Lesson L3

L3 Measures of central tendency and standard deviation Quiz: AQA Maths, Unit 11

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson L3, Measures of central tendency and standard deviation: 20 multiple choice questions for the AQA Maths (7357), Unit 11: Statistics, written with Revision Ninja.

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The 20 questions

  1. What is the mean of a set of data?

    • The sum of the values divided by the number of values
    • The most frequent value
    • The middle value when ordered
    • The difference between the largest and smallest values

  2. What is the median of a set of data?

    • The middle value when the data are ordered
    • The average of the two extreme values
    • The sum of the values divided by two
    • The most common value

  3. What is the mode of a set of data?

    • The middle value
    • The range of the data
    • The most frequently occurring value
    • The mean of the modal values

  4. What does the standard deviation measure?

    • The position of the median
    • The number of data values
    • The spread of the data about the mean
    • The average value of the data

  5. What is the variance of a set of data?

    • The mean of the absolute deviations
    • The difference between the quartiles
    • The square root of the range
    • The mean of the squared deviations from the mean

  6. What is the mean of 2, 4, 6, 8 and 10?

    • 6
    • 30
    • 4
    • 5

  7. What is the median of 3, 3, 5, 7 and 9?

    • 6
    • 7
    • 3
    • 5

  8. What is the mode of 2, 3, 3, 5, 5, 5 and 7?

    • 3
    • 3.5
    • 5
    • 7

  9. Treating the data as the whole population, what is the standard deviation of 2, 4, 4, 4, 5, 5, 7 and 9?

    • 4
    • sqrt(32/7), about 2.14
    • 2
    • sqrt(32), about 5.66

  10. For a population of 10 values with sum 50 and sum of squares 310, what is the standard deviation?

    • sqrt(31), about 5.57
    • 6
    • 31
    • sqrt(6), about 2.45

  11. If 5 is added to every value in a data set, what happens to the standard deviation?

    • It increases by 25
    • It decreases by 5
    • It increases by 5
    • It stays the same

  12. If every value in a data set is multiplied by 3, what happens to the standard deviation?

    • It stays the same
    • It is multiplied by 3
    • It is multiplied by 9
    • It increases by 3

  13. A frequency table gives the value 1 with frequency 2, the value 2 with frequency 3, and the value 4 with frequency 5. What is the mean?

    • 2.8
    • 2.5
    • 3
    • 2.2

  14. Which average is most affected by an extreme outlier?

    • The median
    • The mean
    • The interquartile range
    • The mode

  15. A data set of salaries contains one very high earner. Which average best represents a typical value?

    • The range, since it shows spread
    • The mean, since it uses every value
    • The mode, since it always exists
    • The median, since it is less affected by the extreme value

  16. Group A has 4 values with mean 10 and group B has 6 values with mean 15. What is the mean of all 10 values combined?

    • 13
    • 12
    • 14
    • 12.5

  17. Five values have mean 8. One value of 20 is corrected to 10. What is the new mean?

    • 8
    • 7
    • 5
    • 6

  18. A coded variable is x' = (x - 10)/2, and the mean of x' is 3. What is the mean of x?

    • 3
    • 13
    • 16
    • 6

  19. Two data sets both have mean 50. Set A has standard deviation 4 and set B has standard deviation 10. Which is true?

    • Set B has greater spread, since its standard deviation is larger
    • Set A has greater spread
    • Both sets have the same spread
    • Set B has a higher mean

  20. A data set has mean 60 and standard deviation 5. How many standard deviations above the mean is the value 70?

    • 2 standard deviations below the mean
    • 10 standard deviations above the mean
    • 0.5 standard deviations above the mean
    • 2 standard deviations above the mean

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