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Quartiles Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Quartiles
Values that divide a data set into four equal parts, each containing 25% of the data.
Lower Quartile (Q1)
The value that separates the lowest 25% of the data from the rest. It is the median of the lower half of the data.
Median (Q2)
The middle value of a data set when it is ordered. It separates the data into two equal halves.
Upper Quartile (Q3)
The value that separates the highest 25% of the data from the rest. It is the median of the upper half of the data.
Interquartile Range (IQR)
The difference between the upper quartile (Q3) and the lower quartile (Q1). It measures the spread of the middle 50% of the data.
How to find Q1
Order the data, find the median of the lower half of the data (not including the overall median if the number of data points is odd).
How to find Q3
Order the data, find the median of the upper half of the data (not including the overall median if the number of data points is odd).
What does IQR show?
The interquartile range shows how spread out the middle 50% of the data is. A smaller IQR indicates less variability.
Quartiles in a cumulative frequency graph
The lower quartile (Q1), median (Q2), and upper quartile (Q3) can be estimated by finding the 25th, 50th, and 75th percentiles on the graph.
Why use IQR instead of range?
The IQR is less affected by extreme values (outliers) than the range, making it a better measure of spread for skewed data.

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