Statistics & probability

Interquartile outlier finder

List values outside configurable interquartile-range fences.

Interquartile outlier finder
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Your inputs

Up to 50,000 values. No thousands separators. Absolute values up to 1 trillion; non-zero values must be at least 1e-100 in magnitude.

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A clear answer. Here’s how.

Computes Q1 and Q3 by inclusive linear interpolation (type 7). Flags values strictly below Q1−multiplier×IQR or above Q3+multiplier×IQR, retaining input positions. A flag is a descriptive rule, not a reason to delete an observation. Zero IQR can flag every value different from the quartiles.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Values, separated by commas or new lines
2, 4, 4, 4, 5, 5, 7, 9
IQR fence multiplier
1.5

Example result

Example result
Input positionValueFlag
89Above upper fence

Q1 4; Q3 5.5; IQR 1.5; fences 1.75 to 7.75. Type 7 quartiles.