AQA · Mathematics · 8300
GCSE Maths: Graphs: histograms (draw)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Graphs: histograms (draw) (Corbettmaths Video 157), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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In a histogram, what does the height of each bar represent?
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Frequency density (not raw frequency).
What is the formula for frequency density?
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Frequency density = Frequency ÷ Class width
In a histogram, what does the area of each bar represent?
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The frequency (or number of data values in that class interval).
What is the key difference between a histogram and a bar chart?
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A histogram has no gaps between bars (continuous data), uses frequency density for height, and area represents frequency. A bar chart has gaps between bars (discrete/categorical data) and height represents frequency.
Why must histogram bars have different widths when class intervals have different widths?
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Because the area of each bar must represent frequency. If intervals have different widths, the heights (frequency densities) must be adjusted so that area = frequency.
What are the axes labels for a correctly drawn histogram?
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Horizontal axis: the variable being measured (e.g., age, mass, time). Vertical axis: frequency density.
When calculating an estimate of the mean from grouped data in a histogram, what value represents each class interval?
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The midpoint (middle value) of each class interval.
What formula is used to estimate the mean from grouped frequency data?
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Estimated mean = Σ(midpoint × frequency) ÷ Σ(frequency), or sum of (midpoint × frequency) divided by total frequency.
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