Calculator Uni

Interquartile Range Calculator

Compute quartiles, IQR, and outlier fences for a data set.

Data set

Interquartile range

28

Q1 / median / Q3

15 / 40 / 43

Outlier fences

-27 to 85

Outliers

none

The robust middle

The IQR spans the middle half of the data, from the 25th to the 75th percentile. Unlike the range or standard deviation, it ignores extreme values entirely — one billionaire in the sample can't move it — which is why box plots are built on it.

The 1.5×IQR fence

Tukey's convention flags values beyond 1.5 IQRs outside the quartiles as outliers — the whisker limit on box plots. It's a screening rule, not a verdict: flagged points deserve investigation (data error? genuine extreme?), not automatic deletion.

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