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

In partnership with Revision Ninja

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.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. What does describing a population involve?

    • Collecting only one data point from each member of it
    • Ignoring the data and relying only on the sample size
    • Naming every member of the population in one list
    • Summarising it with averages, spread and representative data

  2. Which measure gives a typical value for a population?

    • An average such as the mean or median
    • The range only, which describes the spread
    • The number of members in the population
    • The sample size used in the survey

  3. What should a statement describing a population be based on?

    • The sample data and its limits
    • Ignoring sampling error
    • Certainty for every person
    • No numbers at all

  4. Why compare results from several samples when describing a population?

    • To get a mean of zero across all of the samples
    • To make the population smaller for easier analysis
    • To remove all outliers automatically from the data
    • To check whether the samples give similar conclusions

  5. A survey reports that the average income is 30000 pounds. What else is needed to judge a typical income?

    • Only the mode of a coin
    • The name of the sample
    • Only the population size
    • The median as well as the mean

  6. Why is a random sample used to describe a population?

    • To guarantee exact results
    • To avoid doing any calculations
    • To make the sample larger than the population
    • To make the sample representative and unbiased

  7. What does a typical value mean?

    • The largest value in the data set, at the top end
    • The range of the data, from smallest to largest
    • A value that represents the centre of the data
    • The least common value that appears in the data

  8. Which pair of measures gives a good description of a population?

    • The highest value and the total
    • Only one data point
    • An average and a measure of spread
    • The sample size and the name of the survey

  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 of 50 pupils give average scores of 62 for School A and 58 for School B. Which conclusion is reasonable?

    • School A is definitely better than School B, since its mean is higher
    • School A's sample scored higher, but sampling variation may explain the gap
    • School B is definitely worse than School A at this subject
    • The two samples must be identical in size and in scores

  11. The median height in a population is 160 cm and the interquartile range is 10 cm. What does the interquartile range tell you?

    • The tallest person is 10 cm taller
    • All heights are within 10 cm of 160
    • The middle half of heights spans 10 cm
    • The population has 10 members

  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. A survey has a median height of 160 cm. Is it fair to say that the typical person is about 160 cm?

    • Yes, the median gives a fair typical value
    • No, it is never fair to describe a typical value
    • Yes, but only for children
    • Yes, only if the mean is zero

  15. A population's wages have a mean much higher than the median. What does this suggest?

    • A few high values are pulling the mean up
    • All wages are the same
    • The sample is empty
    • The median has been calculated incorrectly

  16. Which conclusion about a population is only valid if the sample is random?

    • Calculating the mean of the sample that was collected
    • Drawing a bar chart of the sample results for the group
    • Generalising the sample result to the whole population
    • Finding the range of the sample values that were collected

  17. (H) A sample of 200 shows 60% support a plan. What caveat applies when predicting the support in a population of 10000?

    • The estimate depends on sampling, so it has uncertainty
    • There is no caveat, because the sample shows 60% support
    • The estimate is exact, since 60% of the sample supports it
    • The sample is larger than the population it was drawn from

  18. (H) A sample has a median of 40. What is the best conclusion about the population median?

    • The population median is exactly 40, with no uncertainty at all
    • The population median is estimated as about 40 with uncertainty
    • The population median is about 0, with the sample giving no clue
    • No conclusion about the population median is possible from it

  19. (H) Set A has mean 50 and range 6. Set B has mean 50 and range 30. Which set is more consistent?

    • Both are equally consistent
    • Set B
    • The comparison cannot be made
    • 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

All AQA Maths quizzes