AQA · Mathematics · 8300
GCSE Maths: Averages: median (grouped data)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Averages: median (grouped data) (Corbettmaths Video 52), 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 is linear interpolation used for when working with grouped data?
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To estimate the median (and quartiles) by assuming values are evenly distributed within each class interval.
In grouped data, where is the median value located?
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At the n/2 position (or (n+1)/2 depending on convention), where n is the total frequency.
What is the lower quartile position in a dataset?
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The n/4 position (or 25th percentile), where n is the total frequency.
What is the upper quartile position in a dataset?
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The 3n/4 position (or 75th percentile), where n is the total frequency.
How is the interquartile range calculated?
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Upper quartile minus lower quartile (Q₃ - Q₁).
When might the median be a better measure of central tendency than the mean?
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When the data is skewed or contains outliers, as the median is not affected by extreme values.
Why might a median appear lower than a mean for the same dataset?
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When the distribution is positively skewed (has high outliers), the mean is pulled upward by extreme values while the median stays at the middle position.
The interquartile range measures the spread of the middle ? of the data.
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