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Averages, spread and box plots: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on S4 Averages, spread and box plots, 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q6

    June 2025 · Paper 2H

    5 marksS4 Averages, spread and box plotsR4 Ratio notation
    The whole paper ↗
    June 2025 Paper 2H, question 6: Here are two lists of numbers. List A 276 400 157 139 List B 530 500 270 x 440 320 mean of list A : mean of list B = 3 : 5 Work out the value of x. x =

  2. Q12

    June 2025 · Paper 2H

    5 marksS4 Averages, spread and box plots
    The whole paper ↗
    June 2025 Paper 2H, question 12: The table gives some information about the ages, in years, of 32 actors. Lowest age 21 Highest age 80 Lower quartile 31 Upper quartile 42 Median 35 (a) Draw a b

  3. Q9

    November 2024 · Paper 1H

    6 marksS4 Averages, spread and box plotsS3 Histograms and cumulative frequency
    The whole paper ↗
    November 2024 Paper 1H, question 9: The cumulative frequency graph gives information about the marks that 60 students got in a test. 60 50 40 Cumulative 30 frequency 20 10 0 0 10 20 30 40 50 60 70

  4. Q6

    November 2024 · Paper 3H

    4 marksS4 Averages, spread and box plotsS2 Charts and tables
    The whole paper ↗
    November 2024 Paper 3H, question 6: The stem and leaf diagram shows the test scores of 23 students from School A. 3 0 4 1 2 4 4 5 7 Key: 5 3 4 4 6 7 8 8 9 3 0 represents 30 6 0 8 8 9 9 7 1 3 9 23

  5. Q8

    June 2024 · Paper 1H

    3 marksS4 Averages, spread and box plots
    The whole paper ↗
    June 2024 Paper 1H, question 8: Len has 8 parcels. The mean weight of the 8 parcels is 2.5 kg. The mean weight of 3 of the parcels is 2 kg. Work out the mean weight of the other 5 parcels. kg

  6. Q11

    June 2024 · Paper 2H

    7 marksS3 Histograms and cumulative frequencyS4 Averages, spread and box plots
    The whole paper ↗
    June 2024 Paper 2H, question 11: The frequency table gives information about the weights of 60 parcels. Weight (w kg) Frequency 0 < w  2 7 2 < w  4 21 4 < w  6 15 6 < w  8 11 8 < w  10 6 (

  7. Q11

    June 2024 · Paper 3H

    5 marksS4 Averages, spread and box plots
    The whole paper ↗
    June 2024 Paper 3H, question 11: Mina records the speeds, in mph, of some cars on a road on Friday. She uses her results to work out the information in this table. Speed (mph) Lowest speed 25 L

  8. Q4

    November 2023 · Paper 1H

    4 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2023 Paper 1H, question 4: The mean length of 5 sticks is 4.2 cm. Nawal measured the length of one of the sticks as 7 cm. (a) Work out the mean length of the other 4 sticks. cm Nawal made

  9. Q11

    November 2023 · Paper 1H

    5 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2023 Paper 1H, question 11: Alice recorded the number of cars going into a village on each of 80 days. The incomplete table and the incomplete box plot give information about her results.

  10. Q3

    November 2023 · Paper 3H

    4 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2023 Paper 3H, question 3: Seija works at a weather station. The table gives information about the temperature, T °C, at midday for each of 50 cities in the UK on Tuesday. Temperature (T

  11. Q13

    November 2023 · Paper 3H

    6 marksS3 Histograms and cumulative frequencyS4 Averages, spread and box plots
    The whole paper ↗
    November 2023 Paper 3H, question 13: Alan grew 80 plants of the same type outside. The cumulative frequency graph shows information about the heights, in cm, of these plants. 80 60 Cumulative frequ

  12. Q11

    June 2023 · Paper 3H

    5 marksS4 Averages, spread and box plots
    The whole paper ↗
    June 2023 Paper 3H, question 11: The table shows some information about the heights of a group of adults. least height 169 cm greatest height 186 cm median 177 cm lower quartile 174 cm upper qu

  13. Q11

    November 2022 · Paper 2H

    3 marksS3 Histograms and cumulative frequencyS4 Averages, spread and box plots
    The whole paper ↗
    November 2022 Paper 2H, question 11: In an experiment, 60 students each completed a puzzle. The cumulative frequency graph shows information about the times taken for the 60 students to complete th

  14. Q8

    November 2022 · Paper 3H

    3 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2022 Paper 3H, question 8: There are 30 women and 20 men at a gym. The mean height of all 50 people is 167.6 cm The mean height of the 20 men is 182 cm Work out the mean height of the 30

  15. Q8

    June 2022 · Paper 1H

    3 marksS4 Averages, spread and box plots
    The whole paper ↗
    June 2022 Paper 1H, question 8: The table shows the amount of snow, in cm, that fell each day for 30 days. Amount of snow Frequency (s cm) 0  s < 10 8 10  s < 20 10 20  s < 30 7 30  s < 40

  16. Q10

    June 2022 · Paper 2H

    5 marksS4 Averages, spread and box plots
    The whole paper ↗
    June 2022 Paper 2H, question 10: The box plot shows information about the sales, in thousands of pounds (£000s), of an online store each month. Online store 0 100 200 300 400 500 Sales (£000s)

  17. Q9

    November 2021 · Paper 2H

    4 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2021 Paper 2H, question 9: The box plot shows information about the length of time, in minutes, some people waited to see a doctor at a hospital on Monday. 0 40 80 120 160 200 240 280 Wai

  18. Q7

    November 2020 · Paper 1H

    3 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2020 Paper 1H, question 7: The table shows information about the heights, in cm, of a group of Year 9 girls. least height 150 cm median 165 cm greatest height 170 cm This stem and leaf di

  19. Q9

    November 2020 · Paper 2H

    2 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2020 Paper 2H, question 9: Aisha recorded the heights, in centimetres, of some girls. She used her results to work out the information in this table. Least height 142 cm Lower quartile 15

  20. Q7

    November 2020 · Paper 3H

    3 marksS4 Averages, spread and box plots
    The whole paper ↗
    November 2020 Paper 3H, question 7: There is a total of 45 boys and girls in a choir. The mean age of the 18 boys is 16.2 years. The mean age of the 27 girls is 16.7 years. Calculate the mean age
All 38 questions on Averages, spread and box plots, as a list
  1. June 2025, Paper 2H, Q6 (5 marks): Here are two lists of numbers. List A 276 400 157 139 List B 530 500 270 x 440 320 mean of list A : mean of list B = 3 : 5 Work out the value of x. x =
  2. June 2025, Paper 2H, Q12 (5 marks): The table gives some information about the ages, in years, of 32 actors. Lowest age 21 Highest age 80 Lower quartile 31 Upper quartile 42 Median 35 (a) Draw a b
  3. November 2024, Paper 1H, Q9 (6 marks): The cumulative frequency graph gives information about the marks that 60 students got in a test. 60 50 40 Cumulative 30 frequency 20 10 0 0 10 20 30 40 50 60 70
  4. November 2024, Paper 3H, Q6 (4 marks): The stem and leaf diagram shows the test scores of 23 students from School A. 3 0 4 1 2 4 4 5 7 Key: 5 3 4 4 6 7 8 8 9 3 0 represents 30 6 0 8 8 9 9 7 1 3 9 23
  5. June 2024, Paper 1H, Q8 (3 marks): Len has 8 parcels. The mean weight of the 8 parcels is 2.5 kg. The mean weight of 3 of the parcels is 2 kg. Work out the mean weight of the other 5 parcels. kg
  6. June 2024, Paper 2H, Q11 (7 marks): The frequency table gives information about the weights of 60 parcels. Weight (w kg) Frequency 0 < w  2 7 2 < w  4 21 4 < w  6 15 6 < w  8 11 8 < w  10 6 (
  7. June 2024, Paper 3H, Q11 (5 marks): Mina records the speeds, in mph, of some cars on a road on Friday. She uses her results to work out the information in this table. Speed (mph) Lowest speed 25 L
  8. November 2023, Paper 1H, Q4 (4 marks): The mean length of 5 sticks is 4.2 cm. Nawal measured the length of one of the sticks as 7 cm. (a) Work out the mean length of the other 4 sticks. cm Nawal made
  9. November 2023, Paper 1H, Q11 (5 marks): Alice recorded the number of cars going into a village on each of 80 days. The incomplete table and the incomplete box plot give information about her results.
  10. November 2023, Paper 3H, Q3 (4 marks): Seija works at a weather station. The table gives information about the temperature, T °C, at midday for each of 50 cities in the UK on Tuesday. Temperature (T
  11. November 2023, Paper 3H, Q13 (6 marks): Alan grew 80 plants of the same type outside. The cumulative frequency graph shows information about the heights, in cm, of these plants. 80 60 Cumulative frequ
  12. June 2023, Paper 3H, Q11 (5 marks): The table shows some information about the heights of a group of adults. least height 169 cm greatest height 186 cm median 177 cm lower quartile 174 cm upper qu
  13. November 2022, Paper 2H, Q11 (3 marks): In an experiment, 60 students each completed a puzzle. The cumulative frequency graph shows information about the times taken for the 60 students to complete th
  14. November 2022, Paper 3H, Q8 (3 marks): There are 30 women and 20 men at a gym. The mean height of all 50 people is 167.6 cm The mean height of the 20 men is 182 cm Work out the mean height of the 30
  15. June 2022, Paper 1H, Q8 (3 marks): The table shows the amount of snow, in cm, that fell each day for 30 days. Amount of snow Frequency (s cm) 0  s < 10 8 10  s < 20 10 20  s < 30 7 30  s < 40
  16. June 2022, Paper 2H, Q10 (5 marks): The box plot shows information about the sales, in thousands of pounds (£000s), of an online store each month. Online store 0 100 200 300 400 500 Sales (£000s)
  17. November 2021, Paper 2H, Q9 (4 marks): The box plot shows information about the length of time, in minutes, some people waited to see a doctor at a hospital on Monday. 0 40 80 120 160 200 240 280 Wai
  18. November 2020, Paper 1H, Q7 (3 marks): The table shows information about the heights, in cm, of a group of Year 9 girls. least height 150 cm median 165 cm greatest height 170 cm This stem and leaf di
  19. November 2020, Paper 2H, Q9 (2 marks): Aisha recorded the heights, in centimetres, of some girls. She used her results to work out the information in this table. Least height 142 cm Lower quartile 15
  20. November 2020, Paper 3H, Q7 (3 marks): There is a total of 45 boys and girls in a choir. The mean age of the 18 boys is 16.2 years. The mean age of the 27 girls is 16.7 years. Calculate the mean age
  21. November 2020, Paper 3H, Q17 (4 marks): The histogram gives information about the distances 80 competitors jumped in a long jump competition. 120 100 80 Frequency density 60 40 20 0 6.0 6.4 6.8 7.2 7.
  22. November 2019, Paper 1H, Q6 (3 marks): 4 red bricks have a mean weight of 5 kg. 5 blue bricks have a mean weight of 9 kg. 1 green brick has a weight of 6 kg. Donna says, “The mean weight of the 10 br
  23. November 2019, Paper 2H, Q11 (3 marks): Megan grows potatoes. The box plot below shows information about the weights of Megan’s potatoes. Megan 20 30 40 50 60 70 80 Weight (grams) Megan says that half
  24. November 2019, Paper 3H, Q4 (3 marks): The table gives information about the times taken, in seconds, by 18 students to run a race. Time (t seconds) Frequency 1 5 t 10 2 10 t 15 7 15 t 20 8 20 t 25 W
  25. November 2019, Paper 3H, Q12 (3 marks): The stem and leaf diagram shows information about the heights, in cm, of 23 sunflowers. 17 3 4 9 18 6 8 8 19 0 0 1 4 6 7 8 Key: 17|3 represents 173 cm 20 1 4 7
  26. June 2019, Paper 1H, Q11 (4 marks): A bus company recorded the ages, in years, of the people on coach A and the people on coach B. Here are the ages of the 23 people on coach A. 41 42 44 48 52 53
  27. June 2019, Paper 3H, Q3 (3 marks): The table shows information about the heights of 80 plants. Height (h cm) Frequency 10 h - 20 7 20 h - 30 13 30 h - 40 14 40 h - 50 12 50 h - 60 16 60 h - 70 18
  28. November 2018, Paper 1H, Q9 (6 marks): The times that 48 trains left a station on Monday were recorded. The cumulative frequency graph gives information about the numbers of minutes the trains were d
  29. November 2018, Paper 3H, Q4 (6 marks): Fran asks each of 40 students how many books they bought last year. The chart below shows information about the number of books bought by each of the 40 student
  30. November 2018, Paper 3H, Q17 (5 marks): The table shows information about the distances 570 students travelled to a university open day. Distance (d miles) Frequency 0 d - 20 120 20 d - 50 90 50 d - 8
  31. June 2018, Paper 1H, Q10 (5 marks): The table gives some information about the heights of 80 girls. Least height 133 cm Greatest height 170 cm Lower quartile 145 cm Upper quartile 157 cm Median 15
  32. November 2017, Paper 1H, Q5 (4 marks): The table shows information about the weekly earnings of 20 people who work in a shop. Weekly earnings (£x) Frequency 150 x - 250 1 250 x - 350 11 350 x - 450 5
  33. November 2017, Paper 1H, Q12 (5 marks): The table shows information about the heights, in cm, of a group of Year 11 girls. height (cm) least height 154 median 165 lower quartile 161 interquartile rang
  34. November 2017, Paper 3H, Q1 (3 marks): The table shows information about the heights of 80 children. Height (h cm) Frequency 130 h - 140 4 11 140 h - 150 24 150 h - 160 22 160 h - 170 19 170 h - 180
  35. November 2017, Paper 3H, Q11 (4 marks): The cumulative frequency graph shows information about the weights of 60 potatoes. 60 50 40 Cumulative frequency 30 20 10 0 30 40 50 60 70 80 Weight (g) (a) Use
  36. June 2017, Paper 1H, Q7 (3 marks): There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60 The mean mark for the girls is 54 Work out the mean mark
  37. June 2017, Paper 3H, Q3 (2 marks): The table shows some information about the dress sizes of 25 women. Dress size Number of women 8 2 10 9 12 8 14 6 (a) Find the median dress size. 3 of the 25 wo
  38. June 2017, Paper 3H, Q9 (5 marks): The box plot shows information about the distribution of the amounts of money spent by some male students on their holidays. Male students 0 100 200 300 400 500

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