AQA GCSE Maths

Sampling methods

AQA GCSE Maths revision on Sampling methods. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 16 practice questions on this topic.

Sample questions (3 of 16)

  1. Question 1

    A researcher surveys every 10th person entering a stadium. Which sampling method is this?

    • A) Random sampling
    • B) Systematic sampling
    • C) Stratified sampling
    • D) Quota sampling
    Show answer

    Answer: Systematic sampling

    Systematic sampling involves selecting members of a population at regular intervals. Because the researcher is selecting every 10th person, they are following a fixed, periodic rule rather than choosing individuals completely at random or based on specific subgroups.

  2. Question 2

    Why is a sample of 50 people from a school of 1000 pupils unlikely to be representative if chosen only from the Year 7 playground?

    • A) The sample size is too large
    • B) The sample is biased
    • C) The data will be secondary
    • D) The population is too small
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    Answer: The sample is biased

    Bias occurs when certain members of the population are more likely to be selected than others. By limiting the survey to Year 7 pupils, the sample fails to represent the opinions or traits of students in older year groups, leading to non-representative results.

  3. Question 3

    In stratified sampling, what determines the number of people selected from each sub-group (stratum)?

    • A) The size of the sub-group relative to the total population
    • B) The ease of access to the participants
    • C) The average age of the participants
    • D) The chronological order of their arrival
    Show answer

    Answer: The size of the sub-group relative to the total population

    To ensure fairness, the proportion of each subgroup in the sample must match the proportion of that subgroup in the total population. This prevents larger groups from being under-represented or smaller groups from being over-represented.

Want to test yourself on the remaining cards for this topic?

13 more questions on Sampling methods — plus mistakes tracking and spaced repetition across the whole Maths spec.