plumiChi-squared goodness of fit: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 2.2 Chi-squared goodness of fit, 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 11 questions on Chi-squared goodness of fit, as a list
- June 2025, Statistics Major, Q9 (13 marks): A consultant is modelling the number of trades per minute of a particular share in a stock exchange. The number of trades per minute in a random sample of 200 m
- June 2025, Statistics Minor, Q5 (13 marks): Long-term data collected at a certain farm indicates that 30% of eggs that it produces are large and the rest are categorised as medium. Eggs are collected in b
- June 2024, AS Statistics A, Q3 (14 marks): A glassware factory produces a large number of ornaments each week. Just before they leave the factory, all the ornaments are checked and some may be found to b
- June 2023, Statistics Minor, Q4 (13 marks): Eve lives in a narrow lane in the country. She wonders whether the number of vehicles passing her house per minute can be modelled by a Poisson distribution wit
- June 2023, AS Statistics A, Q6 (15 marks): An eight-sided dice has its faces numbered 1, 2, …, 8. (a) In this part of the question you should assume that the dice is fair. (i) State the probability that,
- June 2022, Statistics Minor, Q3 (15 marks): Jane wonders whether the number of wasps entering a wasp’s nest per 5 second interval can be modelled by a Poisson distribution with mean n. She counts the numb
- November 2021, Statistics Major, Q6 (14 marks): Cosmic rays passing through the upper atmosphere cause muons, and other types of particle, to be formed. Muons can be detected when they reach the surface of th
- November 2021, AS Statistics A, Q7 (13 marks): A biologist is investigating migrating butterflies. Fig. 7.1 shows the numbers of migrating butterflies passing her location in 100 randomly chosen one-minute p
- November 2020, Statistics Major, Q9 (16 marks): A supermarket sells trays of peaches. Each tray contains 10 peaches. Often some of the peaches in a tray are rotten. The numbers of rotten peaches in a random s
- June 2019, Statistics Minor, Q4 (17 marks): Zara uses a metal detector to search for coins on a beach. She wonders if the numbers of coins that she finds in an area of 10m2 can be modelled by a Poisson di
- June 2019, AS Statistics A, Q5 (13 marks): A researcher is investigating births of females and males in a particular species of animal which very often produces litters of 7 offspring. The table shows so
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