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.

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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)

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)

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)

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)

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)

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)

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 = 158 + 8 = 166 Tallest = 152 + 22 = 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)

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)

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)

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