plumiAverages, spread and box plots: AQA GCSE Maths questions
Every AQA 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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All 50 questions on Averages, spread and box plots, as a list
- June 2025, Paper 1H, Q4 (2 marks): Here are 11 numbers. 2 8 10 12 12 14 19 23 26 31 33 Work out the inter-quartile range. Answer
- June 2025, Paper 1H, Q5 (3 marks): The table shows information about the marks of students in a test. Mean mark Range of marks School A 61 14 School B 56 21 Tick one box for each statement. True
- June 2025, Paper 3H, Q2 (1 mark): Here are the temperatures in six cities in degrees Celsius. 0°C –3°C 0°C 1.5°C 23°C 4°C Write down the outlier. Answer °C
- June 2025, Paper 3H, Q12 (4 marks): Rob records the time he takes to drive to work every day for 80 days. The table shows information about the results. Time, t (minutes) Frequency 20 ⩽ t < 25 16
- November 2024, Paper 1H, Q3 (3 marks): Each number in a list is increased by 10 Tick one box for each statement. True False Cannot tell The mode is increased by 10 The median is increased by 10 The r
- November 2024, Paper 2H, Q2 (3 marks): Here is a grouped frequency table. Value, v Frequency Midpoint 0 ⩽ v < 10 16 5 10 ⩽ v < 20 22 15 20 ⩽ v < 30 13 25 30 ⩽ v < 40 9 35 Total = 60 Work out an estim
- November 2024, Paper 2H, Q18 (7 marks): Two types of battery, P and Q, were tested. 100 of each type were put into clocks. The number of days each battery lasted was recorded. 18 (a) The frequency tab
- June 2024, Paper 1H, Q16 (2 marks): The table shows information about the ages of members of two clubs. Median age (years) Interquartile range of ages (years) Swimming club 21.2 7.3 Cycling club 2
- June 2024, Paper 2H, Q13 (3 marks): Liam takes part in long jump competitions. Here is some information about 40 of his jumps. Length of jump, d metres Number of jumps Midpoint 7.0 ⩽ d < 7.4 15 7.
- June 2024, Paper 2H, Q16 (3 marks): Here is some information about the lengths, in cm, of leaves. • Shortest length = 2.4 • Longest length = 9 • Upper quartile = 7 • Median length = 6 • Interquart
- June 2024, Paper 3H, Q8 (4 marks): Four people are taking part in a television talent show. Here are Amy’s marks from the 6 judges. 8 9 9 6 9 10 The pie chart represents the phone vote. Amy’s tot
- November 2023, Paper 1H, Q15 (5 marks): A race was run in 2019 and in 2020 The box plot shows information about the finishing times in 2019 15 (a) In 2019, what was the fastest time? Answer minutes 15
- November 2023, Paper 2H, Q12 (3 marks): Here is some information about the members of a basketball club. Number of members Mean height of members Junior 30 1.6 m Senior 20 2.05 m Work out the mean hei
- June 2023, Paper 1H, Q14 (2 marks): Here is a list of 11 whole numbers in numerical order. The lower quartile, median, upper quartile and highest value are missing. 5 8 13 19 25 28 34 • median = 2
- June 2023, Paper 2H, Q14 (8 marks): A company has 123 employees. Information about their hourly rates of pay is shown in the table. Hourly rate, £p Number of employees 10 ⩽ p < 14 66 14 ⩽ p < 20 3
- June 2023, Paper 3H, Q15 (6 marks): 180 runners started a marathon. Some of the runners did not complete it. 15 (a) The histogram represents the times of the runners who did complete the marathon.
- November 2022, Paper 1H, Q6 (3 marks): Here is some information about the time spent on social media by 40 women and 40 men last week. Time spent, t (hours) Number of women Number of men 2 < t ⩽ 5 12
- November 2022, Paper 2H, Q18 (6 marks): A basketball team plays 19 home games and 19 away games. The box plot shows information about the points the team scored in home games. Here are the points the
- November 2022, Paper 2H, Q23 (5 marks): 61 students recorded how many hours they spent revising for a test. The histogram represents the results. 23 (a) Work out an estimate of the mean time the 61 st
- November 2022, Paper 3H, Q8 (2 marks): Here is some information about the members of clubs A and B. Number of members Mean height of members Club A 24 1.8 m Club B 20 1.92 m Work out total height of
- June 2022, Paper 2H, Q8 (3 marks): A school play takes place each day from Monday to Friday. Here are the attendances on four of the days. Monday Tuesday Wednesday Thursday 72 83 88 97 For all fi
- June 2022, Paper 2H, Q16 (5 marks): Amol owns a sandwich shop. The shop is open from Monday to Saturday. In June, Amol sold 3000 sandwiches. 16 (a) Amol wants to work out the mean number of sandwi
- June 2022, Paper 3H, Q14 (4 marks): Students in two classes, A and B, raised money for charity. The box plot for class A is shown on the grid. For class B, • the lowest amount was £3 and the highe
- November 2021, Paper 2H, Q7 (3 marks): 102 boys and 85 girls took a test. The table shows information about the mean marks. Boys Girls Number of students 102 85 Mean mark 68.5 72.4 The pass mark for
- November 2021, Paper 3H, Q5 (3 marks): Six positive numbers have a mean of 10 a range of 19 Four of the numbers are 12 7 15 3 Work out the other two numbers. Answer and
- November 2020, Paper 2H, Q10 (4 marks): Alex and Bev sat six tests, each with 50 marks. The table shows their mean percentages after five tests. Alex 60% Bev 52% After all six tests, their mean percen
- November 2020, Paper 3H, Q12 (3 marks): Here is some information about 26 houses. a, b and c are all different numbers. Number of bedrooms Number of houses 1 7 2 a 3 b 4 c 5 8 The median number of bed
- November 2020, Paper 3H, Q16 (3 marks): The number of goals scored by 20 players in a season is shown. Number of goals Frequency Midpoint 0 to 4 6 5 to 9 11 10 to 14 3 Total = 20 Work out an estimate
- November 2020, Paper 3H, Q20 (4 marks): Amari and Ben each play a game. 20 (a) Here is some information about Amari’s scores. Lowest 12 Highest 20 Lower quartile 13 Upper quartile 19 Median 17 Draw a
- November 2019, Paper 1H, Q19 (2 marks): The box plots represent the distances run by the players in a football match. Team A Team B 19 (a) On average, which team’s players ran further? Tick a box. Giv
- November 2019, Paper 2H, Q13 (7 marks): 200 people recorded the time they spent on social media one day. The table shows the results. Time, t (mins) Frequency Midpoint 0 ⩽ t < 30 24 30 ⩽ t < 50 76 50
- June 2019, Paper 2H, Q9 (5 marks): In a sport, injury time is added time played at the end of a match. The table shows the injury time, t (minutes) played in 380 matches. Injury time, t (minutes)
- June 2019, Paper 2H, Q13 (5 marks): The amounts spent on clothes by 40 boys and 40 girls in one month were recorded. The table shows information about the amounts spent by the boys. Amount, x (£)
- June 2019, Paper 3H, Q11 (4 marks): Here are two sets of numbers, A and B. Set A Set B 200 160 104 100 270 400 483 300 x mean of Set A : mean of Set B = 3 : 8 Work out the value of x. Answer
- June 2019, Paper 3H, Q17 (3 marks): A factory makes kettles. Four samples of kettles are tested for faults. Each sample has size 200 Here are the relative frequencies of faulty kettles in the samp
- June 2019, Paper 3H, Q19 (2 marks): Here is some information about the times people took to complete a survey. Ben draws this box plot to show the information. Time to complete a survey Make two c
- November 2018, Paper 1H, Q8 (6 marks): Kim works at an airport in the UK. She records the number of planes landing between 10 am and 2 pm each day. The table shows the data for the first 10 days in J
- November 2018, Paper 1H, Q15 (4 marks): In a survey, queuing times at supermarket checkouts were recorded. One morning, samples of 50 customers were taken at supermarkets A, B, C and D. The box plots
- November 2018, Paper 2H, Q6 (4 marks): Here is some information about 20 trains leaving a station. Number of minutes late, t Number of trains Midpoint 0 ⩽ t < 5 12 5 ⩽ t < 10 7 10 ⩽ t < 15 1 t ⩾ 15 0
- November 2018, Paper 3H, Q14 (3 marks): The mean mass of a squad of 19 hockey players is 82 kg A player of mass 93 kg joins the squad. Work out the mean mass of the squad now. Answer kg
- June 2018, Paper 2H, Q15 (1 mark): 100 men and 100 women took a test. Scores Median Interquartile range Range Men 28 7.5 31 Women 30 9 37 Using this data, which statement must be true? Tick one b
- November 2017, Paper 1H, Q20 (2 marks): In one month, the number of hours of exercise taken by 10 people are 4 7 2 8 6 5 1 82 3 9 Which is the appropriate average to use in this situation? Tick a box.
- November 2017, Paper 2H, Q8 (3 marks): The table shows information about the distances walked by 120 students on their way to school one week. Distance, x (miles) Frequency 0 < x ⩽ 5 20 5 < x ⩽ 10 48
- November 2017, Paper 3H, Q7 (1 mark): Here is some information about the times taken by 40 people to fill in a form. Time, t minutes Number of people 0 < t ⩽ 5 3 5 < t ⩽ 10 9 10 < t ⩽ 15 11 15 < t ⩽
- November 2017, Paper 3H, Q13 (3 marks): Here is some information about the length of time cars stayed in a car park. Shortest time 30 minutes Lower quartile 2 hours Longest time 12 hours Interquartile
- June 2017, Paper 1H, Q6 (4 marks): The table shows information about the times for 10 people to complete a task. These statements are about the mean and range of the actual times. Tick the correc
- June 2017, Paper 2H, Q16 (1 mark): Here is a box plot. Circle the median value. 28 35 24 22
- June 2017, Paper 3H, Q13 (4 marks): In a class of 28 students the mean height of the 12 boys is 1.58 metres the mean height of all 28 students is 1.52 metres. Work out the mean height of the girls
- Specimen, Paper 1H, Q11 (2 marks): Students in a class took a spelling test. The diagram shows information about the scores. Lucy is one of the 29 students in the class. Her score was the same as
- Specimen, Paper 3H, Q18 (5 marks): Here is some information about the number of books read by a group of people in 2014 One of the frequencies is missing. Number of books Frequency Midpoint 0 – 4
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