Lesson S1

S1 Inferring population properties from samples Quiz: AQA Maths, Unit 6

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson S1, Inferring population properties from samples: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 6: Statistics, written with Revision Ninja.

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The 20 questions

  1. In statistics, what term refers to the whole group being studied?

    • Population
    • Census
    • Frequency
    • Sample

  2. In statistics, what term refers to a smaller group chosen from a population?

    • Parameter
    • Statistic
    • Sample
    • Population

  3. What is a key advantage of using a sample rather than a census?

    • Includes everyone
    • More accurate results
    • Zero sampling bias
    • Quicker and cheaper

  4. What is a main disadvantage of using a sample instead of a census?

    • Always gives bias
    • Costs much more
    • May be unrepresentative
    • Takes more time

  5. In a random sample, what chance does each member of the population have?

    • A guaranteed selection
    • An equal chance
    • A higher chance
    • No chance

  6. Which action best increases how representative a sample is of the population?

    • Increasing sample size
    • Using convenience sampling
    • Decreasing sample size
    • Choosing one group

  7. Sampling students from just one class to represent a whole school causes what issue?

    • Sampling bias
    • High cost
    • Random variation
    • Census error

  8. What term describes a list of all members of a population used to select a sample?

    • Census list
    • Sample size
    • Frequency table
    • Sampling frame

  9. A school has 800 students. A random sample of 80 includes 24 who say they walk to school. What is the best estimate for the whole school?

    • 240
    • 800
    • 80
    • 24

  10. A sample of 50 light bulbs contains 3 defective bulbs. What is the best estimate for the number of defective bulbs in a batch of 2000?

    • 120
    • 60
    • 300
    • 3

  11. In a survey of 200 people, 60 prefer brand A. What is the best estimate of the number preferring brand A in a population of 5000?

    • 60
    • 750
    • 200
    • 1500

  12. A sample of 30 gives a mean of 14.2. What is the best estimate of the population mean?

    • 14
    • 14.2
    • 0
    • 30

  13. Which type of sample provides the least reliable estimate of a population mean?

    • Large random sample
    • Large census
    • Stratified sample
    • Small biased sample

  14. A survey of 1000 adults finds 40% support a plan. What is the best estimate for 60000 adults?

    • 60000
    • 4000
    • 24000
    • 40000

  15. What type of question pushes respondents towards a specific answer?

    • Leading question
    • Open question
    • Stratified question
    • Random question

  16. What name is given to a survey that collects data from every member of a population?

    • Census
    • Stratified sample
    • Random sample
    • Sample frame

  17. In stratified sampling, how are sub-groups represented in the sample?

    • Proportional to population
    • Alphabetical order
    • Completely at random
    • Equal numbers each

  18. (H) A sample of 40 has a mean of 12.5. The population has 500 members. What is the estimated population total?

    • 40
    • 12.5
    • 6250
    • 500

  19. Compared to a small sample, what does a larger sample generally provide?

    • More reliable estimate
    • Higher variance
    • Greater sampling bias
    • Less accurate mean

  20. (H) A survey of 100 people finds 45% prefer option X. What is the best estimate of the number in a population of 2000 who prefer X?

    • 450
    • 900
    • 45
    • 1800

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