Interquartile Range Calculator

For the given set of data, the calculator will find the interquartile range (IQR), with steps shown.

Related calculators: Lower Quartile Calculator, Upper Quartile Calculator, Five Number Summary Calculator, Box and Whisker Plot Calculator

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Your Input

Find the IQR of $$$2$$$, $$$10$$$, $$$-1$$$, $$$-2$$$, $$$-10$$$, $$$5$$$, $$$-8$$$, $$$-9$$$, $$$-1$$$, $$$-1$$$, $$$8$$$, $$$1$$$, $$$8$$$, $$$6$$$, $$$9$$$.

Solution

The interquartile range (IQR, midspread, middle $$$50$$$%, H-spread) is equal to the difference between the percentile no. $$$75$$$ and the percentile no. $$$25$$$, or between the upper and lower quartiles.

The percentile no. $$$25$$$ is $$$-2$$$ (for steps, see percentile calculator).

The percentile no. $$$75$$$ is $$$8$$$ (for steps, see percentile calculator).

Finally, $$$IQR = 8 - \left(-2\right) = 10$$$.

Answer

The IQR is $$$10$$$A.