AQA · Mathematics · 8300
GCSE Maths: Averages: median (frequency table)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Averages: median (frequency table) (Corbettmaths Video 51), 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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How do you find the median from a frequency table when you have individual values (not grouped data)?
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Use cumulative frequency to find which value is at the middle position. Add frequencies from the top until you reach or pass the middle position (n+1)/2.
What is the range of a data set?
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The difference between the highest and lowest values. Range = maximum value - minimum value.
When data is grouped in class intervals, can you find the exact median value?
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No, you can only identify which class interval contains the median, not the exact value.
For grouped data in a frequency table, how do you find which class interval contains the median?
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Calculate cumulative frequencies and find the position of the median (n+1)/2 or n/2. The class interval where the cumulative frequency first reaches or exceeds this position contains the median.
When adding new data values to a frequency table, what condition keeps the median in the same position?
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The new median position (calculated with the increased n) must still fall on the same value or within the same class interval as before.
What does it mean if the median from a frequency table is 1.5?
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The median lies between two consecutive integer values (1 and 2), typically because the middle position falls between two data points with different values.
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