S1 infer properties of populations or distributions from a sample, while knowing the... Quiz: Pearson Edexcel Maths, Unit 6

The 20 questions

1. What term describes a subset of a population used to draw conclusions about the whole?

   • Sample
   • Statistic
   • Census
   • Parameter

2. What is a major limitation when using a sample to represent a population?

   • Always perfectly accurate
   • No variation exists
   • Covers everyone
   • Results can vary

3. A school has 800 pupils. A sample of 50 shows 20 like school lunch. Estimate how many of all 800 like lunch.

   • 50
   • 320
   • 20
   • 800

4. What is a major limitation of surveying shoppers at one mall at 10am?

   • May be biased
   • Data is continuous
   • Cost is too high
   • Sample is too large

5. A survey of 2000 voters gives 35% in favour. Estimate the number of voters in the population who are in favour if the survey represents the population well.

   • 350
   • 700
   • 35
   • 5714

6. Which sample is most likely to be representative of a national population?

   • Random national sample
   • Ten volunteers
   • Online self-select
   • One local town

7. A sample of 40 students from a school of 200 shows 16 own a bike. Estimate the number of students in the school who own a bike.

   • 40
   • 80
   • 200
   • 16

8. What is the typical effect of using a larger sample size in statistics?

   • More bias
   • Higher cost only
   • Greater error
   • Less variation

9. What causes differences between sample results and the true population value?

   • Wrong operation
   • Formula failure
   • Chance variation
   • Calculation error

10. A population has 3000 pupils. A sample of 150 contains 45 left-handed pupils. Estimate the number of left-handed pupils in the population.

    • 45
    • 150
    • 900
    • 300

11. Which practice must be avoided to keep a sample representative?

    • Selection bias
    • Avoiding convenience
    • Random selection
    • Using large samples

12. A survey of 50 adults finds 60% support a plan. Estimate the number of supporters among 2000 adults.

    • 30
    • 3000
    • 1200
    • 60

13. What is the main limitation of using one class to estimate whole-school height?

    • May be biased
    • Zero variation
    • Too many pupils
    • Always exact

14. Which term describes a sample chosen so that every member of the population has an equal chance of selection?

    • Quota sample
    • Random sample
    • Convenience sample
    • Volunteer sample

15. A random sample of 500 voters gives 255 for Party A. What is the estimated percentage of voters for Party A?

    • 255%
    • 25.5%
    • 49%
    • 51%

16. Why might two random samples of the same size give different estimates?

    • Biased researcher
    • Wrong sample size
    • Chance variation
    • Mathematical error

17. A random sample of 60 is taken from a population of 900. The sample contains 12 people with a certain feature. Estimate the number in the population with the feature.

    • 60
    • 180
    • 900
    • 12

18. In a capture-recapture study, 50 animals are tagged. A later sample of 40 contains 10 tagged animals. Estimate the population size.

    • 200
    • 10
    • 400
    • 40

19. Why do small samples give less reliable estimates of a population?

    • Zero bias
    • Perfect accuracy
    • Larger chance effect
    • No variation

20. What is a major limitation of taking a random sample from an internet panel?

    • Excludes offline people
    • Sample size is small
    • Data is qualitative
    • Too expensive

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