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

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Your Input

Find the IQR of 22, 1010, 1-1, 2-2, 10-10, 55, 8-8, 9-9, 1-1, 1-1, 88, 11, 88, 66, 99.

Solution

The interquartile range (IQR, midspread, middle 5050%, H-spread) is equal to the difference between the percentile no. 7575 and the percentile no. 2525, or between the upper and lower quartiles.

The percentile no. 2525 is 2-2 (for steps, see percentile calculator).

The percentile no. 7575 is 88 (for steps, see percentile calculator).

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

Answer

The IQR is 1010A.