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Interquartile range
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EasyQuestion 1
[2 marks][Sample GCSE AQA question on Interquartile range - Easy difficulty]
This question tests foundational understanding of Interquartile range. Real exam-style questions will appear here once content is generated.
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MediumQuestion 2
[4 marks][Sample GCSE AQA question on Interquartile range - Medium difficulty]
This question requires applying Interquartile range concepts to a problem. Multi-step working is expected.
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HardQuestion 3
[6 marks][Sample GCSE AQA question on Interquartile range - Hard difficulty]
This challenging question combines Interquartile range with other concepts. Extended working and clear reasoning required.
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The interquartile range (IQR) measures the spread of the middle 50% of a data set. It's calculated by subtracting the lower quartile from the upper quartile: IQR = Q3 - Q1.
The IQR is more reliable than the range because it ignores extreme values at either end of the data. This makes it particularly useful when your data contains outliers that might distort the picture of how spread out the data really is.
In AQA GCSE Maths, you'll calculate the IQR from raw data, cumulative frequency diagrams, and box plots. On a box plot, the IQR is simply the length of the box (from left edge to right edge).
When comparing data sets, use both the median and the IQR. A smaller IQR means the data is more consistent (less spread out around the median), while a larger IQR indicates more variation. For example, if comparing test scores from two classes with the same median, the class with the smaller IQR performed more consistently.
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