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Quartiles
AQA GCSE Mathematics practice questions with step-by-step solutions
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EasyQuestion 1
[2 marks][Sample GCSE AQA question on Quartiles - Easy difficulty]
This question tests foundational understanding of Quartiles. Real exam-style questions will appear here once content is generated.
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MediumQuestion 2
[4 marks][Sample GCSE AQA question on Quartiles - Medium difficulty]
This question requires applying Quartiles concepts to a problem. Multi-step working is expected.
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HardQuestion 3
[6 marks][Sample GCSE AQA question on Quartiles - Hard difficulty]
This challenging question combines Quartiles with other concepts. Extended working and clear reasoning required.
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Quartiles divide an ordered data set into four equal parts. The lower quartile (Q1) is the value one-quarter of the way through the data, the median (Q2) is halfway, and the upper quartile (Q3) is three-quarters of the way through.
To find quartiles, first arrange your data in ascending order. For the lower quartile, find the median of the lower half of the data. For the upper quartile, find the median of the upper half. When the data set has an odd number of values, don't include the median in either half when finding Q1 and Q3.
Quartiles are particularly useful when comparing data sets or identifying how spread out the middle 50% of data is. They're less affected by extreme values than the range, making them more reliable for describing typical spread.
In AQA GCSE Maths exams, you'll find quartiles from raw data, stem-and-leaf diagrams, and cumulative frequency graphs. From cumulative frequency graphs, read across from n÷4 for Q1 and 3n÷4 for Q3, where n is the total frequency.
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