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. In a histogram, what does the area of a bar represent?

    • Frequency
    • The mean of the class
    • Class width
    • Cumulative frequency only

  2. What is frequency density in a histogram?

    • Frequency plus class width
    • Frequency multiplied by class width
    • Frequency divided by class width
    • Class width divided by frequency

  3. What must be plotted on the vertical axis of a histogram when class widths are unequal?

    • Frequency density
    • Frequency
    • The class widths
    • The number of classes

  4. How do the bars of a histogram differ from those of a bar chart for continuous data?

    • The histogram bars have gaps
    • The histogram shows only proportions
    • The histogram bars touch, with no gaps
    • The histogram bars are always the same height

  5. Because the total area of a histogram is proportional to total frequency, what can a bar's share of the total area represent?

    • The proportion of the data in that class, which relates to probability
    • The median of the data
    • The mean of the data
    • The variance of the data

  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. A histogram has a long tail to the right. What does this suggest about the shape of the data?

    • Negative skew, with the mean less than the median
    • A uniform distribution with no peak
    • A symmetric distribution with the mean equal to the mode only
    • Positive skew, with the mean usually greater than the median

  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. Two histograms have different class widths. Which step is needed before comparing their shapes fairly?

    • Compare frequency densities, not raw frequencies
    • Compare raw frequencies only
    • Replace the histograms with bar charts
    • Make all classes contain equal frequencies

  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 the histogram of a sample only approximate the shape of the population distribution?

    • The sample is a subset, so its shape varies from sample to sample
    • Frequency densities are always whole numbers
    • Class widths are chosen at random
    • Histograms are always exact

  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. What feature of a histogram shows the total number of data values?

    • The height of the tallest bar alone
    • The width of the first class
    • The total area of all the bars, which is proportional to total frequency
    • The number of bars

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