Measures of central tendency: Edexcel GCSE Statistics questions

Every Edexcel GCSE Statistics exam question on 2b Measures of central tendency, 2019–2025, with its mark scheme and examiner’s report.

All 74 questions on Measures of central tendency, as a list

June 2025, Paper 1 Higher, Q1 (3 marks): Rebecca collected data from the internet about the litter size of wild boar in France and in Italy. The frequency polygons give information about the litter siz
June 2025, Paper 1 Higher, Q8 (13 marks): David collected data on the times, in hours, taken for men to complete the Ironman Canada 2022 race and the Ironman UK 2022 race. These graphs and summary stati
June 2025, Paper 1 Foundation, Q6 (6 marks): There is an award for board and card games. Matthew collected a list of the 9 games that were recommended by the awards panel in the critics prize category for
June 2025, Paper 1 Foundation, Q8 (4 marks): Passengers for airline flights have their suitcases weighed when they check in. LocalHop offers flights to and from islands in a small plane. Here is a list of
June 2025, Paper 1 Foundation, Q13 (14 marks): Tsena is researching the ages of Oscar winners. She has collected data from the internet about the ages of the winners of the Best Actor and Best Actress catego
June 2025, Paper 2 Higher, Q7 (6 marks): The population pyramid shows the age distribution of the world population in the year 1960 Each percentage is given correct to one decimal place. Male Female 10
June 2025, Paper 2 Higher, Q10 (7 marks): The table gives information about the median house price in a town called Bulkington, in England, between the years 2015 and 2020 The table also gives, correct
June 2025, Paper 2 Higher, Q11 (4 marks): A road safety officer records the speed of each vehicle travelling faster than the speed limit of 30 mph as they pass a site. Here are the results. Speed of veh
June 2025, Paper 2 Foundation, Q3 (3 marks): The table shows information about the number of films that each of 12 students watched during one week. Number of films Frequency 1 2 2 6 3 3 4 1 (a) Work out t
June 2025, Paper 2 Foundation, Q4 (3 marks): For each of the three diagrams below, state whether the mode, median or mean would be the most appropriate average to use to summarise the data. (a) Weights of
June 2025, Paper 2 Foundation, Q6 (5 marks): Tim recorded the number of sheep on each of eight farms. The results are shown below. 44 41 72 74 68 80 68 97 (a) Work out the median. Tim recorded the number o
June 2025, Paper 2 Foundation, Q7 (2 marks): Leya has collected data about 15 butterflies. The table gives information about the length of time, in days, each butterfly lived. Length of time lived Frequenc
June 2024, Paper 1 Higher, Q2 (9 marks): A fjord is a deep and narrow part of a sea with steep land on three sides. Emily is investigating the length of fjords in Norway. She collects some data from th
June 2024, Paper 1 Foundation, Q4 (10 marks): A basketball team played 9 matches at the start of a season. The total number of points they scored in each match is listed below. 80 64 87 64 42 81 89 138 68 H
June 2024, Paper 1 Foundation, Q8 (9 marks): A fjord is a deep and narrow part of a sea with steep land on three sides. Emily is investigating the length of fjords in Norway. She collects some data from th
June 2024, Paper 2 Higher, Q5 (11 marks): Zack is comparing the players from the England Rugby Union team with the players from the Welsh Rugby Union team. The players are listed as Rugby Union Forwards
June 2024, Paper 2 Higher, Q7 (10 marks): The Consumer Price Index (CPI) is a measure of the rate of change of prices in everyday life. The table shows the annual average CPI from 2017 to 2021 with 2015
June 2024, Paper 2 Foundation, Q2 (3 marks): Jenny is investigating how many days per week people use a gym. She asks the 40 people in her fitness group how often they use the gym each week. Jenny draws th
June 2024, Paper 2 Foundation, Q3 (8 marks): Ben is researching information about the number of British swimming medals won at the Olympics. Here are his results, giving the number of British swimming meda
June 2024, Paper 2 Foundation, Q4 (6 marks): Tachi collects data on the heights, in metres, of a sample of Egyptian pyramids. Here is her data. 136.4 101.1 104 62.6 138.8 65.5 93.5 (Source: www.rankred.com
June 2024, Paper 2 Foundation, Q5 (6 marks): Claire is planning an investigation into the length of time that a learner has to wait for a driving test. She wants to find out about how waiting time varies i
June 2023, Paper 1 Higher, Q2 (10 marks): Kyle is investigating the heights and the weights of professional basketball players. He found the weight, in kilograms, of some professional basketball players
June 2023, Paper 1 Higher, Q6 (6 marks): The table gives information about the monthly average price per troy ounce, in pounds, of gold over a period of six months in 2019 The table also gives some of
June 2023, Paper 1 Higher, Q9 (8 marks): Ligita collected data on the handspans, in cm, of men and the handspans, in cm, of women. She processed her data using statistical software, here are her result
June 2023, Paper 1 Foundation, Q6 (12 marks): David asked 15 of his friends about the number of pets they each have. Here is the data he collected. 0 0 0 0 0 1 1 2 2 2 4 4 4 4 8 (a) Circle the word in the l
June 2023, Paper 2 Higher, Q2 (5 marks): Logan is investigating the heights of male adult giraffes and the heights of female adult giraffes. He records the height, in metres, of each of a sample of mal
June 2023, Paper 2 Higher, Q3 (7 marks): The cumulative frequency step polygon shows information about the number of goals scored in each of 28 matches played by the German women’s national football te
June 2023, Paper 2 Higher, Q8 (5 marks): A scientist is carrying out an experiment to test the effect of a vitamin on memory. She plans to use matched pairs. (a) Explain what is meant by matched pairs
June 2023, Paper 2 Foundation, Q2 (8 marks): Norbert asked each of the students in his class to name their favourite fruit from Apple, Banana, Orange or Pear. The results are shown below. Banana Orange App
June 2023, Paper 2 Foundation, Q4 (5 marks): Rose is investigating the number of brothers and sisters that students in her secondary school have. To investigate this she asks 10 students in Year 8 and 10 s
June 2023, Paper 2 Foundation, Q6 (5 marks): Connie is going to write a report on the difference in total rainfall between London and Aberdeen in 2019 She collects secondary data to investigate this. This
June 2023, Paper 2 Foundation, Q12 (5 marks): Logan is investigating the heights of male adult giraffes and the heights of female adult giraffes. He records the height, in metres, of each of a sample of mal
June 2023, Paper 2 Foundation, Q13 (7 marks): The cumulative frequency step polygon shows information about the number of goals scored in each of 28 matches played by the German women’s national football te
June 2022, Paper 1 Higher, Q1 (3 marks): Bill is investigating how being grown in the shade and being grown in sunlight affects the heights of tree seedlings. The following stem and leaf diagrams give
June 2022, Paper 1 Higher, Q3 (9 marks): Weronika works for a road traffic organisation. One day she is investigating the speeds of cars and the speeds of motorcycles along a motorway. Here is part of
June 2022, Paper 1 Higher, Q13 (5 marks): Suzie is investigating the profits made by two different shops, shop A and shop B. Suzie has obtained the annual percentage profits made by shop A for the years
June 2022, Paper 1 Foundation, Q5 (5 marks): Jane is a car mechanic at MPG Autos. Jane recorded the time, in minutes, that she took to change a tyre on each of 9 cars. Here are her results. 25 32 19 27 17
June 2022, Paper 1 Foundation, Q9 (8 marks): Dylan investigates the ages of 150 people at a music festival. The youngest person at the festival is 21 years old and the oldest person is 68 years old. Dylan
June 2022, Paper 1 Foundation, Q12 (3 marks): Bill is investigating how being grown in the shade and being grown in sunlight affects the heights of tree seedlings. The following stem and leaf diagrams give
June 2022, Paper 1 Foundation, Q14 (9 marks): Weronika works for a road traffic organisation. One day she is investigating the speeds of cars and the speeds of motorcycles along a motorway. Here is part of
June 2022, Paper 2 Foundation, Q1 (6 marks): For a survey, Kayleigh counted the number of people in each of the 20 cars that arrived at her office car park one morning. Here are her results. 1 1 2 2 3 3 1
June 2022, Paper 2 Foundation, Q6 (6 marks): A garden centre has a register of 400 loyalty card members. The owner of the garden centre wants to find out information about the distribution of the amount of
November 2021, Paper 1 Higher, Q9 (4 marks): A professor uses a weighted mean in order to calculate each student’s mark for the term. Here is information about the weighting of each task. Task Assignment 1
November 2021, Paper 1 Foundation, Q3 (7 marks): Julie asked 20 of her friends how many days last week they each played a sport. Here are her results. 3 4 5 3 2 2 3 3 2 5 1 0 1 0 2 3 3 2 5 3 (a) Which word fro
November 2021, Paper 1 Foundation, Q5 (10 marks): Bethany is the union representative at the large company where she works. She is investigating the salaries of the employees at the company. Bethany takes a sim
November 2021, Paper 2 Higher, Q1 (5 marks): Ben is investigating how far people travel to work each day. He asks the people in his office how far, in miles, they travel to work each day. The grouped frequ
November 2021, Paper 2 Higher, Q5 (3 marks): Birgitta works in a wildlife reserve. She has been researching the size of tiger feet in order to help in the identification of animal tracks. The table gives i
November 2021, Paper 2 Higher, Q7 (7 marks): Matthew is investigating how the cost of computer data storage has changed over time. (a) Suggest a hypothesis Matthew could use. Matthew finds the cost per ter
November 2021, Paper 2 Foundation, Q4 (9 marks): Shona and Luke are investigating housing. Shona wants to find out about the types of house in which people live. She plans to collect data by asking people to t
November 2021, Paper 2 Foundation, Q7 (8 marks): Ruth is investigating the results of the Six Nations rugby competition. She finds the following summary information for the Six Nations rugby competition in 201
November 2021, Paper 2 Foundation, Q8 (8 marks): Diana is investigating the numbers of wolf pups in wolf dens and the numbers of fox pups in fox dens. She collected data from the internet. Data collected from
November 2021, Paper 2 Foundation, Q10 (5 marks): Ben is investigating how far people travel to work each day. He asks the people in his office how far, in miles, they travel to work each day. The grouped frequ
November 2021, Paper 2 Foundation, Q14 (6 marks): A firm produces pottery. The firm produces 1000 plates each week. The manager of the firm wants to take a systematic sample of 5% of the plates to check for fau
November 2020, Paper 1 Higher, Q10 (6 marks): The table gives the price index number for the average rail fare in Great Britain for each of six years, with 2012 as base year. The table also gives some of th
November 2020, Paper 1 Foundation, Q2 (6 marks): Dalia works in a cafe. One Monday morning she recorded what type of milk each customer wanted in their coffee. The tally chart gives the number of customers who
November 2020, Paper 1 Foundation, Q9 (6 marks): Cindy works in a library. She recorded the number of books borrowed by each person in a random sample of 20 people who borrowed books from the library one Monda
November 2020, Paper 1 Foundation, Q14 (7 marks): Joel is investigating the heights of buildings in Paris and in London. He collects data on the heights of the tallest buildings in Paris and in London. Joel dec
November 2020, Paper 2 Higher, Q3 (10 marks): The Forestry Commission planted Field Maple trees and Silverleaf Maple trees in region A. They measured the heights of the trees after 14 years. The incomplete
November 2020, Paper 2 Foundation, Q4 (10 marks): Richard finds information from the internet about the most popular colours for cars in the UK in 2017 Table 1 gives this information. Rank Colour Percentage of
November 2020, Paper 2 Foundation, Q5 (7 marks): Some people were asked to complete three puzzles, Puzzle X, Puzzle Y and Puzzle Z. The table shows some summary statistics about the times taken, in minutes, to
November 2020, Paper 2 Foundation, Q9 (8 marks): Daniel is interested in the price of houses. He collects data on the average selling price of houses in the UK for four months in 2017 His results are shown in
November 2020, Paper 2 Foundation, Q11 (10 marks): The Forestry Commission planted Field Maple trees and Silverleaf Maple trees in region A. They measured the heights of the trees after 14 years. The incomplete
June 2019, Paper 1 Higher, Q5 (5 marks): Chris is carrying out an experiment to see if left handed people have a better memory than right handed people. He has two groups of people with the same number
June 2019, Paper 1 Higher, Q10 (8 marks): The table shows information about the amount of time that each member of a group of 46 teenagers spent on social media during one day. Time spent on social medi
June 2019, Paper 1 Higher, Q12 (9 marks): Mr Singh collected data about the number of students in each of three classes in his school and the mean mark of each class in a science test. The table gives s
June 2019, Paper 1 Foundation, Q3 (7 marks): Lena is researching information about the numbers of British Oscar winners. Here are her results, giving the number of British Oscar winners for each of the yea
June 2019, Paper 1 Foundation, Q4 (5 marks): Here are the weights, in kilograms, of 10 dogs. 9.2 4.3 68.2 12.3 6.5 10.6 14.2 16.0 9.1 8.5 (a) Work out the range. kg (b) Work out the median. kg The median i
June 2019, Paper 1 Foundation, Q8 (5 marks): Suresh is a secondary school student. He wants to find out how many days off school each teacher has had in the last year. Suresh plans to find out this informa
June 2019, Paper 2 Higher, Q3 (6 marks): The frequency polygon shows information about the times taken by 49 athletes to run 400 metres at the 2017 World Championships. 20 Frequency 10 0 50 51 52 53 54
June 2019, Paper 2 Higher, Q5 (5 marks): The figures below show the amount, in £ millions, of UK aid given to Ethiopia for each of the years 2009 to 2015 219 263 344 265 329 321 338 The table gives a s
June 2019, Paper 2 Foundation, Q1 (8 marks): Jools surveyed 40 members of his youth club to ask each of them their favourite type of music. Some information about his results is shown in the incomplete tab
June 2019, Paper 2 Foundation, Q6 (6 marks): The table shows information about the time taken, in minutes, by each of the Wimbledon men’s singles final matches for the 30 years from 1985 Time taken (t minu
June 2019, Paper 2 Foundation, Q8 (7 marks): Mayokun measured and recorded the height, to the nearest cm, of each of the first 20 female students and of each of the first 20 male students to arrive at his
June 2019, Paper 2 Foundation, Q12 (6 marks): The frequency polygon shows information about the times taken by 49 athletes to run 400 metres at the 2017 World Championships. 20 Frequency 10 0 50 51 52 53 54

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358 questions