AQA · Mathematics · 8300
GCSE Maths: Graphs: stem and leaf (draw)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Graphs: stem and leaf (draw) (Corbettmaths Video 169), 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 stem and leaf diagram, what does the 'stem' typically represent?
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The tens digit (or higher place values) of the numbers being displayed.
In a stem and leaf diagram, what does the 'leaf' typically represent?
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The units digit (or lowest place value) of the numbers being displayed.
What does 'ordered' mean in the context of an ordered stem and leaf diagram?
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The leaves are arranged in ascending order (from smallest to largest) within each stem.
How do you find the mode from a stem and leaf diagram?
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The mode is the value that appears most frequently in the diagram (the leaf that appears most often with its corresponding stem).
How do you find the range from a stem and leaf diagram?
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Subtract the smallest value (first leaf on the first stem) from the largest value (last leaf on the last stem).
How do you find the median from a stem and leaf diagram?
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Count all the leaves to find the middle position. For n values, the median is at position (n+1)/2. If there's an even number of values, take the mean of the two middle values.
In a stem and leaf diagram with key '10|4 = 104', what does the value '12|5' represent?
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The value 125. The stem (12) represents the tens and hundreds places, while the leaf (5) represents the units place.
When adding a new data point to a stem and leaf diagram, what effect does it have on the range if the new value falls between the existing minimum and maximum?
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The range stays the same, because range is determined only by the maximum and minimum values.
Why is a stem and leaf diagram useful compared to a simple list of numbers?
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It displays data in an organized way that shows both the individual values and the distribution/shape of the data, making it easier to find the mode, median, and range.
If a stem and leaf diagram shows stem values 1, 2, and 3, what range of data values can it display?
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Values from 10 to 39 (assuming standard tens/units format where stems represent tens digits).
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