Sampling Statistics

Papers
Paper 2 (Statistics), Paper 3, Paper 3 (Statistics)
Level
AS and A level
Spec
S1.1
Since 2018
14 question parts, 21 marks

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Past-paper questions

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June 2025 · AS Paper 2 (Statistics) · Q2(a) 1 mark
2. Jasper is investigating the relationship between Daily Mean Pressure and Daily Mean Windspeed (Beaufort conversion) for Perth in 2015 using the data from the large data set. Treating the large data set for Perth in 2015 as the population, Jasper decides to use all the data available. (a) Write down the name given to this method of data collection. (1)
June 2025 · Paper 3 (Statistics) · Q4(a) 1 mark
4. Kay is studying the variables Daily Total Sunshine (x) and Daily Total Rainfall (y) from the large data set for Leeming in 2015 Kay starts with 5th May and then selects every 10th day thereafter. (a) State the name of the sampling technique Kay uses. (1)
June 2025 · Paper 3 (Statistics) · Q4(f) 2 marks
(f) For the test in part (e) describe (i) the sample, (ii) a possible population. (2)
June 2023 · Paper 3 (Statistics) · Q3(c) 2 marks
Ben suggests using the statistic calculated in part (b)(i) to estimate the annual mean Daily Total Rainfall in Leeming for 1987 (c) Using your knowledge of the large data set, (i) give a reason why these data would not be suitable, (ii) state, giving a reason, how you would expect the estimate in part (b)(i) to differ from the actual annual mean Daily Total Rainfall in Leeming for 1987 (2)
Oct 2021 · AS Paper 2 (Statistics) · Q3(a) 1 mark
3. Helen is studying one of the qualitative variables from the large data set for Heathrow from 2015. She started with the data from 3rd May and then took every 10th reading. There were only 3 different outcomes with the following frequencies Outcome A B C Frequency (a) State the sampling technique Helen used. (1)
Oct 2021 · AS Paper 2 (Statistics) · Q3(b) 2 marks
(b) From your knowledge of the large data set (i) suggest which variable was being studied, (ii) state the name of outcome A. (2)
Oct 2021 · AS Paper 2 (Statistics) · Q3(c) 1 mark
George is also studying the same variable from the large data set for Heathrow from 2015. He started with the data from 5th May and then took every 10th reading and obtained the following Outcome A B C Frequency Helen and George decided they should examine all of the data for this variable for Heathrow from 2015 and obtained the following Outcome A B C Frequency (c) State what inference Helen and George could reliably make from their original samples about the outcomes of this variable at Heathrow, for the period covered by the large data set in 2015. (1)
Oct 2021 · Paper 3 (Statistics) · Q1(a) 1 mark
1. (a) State one disadvantage of using quota sampling compared with simple random sampling. (1)
Oct 2020 · AS Paper 2 (Statistics) · Q4(a) 1 mark
4. A lake contains three different types of carp. There are an estimated 450 mirror carp, 300 leather carp and 850 common carp. Tim wishes to investigate the health of the fish in the lake. He decides to take a sample of 160 fish. (a) Give a reason why stratified random sampling cannot be used. (1)
Oct 2020 · AS Paper 2 (Statistics) · Q4(b) 2 marks
(b) Explain how a sample of size 160 could be taken to ensure that the estimated populations of each type of carp are fairly represented. You should state the name of the sampling method used. (2)
June 2019 · AS Paper 2 (Statistics) · Q1(a) 3 marks
1. A sixth form college has 84 students in Year 12 and 56 students in Year 13 The head teacher selects a stratified sample of 40 students, stratified by year group. (a) Describe how this sample could be taken. (3)
June 2018 · Paper 3 · Q4(a) 1 mark
4. Charlie is studying the time it takes members of his company to travel to the office. He stands by the door to the office from 08 40 to 08 50 one morning and asks workers, as they arrive, how long their journey was. (a) State the sampling method Charlie used. (1)
June 2018 · Paper 3 · Q4(b) 2 marks
(b) State and briefly describe an alternative method of non-random sampling Charlie could have used to obtain a sample of 40 workers. (2)
June 2018 · Paper 3 · Q4(c) 1 mark
Taruni decided to ask every member of the company the time, x minutes, it takes them to travel to the office. (c) State the data selection process Taruni used. (1)

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