Histograms, box plots and cumulative frequency: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 2.1 Histograms, box plots and cumulative frequency, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

All 24 questions on Histograms, box plots and cumulative frequency, as a list

June 2025, Paper 2, Q8 (4 marks): At the end of the summer term all 120 Year 8 pupils at Oakmount College sit the same mathematics examination. The marks obtained by the pupils in the 2024 exami
June 2025, AS Paper 2, Q5 (3 marks): All members of a class of year 9 pupils are asked to roll a fair dice a number of times, record the results and represent them using a suitable diagram. Kai’s d
June 2025, AS Paper 2, Q14 (4 marks): An environmental scientist is monitoring the fish population in a river. One day he catches some fish from a certain pool on the river. He weighs each fish befo
June 2024, Paper 2, Q3 (3 marks): The histogram shows the amount spent on electricity in pounds in a sample of households in March 2023. 4 3 Frequency 2 density 1 0 50 60 70 80 90 100 Amount spe
June 2024, AS Paper 2, Q3 (4 marks): A student conducts an investigation into the number of hours spent cooking per week by people who live in village A. The student represents the data in the cumu
June 2023, Paper 2, Q8 (6 marks): A garden centre stocks coniferous hedging plants. These are displayed in 10 rows, each of 120 plants. An employee collects a sample of the heights of these plan
June 2023, Paper 2, Q18 (11 marks): Riley is investigating the daily water consumption, in litres, of his household. He records the amount used for a random sample of 120 days from the previous tw
June 2023, AS Paper 2, Q1 (3 marks): A researcher collects data concerning the number of different social media platforms used by school pupils on a typical weekday. The frequency table for the dat
June 2023, AS Paper 2, Q12 (6 marks): Doctors are investigating the weights of adult males registered at their surgery. One week they collect a sample by noting the weight in kilograms of all the ad
June 2022, Paper 2, Q7 (2 marks): Kareem bought some tomatoes. He recorded the mass of each tomato and displayed the results in a histogram, which is shown below. y 4 3 Frequency density 2 1 0 1
June 2022, Paper 2, Q8 (3 marks): Ali conducted an investigation into the distances ridden by those members of a cycling club who rode at least 120 km in a training week. She grouped all the dis
June 2022, AS Paper 2, Q5 (6 marks): Ali collected data from a random sample of 200 workers and recorded the number of days they each worked from home in the second week of September 2019. These da
November 2021, Paper 2, Q10 (9 marks): Ben has an interest in birdwatching. For many years he has identified, at the start of the year, 32 days on which he will spend an hour counting the number of b
November 2021, AS Paper 2, Q2 (2 marks): Mia rolls a six-sided die 24 times and records the scores. She displays her results in a vertical line chart. This is shown in Fig. 2.1. Scores on a six-sided d
November 2021, AS Paper 2, Q11 (6 marks): James is investigating the amount of time retired people spend each day using social media. He collects a sample by advertising in a local newspaper for people
November 2020, Paper 2, Q4 (2 marks): Fig. 4 shows a cumulative frequency diagram for the time spent revising mathematics by year 11 students at a certain school during a week in the summer term. Ye
November 2020, Paper 2, Q8 (12 marks): Rosella is carrying out an investigation into the age at which adults retire from work in the city where she lives. She collects a sample of size 50, ensuring t
November 2020, AS Paper 2, Q2 (3 marks): A student measures the upper arm lengths of a sample of 97 women. The results are summarised in the frequency table in Fig. 2.1. Arm length in cm 30 – 31 – 32 –
June 2019, Paper 2, Q5 (3 marks): Fig. 5 shows the number of times that students at a sixth form college visited a recreational mathematics website during the first week of the summer term. Numb
June 2019, AS Paper 2, Q6 (13 marks): The large data set gives information about life expectancy at birth for males and females in different London boroughs. Fig. 6.1 shows summary statistics for fe
June 2018, Paper 2, Q9 (5 marks): At the end of each school term at North End College all the science classes in year 10 are given a test. The marks out of 100 achieved by members of set 1 are s
June 2018, Paper 2, Q14 (9 marks): The pre-release material includes data on unemployment rates in different countries. A sample from this material has been taken. All the countries in the sample
June 2018, AS Paper 2, Q2 (3 marks): Doug has a list of times taken by competitors in a ‘fun run’. He has grouped the data and calculated the frequency densities in order to draw a histogram to rep
June 2018, AS Paper 2, Q11 (9 marks): The pre-release material contains data concerning the death rate per thousand people and the birth rate per thousand people in all the countries of the world. T

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