Lesson L1

L1 Single-variable data diagrams and histograms Quiz: AQA Maths, Unit 11

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson L1, Single-variable data diagrams and histograms: 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 does the area of a bar in a histogram represent?

    • Frequency
    • Class width
    • Frequency density
    • Cumulative frequency

  2. How is frequency density calculated for a histogram class?

    • Frequency plus width
    • Frequency times width
    • Frequency divided by width
    • Width divided by frequency

  3. What is plotted on the vertical axis of a histogram with unequal class widths?

    • Frequency density
    • Frequency
    • Cumulative frequency
    • Class width

  4. How are adjacent bars positioned in a histogram for continuous data?

    • Separated by equal gaps
    • Randomly spaced
    • Touching with no gaps
    • Overlapping slightly

  5. What does a single bar's area divided by the total histogram area represent?

    • Relative frequency
    • Frequency density
    • Class width
    • Standard deviation

  6. A histogram class 0 to 10 has frequency 20. What is its frequency density?

    • 20
    • 0.5
    • 2
    • 200

  7. A histogram class from 10 to 30 has frequency 60. What is its frequency density?

    • 3
    • 20
    • 60
    • 1/3

  8. A histogram class from 20 to 50 has frequency density 2. How many values does the class contain?

    • 15
    • 60
    • 30
    • 2

  9. A histogram has bars 0 to 10 with frequency density 1.5, 10 to 20 with frequency density 3, and 20 to 40 with frequency density 1. How many values lie between 10 and 40?

    • 30
    • 20
    • 65
    • 50

  10. Using the same histogram, what is the proportion of values greater than 20?

    • About 0.31
    • About 0.46
    • About 0.15
    • About 0.69

  11. What type of skew is shown by a histogram with a long right tail?

    • Negative skew
    • Symmetrical distribution
    • Zero skew
    • Positive skew

  12. Using the histogram with total 65 values and class frequencies 15, 30 and 20, which class contains the median?

    • 0 to 10
    • 5 to 15
    • 20 to 40
    • 10 to 20

  13. What measure allows fair comparison between histograms with different class widths?

    • Frequency density
    • Raw frequency
    • Class width
    • Cumulative frequency

  14. A histogram bar has frequency density 4.5 and class width 6. What is its frequency?

    • 27
    • 4.5
    • 1.5
    • 10.5

  15. A histogram has a class 0 to 5 with frequency density 2 and a class 5 to 15 with frequency density 1.2. What is the total area of these two bars?

    • 3.2
    • 22
    • 12
    • 17

  16. Using the histogram with 65 values, what is the probability that a randomly chosen value lies in the 0 to 10 class, given 15 values there?

    • 3/13
    • 5/13
    • 1/5
    • 3/10

  17. Why does a sample histogram only approximate the true population distribution shape?

    • Sampling variation
    • Biased axes
    • Incorrect widths
    • Calculation errors

  18. A histogram class 60 to 80 has frequency 24. What is its frequency density?

    • 2.4
    • 0.83
    • 24
    • 1.2

  19. A bar of a histogram covers 25% of the total area. What proportion of the data does it represent?

    • 25% of the data
    • 2.5% of the data
    • 75% of the data
    • 25 units of data

  20. Which feature of a histogram is proportional to the total frequency?

    • Maximum height
    • Number of bars
    • Total bar area
    • Total axis length

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