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

OCR A-Level Maths past-paper questions on 2.02.1 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.

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  5. Q9

    November 2020 · Paper 2

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  6. Q8

    November 2020 · AS Paper 1

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All 7 questions on Histograms, box plots and cumulative frequency, as a list
  1. June 2025, Paper 2, Q9 (11 marks): Some students in a year-group took two tests, Test 1 and Test 2. The maximum mark in each test was 120. The students’ marks are illustrated in the cumulative fr
  2. June 2023, Paper 2, Q8 (7 marks): The stem-and-leaf diagram shows the heights, in centimetres, of 15 plants. | 0 | 2 | 1 | 0 | 2 | 4 | 3 | 0 2 4 9 | 4 | 1 2 4 7 9 | 5 | 3 7 | 6 | 2 Key: | 2 | 5
  3. June 2023, AS Paper 1, Q10 (9 marks): The masses of a random sample of 120 boulders in a certain area were recorded. The results are summarized in the histogram. Frequency density 35 40 50 55 60 65
  4. June 2022, Paper 2, Q9 (14 marks): The heights, in centimetres, of a random sample of 150 plants of a certain variety were measured. The results are summarised in the histogram. Frequency density
  5. November 2020, Paper 2, Q9 (4 marks): The histogram shows information about the numbers of cars in five different price ranges, sold in one year at a car showroom. Frequency density 0.007 0.006 0.00
  6. November 2020, AS Paper 1, Q8 (5 marks): The histogram shows information about the lengths, l centimetres, of a sample of worms of a certain species. Frequency density 0 1 2 3 4 5 6 7 8 9 10 Length (lc
  7. June 2019, AS Paper 1, Q8 (3 marks): (a) Joseph drew a histogram to show information about one Local Authority. He used data from the “Age structure by LA 2011” tab in the large data set. The table

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