AQA · Mathematics · 8300
GCSE Maths: Graphs: frequency polygons (reading)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Graphs: frequency polygons (reading) (Corbettmaths Video 156), 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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When reading a frequency polygon, what does the height of each point represent?
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The frequency (or count) of items in that category or class interval.
How do you find the total number surveyed from a frequency polygon?
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Add up all the frequencies (heights) at each point on the polygon.
What is the modal class or modal value on a frequency polygon?
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The category or class interval with the highest point (greatest frequency) on the polygon.
How do you calculate the range from a frequency polygon?
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Subtract the lowest value (or class boundary) from the highest value (or class boundary) shown on the horizontal axis.
To find the median from a frequency polygon, what must you first determine?
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The middle position by calculating (n+1)/2 or n/2, where n is the total frequency, then locate which class interval or value contains that position.
How do you estimate the mean from a grouped frequency polygon?
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Multiply the midpoint of each class interval by its frequency, sum these products, then divide by the total frequency: Σ(midpoint × frequency) ÷ Σfrequency.
Why might you draw two frequency polygons on the same axes?
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To compare two distributions side-by-side, such as comparing different groups or categories (e.g., boys vs. girls, Year 7 vs. Year 11).
How do you find the probability of a randomly selected person having a specific attribute from a frequency polygon?
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Divide the frequency for that specific value or class by the total frequency: P = frequency of attribute ÷ total frequency.
What is a frequency polygon used to display?
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The distribution of data across class intervals, typically shown by plotting frequencies at the midpoint of each interval and connecting them with straight lines.
When drawing a frequency polygon from grouped data, where should each point be plotted?
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At the midpoint of each class interval, at the height of the frequency.
In a frequency table with grouped data, what is the modal class interval?
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The class interval with the highest frequency.
Why is the mean calculated from grouped data called an 'estimate'?
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Because we use the midpoint of each class interval to represent all values in that interval, not the actual individual data values.
What is the midpoint of the class interval 40 < t ≤ 60?
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50 (calculated as (40 + 60) ÷ 2).
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