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Interquartile Range Flashcards
GCSE Mathematics (Edexcel) 1MA1
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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.
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.
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.
How to calculate IQR
Find Q1 and Q3, then subtract Q1 from Q3: IQR = Q3 - Q1.
Purpose of IQR
The IQR is used to measure the spread of the middle 50% of the data and is less affected by extreme values (outliers).
Finding Q1 in an odd dataset
Divide the dataset into two halves (excluding the median). Q1 is the median of the lower half.
Finding Q3 in an odd dataset
Divide the dataset into two halves (excluding the median). Q3 is the median of the upper half.
Finding Q1 in an even dataset
Divide the dataset into two halves. Q1 is the median of the lower half.
Finding Q3 in an even dataset
Divide the dataset into two halves. Q3 is the median of the upper half.
IQR and outliers
Outliers are often identified as values that are more than 1.5 × IQR below Q1 or above Q3.

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