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Interquartile Range Calculator
Find interquartile range step by step
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
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.