plumiSampling distributions and the central limit theorem: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 7.1 Sampling distributions and the central limit theorem, 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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All 6 questions on Sampling distributions and the central limit theorem, as a list
- June 2025, Statistics, Q3 (9 marks): The length, in cm, of sand lizards when fully grown is a random variable which is known to have the distribution N(13.2, .3 42). Some scientists discover a colo
- June 2024, Statistics, Q3 (11 marks): Research suggests that the mean reading age of a child about to start secondary school is 10.75. The reading ages, X years, of a random sample of 80 children wh
- June 2023, Statistics, Q3 (6 marks): The discrete random variable W has the distribution U(11). The independent discrete random variable V has the distribution U(5). (a) It is given that, for const
- June 2022, Statistics, Q6 (7 marks): The random variable X was assumed to have a normal distribution with mean n. Using a random sample of size 128, a significance test was carried out using the fo
- November 2021, Statistics, Q4 (9 marks): A random sample of 160 observations of a random variable X is selected. The sample can be summarised as follows. x2 = n = 160 x = 2688 48 398 / / (a) Calculate
- June 2019, Statistics, Q4 (9 marks): The greatest weight W N that can be supported by a shelving bracket of traditional design is a normally distributed random variable with mean 500 and standard d
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