Interquartile Range Flashcards

GCSE Mathematics (Edexcel) 1MA1

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.

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Terms in this set (10)

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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.

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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.

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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.

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How to calculate IQR

Find Q1 and Q3, then subtract Q1 from Q3: IQR = Q3 - Q1.

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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).

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Finding Q1 in an odd dataset

Divide the dataset into two halves (excluding the median). Q1 is the median of the lower half.

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Finding Q3 in an odd dataset

Divide the dataset into two halves (excluding the median). Q3 is the median of the upper half.

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Finding Q1 in an even dataset

Divide the dataset into two halves. Q1 is the median of the lower half.

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Finding Q3 in an even dataset

Divide the dataset into two halves. Q3 is the median of the upper half.

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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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