an estimate for the number of these boys with a height
between 145 cm and 182 cm.
(2)
(Total for Question 1 is 5 marks)

12. GCSE Upper quartile = 158 + 8 = 166 Tallest = 152 + 22 = 174
Edexcel Higher: November 2017 Paper 1, Q12 1
The table shows information about the heights, in cm, of a group
of Year 10 boys.
height (cm)
least height
152
median
163
lower quartile
158
interquartile range 8
range 22
Upper quartile
= = 166
Tallest
= = 174
Draw a box plot for this information.
Year 10
130
140
150
160
170
180
height (cm)
(3)
The box plot below shows information about the heights, in cm, of a group
of Year 7 boys.
Year 7
130
140
150
160
170
180
height (cm)
(b) Compare the distribution of heights of the Year 7 boys with the
distribution of heights of the Year 10 boys.
The median height of the Year 10 boys is higher.
The inter-quartile range of the Year 10 boys is smaller
(2)
(Total for Question 1 is 5 marks)

13. GCSE 60 Male students 210 Yes, if we compare the medians (280 to 320),
Edexcel Higher: June 2017 Paper 3, Q9 1
The box plot shows information about the distribution of the amounts
of money spent by some female students on their holidays 60
LQ: 200
UQ: 410
Female
students
M: 280
640
Male
students
100
200
300
400
500
600
700
800
900
1000
Money spent (£)
Work out the interquartile range for the amounts of money spent by
these female students.
410 – 200 = 210
210
(2)
The table below shows information about the distribution of the amounts
of money spent by some male students on their holidays.
Smallest
Lower
quartile
Median
Upper
Largest
Money spent
(£) 70
220
320
370
540
(b) On the grid above, draw a box plot for the information in the table.
(2)
Jack says,
“The box plots show that the male students spent more money
than the male students.”
(c) Is Jack correct?
Give a reason for your answer.
Yes, if we compare the medians (280 to 320),
the male students spent more money on average.
(1)
(Total for Question 1 is 5 marks)

14. GCSE 145 is lower quartile 182 is upper limit
Edexcel Higher: May 2018 Paper 1, Q10 1
This table shows some information about the heights of 60 boys.
Least height
135 cm
Greatest height
182 cm
Lower quartile
145 cm
Upper quartile
166 cm
Median
154 cm
(a) Draw a box plot to represent this information.
130
140
150
160
170
180
190
height (cm)
(3)
(b) Work out an estimate for the number of these boys with a height
between 145 cm and 182 cm.
145 is lower quartile
182 is upper limit
Lower quartile to maximum
= 75% of the population
75% of 60 = 45 45
(2)
(Total for Question 1 is 5 marks)

15. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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