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. How is the arithmetic mean of a data set calculated?

    • Sum divided count
    • Most frequent value
    • Middle ordered value
    • Highest minus lowest

  2. What is the median of an ordered data set?

    • The middle value
    • The arithmetic average
    • The total sum
    • The most frequent

  3. What does the mode of a data set represent?

    • The middle value
    • The total range
    • Most frequent value
    • The arithmetic mean

  4. What property of a data set does standard deviation measure?

    • Total sum
    • Skewness of distribution
    • Spread around mean
    • Central tendency

  5. What is the standard deviation in terms of variance?

    • Double
    • Half
    • Square
    • Square root

  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. How does adding 5 to every value in a data set affect standard deviation?

    • Multiplies by 5
    • Decreases by 5
    • Increases by 5
    • Remains unchanged

  12. How does multiplying every value in a data set by 3 affect standard deviation?

    • Increases by 3
    • Multiplies by 3
    • Multiplies by 9
    • Remains unchanged

  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. Which measure of central tendency is best for data containing extreme outliers?

    • Mode
    • Mean
    • Range
    • Median

  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. Set A has standard deviation 4 and Set B has standard deviation 10. Which set has greater spread?

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

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

    • 1
    • 5
    • 10
    • 2

All AQA Maths quizzes