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The normal distribution: Edexcel A‑Level Maths questions

Edexcel A-Level Maths past-paper questions on 4.2 The normal distribution, 2010–2025, 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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  1. Q5

    June 2025 · Statistics

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  2. Q5

    June 2024 · Statistics

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  3. Q4

    June 2023 · Statistics

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  4. Q6

    June 2023 · Statistics

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  5. Q2

    June 2022 · Statistics

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  10. Q5

    June 2018 · Statistics and Mechanics

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All 10 questions on The normal distribution, as a list
  1. June 2025, Statistics, Q5 (10 marks): The heights of men in a tennis club are normally distributed with a mean of 183 cm and a standard deviation of 4.9 cm. A man from the tennis club is selected at
  2. June 2024, Statistics, Q5 (10 marks): The records for a school athletics club show that the height, H metres, achieved by students in the high jump is normally distributed with mean 1.4 metres and s
  3. June 2023, Statistics, Q4 (6 marks): A study was made of adult men from region A of a country. It was found that their heights were normally distributed with a mean of 175.4 cm and standard deviati
  4. June 2023, Statistics, Q6 (14 marks): A medical researcher is studying the number of hours, T, a patient stays in hospital following a particular operation. The histogram on the page opposite summar
  5. June 2022, Statistics, Q2 (12 marks): A manufacturer uses a machine to make metal rods. The length of a metal rod, L cm, is normally distributed with • a mean of 8 cm • a standard deviation of x cm
  6. November 2021, Statistics, Q5 (11 marks): The heights of females from a country are normally distributed with • a mean of 166.5 cm • a standard deviation of 6.1 cm Given that 1% of females from this cou
  7. November 2020, Statistics, Q5 (15 marks): A health centre claims that the time a doctor spends with a patient can be modelled by a normal distribution with a mean of 10 minutes and a standard deviation
  8. June 2019, Statistics, Q2 (11 marks): FEFEEeee ceedsEeeEEREEEEEC rT T TT %' +. | TT 7. | || | |. . . | || - . TT. Tt TIT TI -T T T 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3
  9. June 2019, Statistics, Q5 (13 marks): A machine puts liquid into bottles of perfume. The amount of liquid put into each bottle, Dm, follows a normal distribution with mean 25 ml Given that 15% of bo
  10. June 2018, Statistics and Mechanics, Q5 (14 marks): The lifetime, L hours, of a battery has a normal distribution with mean 18 hours and standard deviation 4 hours. Alice’s calculator requires 4 batteries and wil

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