Lesson 2.01d

2.01d Selecting and critiquing sampling techniques Quiz: OCR Maths, Unit 11

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2.01d, Selecting and critiquing sampling techniques: 20 multiple choice questions for the OCR Maths (H240), Unit 11: Statistical Sampling, written with Revision Ninja.

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The 20 questions

  1. Which main risk is associated with using systematic sampling on ordered data?

    • Periodic patterns
    • High selection cost
    • Small sample size
    • Non-overlapping strata

  2. In a standard histogram with variable class intervals, what does bar area represent?

    • Class width
    • Frequency
    • Frequency density
    • Cumulative frequency

  3. Which sampling method selects items at regular fixed intervals from an ordered list?

    • Systematic sampling
    • Cluster sampling
    • Quota sampling
    • Stratified sampling

  4. Which non-random sampling technique stops collecting data once category targets are reached?

    • Cluster sampling
    • Stratified sampling
    • Systematic sampling
    • Quota sampling

  5. Which sampling method randomly selects entire pre-existing groups rather than individual members?

    • Quota sampling
    • Stratified sampling
    • Systematic sampling
    • Cluster sampling

  6. Why can two different random samples from the same population yield different estimates?

    • Biased sampling frame
    • Natural sample variation
    • Calculation error
    • Incorrect population size

  7. A population has 100 men and 200 women. How many women are in a stratified sample of 30?

    • 15
    • 10
    • 20
    • 25

  8. How is frequency density calculated for a class interval in a histogram?

    • Frequency times width
    • Frequency plus width
    • Frequency over width
    • Width over frequency

  9. A histogram class of width 10 has a frequency of 50. What is its frequency density?

    • 50
    • 5
    • 500
    • 0.2

  10. Which sampling method requires a complete list of every individual in the population?

    • Convenience sampling
    • Quota sampling
    • Opportunity sampling
    • Simple random sampling

  11. What is the primary statistical drawback of using quota sampling instead of stratified sampling?

    • High implementation cost
    • Complex numerical calculations
    • Requires sampling frame
    • Non-random selection bias

  12. Which sampling technique is most cost-effective when surveying geographically dispersed populations?

    • Cluster sampling
    • Simple random sampling
    • Systematic sampling
    • Stratified sampling

  13. If class width doubles while frequency stays constant, what happens to frequency density?

    • It halves
    • It stays constant
    • It doubles
    • It quadruples

  14. Selecting every twentieth person from an alphabetical list is an example of which sampling method?

    • Cluster sampling
    • Systematic sampling
    • Stratified sampling
    • Quota sampling

  15. A histogram bar of area 12 square centimetres represents a frequency of 36. What frequency does 1 square centimetre represent?

    • 12
    • 3
    • 48
    • 0.33

  16. Which feature makes stratified sampling preferable to simple random sampling when subgroups differ?

    • Ensures subgroup representation
    • Faster data collection
    • Requires no frame
    • Eliminates selection bias

  17. Why is sampling without replacement acceptable when sampling from a very large population?

    • Population becomes homogeneous
    • Selection bias disappears
    • Probabilities remain constant
    • Sample size increases

  18. Which data display retains all original raw data values while showing the distribution shape?

    • Cumulative frequency graph
    • Box-and-whisker plot
    • Histogram
    • Stem-and-leaf diagram

  19. Which statistical diagram directly displays the median, lower quartile, and upper quartile?

    • Box-and-whisker plot
    • Stem-and-leaf diagram
    • Histogram
    • Bar chart

  20. A histogram class has a width of 4 and a frequency density of 6. What is the class frequency?

    • 10
    • 0.67
    • 24
    • 1.5

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