Lesson S5

S5 Applying statistics to describe a population Quiz: AQA Maths, Unit 6

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson S5, Applying statistics to describe a population: 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. Which two types of statistical measure are used together to describe a population?

    • Mean and median
    • Frequency and total
    • Range and IQR
    • Average and spread

  2. Which type of statistical measure represents a typical value of a population?

    • An average
    • A spread
    • A frequency
    • A quartile

  3. What should conclusions about a population be primarily based on?

    • Representative sample data
    • Total population count
    • Personal opinions
    • Maximum values only

  4. Why are results from multiple samples of the same population compared?

    • To change averages
    • To increase range
    • To find outliers
    • To check consistency

  5. Mean income can be skewed by extreme values. Which measure gives a better typical income?

    • Mode
    • Total income
    • Range
    • Median

  6. Why is a random sample preferred when investigating a population?

    • It eliminates variance
    • It increases range
    • It guarantees accuracy
    • It reduces bias

  7. What part of a data set does a typical value describe?

    • The spread
    • The maximum
    • The centre
    • The total

  8. Which pair of summary statistics best describes a distribution?

    • Mean and median
    • Range and IQR
    • Average and spread
    • Mode and total

  9. A sample of 100 people sleeps an average of 7.5 hours. What is the best estimate of the population's average sleep?

    • 100 hours
    • 75 hours
    • 7.5 hours
    • 10000 hours

  10. Two random samples show mean scores of 62 and 58. What causes this difference?

    • Calculation error
    • Sampling variation
    • Biased questions
    • Population change

  11. What percentage of data lies within the interquartile range?

    • 75%
    • 25%
    • 50%
    • 100%

  12. A sample of 100 has 35 people with a property. What is the best estimate of the percentage of the population with it?

    • 65%
    • 35%
    • 100%
    • 3.5%

  13. Which single measure best describes the most common shoe size in a survey?

    • The range
    • The mode
    • The mean
    • The total

  14. Why is the median a good measure of typical value for skewed data?

    • Unaffected by outliers
    • Always equals mean
    • Easiest to calculate
    • Uses all values

  15. If the mean wage is much higher than the median wage, what causes this?

    • High extreme values
    • Low extreme values
    • Small sample size
    • Symmetrical distribution

  16. What process is only valid if a sample is representative of the whole population?

    • Calculating range
    • Finding the mode
    • Generalising results
    • Plotting a graph

  17. What best describes a prediction about a population made using sample data?

    • An estimate
    • A guaranteed total
    • An exact figure
    • A proven fact

  18. Set A has a sample median of 40. What is the estimated population median?

    • Exactly 40
    • About 40
    • Exactly 80
    • Always above 40

  19. Set A has a range of 6 and Set B has a range of 30. Which set is more consistent?

    • Both equal
    • Set B
    • Neither set
    • Set A

  20. (H) A sample of 300 items has mean 12. What is the estimated total for the 300 items?

    • 25
    • 300
    • 12
    • 3600

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