AQA · Mathematics · 8300
GCSE Maths: Graphs: frequency polygons (draw)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Graphs: frequency polygons (draw) (Corbettmaths Video 155), 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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What type of graph is a frequency polygon?
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A line graph used to display frequency distributions, with points plotted at the midpoint of each class interval and connected by straight lines.
How do you find the modal class from a frequency polygon?
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Identify the class interval with the highest point (peak) on the frequency polygon.
To find the total number of people surveyed from a frequency polygon, what must you do?
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Add up all the frequency values at each point on the polygon.
What is the range in a frequency polygon?
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The difference between the highest and lowest values (or class intervals) shown on the horizontal axis.
How do you calculate the median from a frequency polygon?
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Find the middle position (n/2 if n values total), then identify which class interval or value contains that position by counting cumulative frequencies.
What are frequency polygons particularly useful for when comparing data?
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Comparing two or more distributions on the same grid, making it easy to see patterns and differences between groups.
How do you find probability from a frequency polygon?
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Divide the frequency of the desired outcome by the total frequency (sum of all frequencies).
On a frequency polygon, where are the points plotted for grouped data?
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At the midpoint of each class interval, at a height equal to the frequency.
What two pieces of information do you need to plot each point on a frequency polygon?
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The midpoint of the class interval (x-coordinate) and the frequency (y-coordinate).
How do you calculate the midpoint of a class interval 20 < t ≤ 40?
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Add the lower and upper bounds and divide by 2: (20 + 40) ÷ 2 = 30.
What is the formula for estimating the mean from grouped frequency data?
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Sum of (midpoint × frequency) divided by total frequency: Σ(x·f) ÷ Σf.
Why is the mean calculated from grouped data called an 'estimate'?
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Because we use the midpoint to represent all values in each class interval, not the actual individual data values.
To find the total frequency from a frequency table, calculate ?.
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Σf
After plotting points on a frequency polygon, what do you do to complete the graph?
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Join the points with straight lines.
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