# Interquartile Range Calculator

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

Comma-separated.

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

The IQR is $10$A.