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Rule

Interquartile Range

One way to measure the spread of a data set is with the interquartile range, which is the difference between the third and the first quartile. The quartiles are found by dividing the data set into four equal-sized groups. A set of

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data values would be divided into groups with three data values in each.

The quartiles are the three values that divide the data set into four groups. They are denoted with $Q_{1}, Q_{2}$ and $Q_{3} .$ Notice that $Q_{2}$ is the median.

The interquartile range, or IQR, is calculated by subtracting the first quartile, $Q_{1},$ from the third, $Q_{3} .$

$Interquartile range = Q_{3} - Q_{1}$

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