Outlier Calculator

Tukey fences • Q1/Q3 methods • value:count supported

Enter data

Separators: comma, space, newline, semicolon. Frequency format: value:count where count is a positive integer.
k × IQR
Default is Tukey’s k=1.5. Use k=3 for extreme outliers.

Action

Enter values, then click Calculate.
Calculating…

Use this Outlier Calculator to identify possible low and high outliers with the interquartile range (IQR) and Tukey fence method.

Calculation Method

IQR = Q3 − Q1

For the standard 1.5 × IQR rule:

Lower fence = Q1 − 1.5 × IQR

Upper fence = Q3 + 1.5 × IQR

Values below the lower fence or above the upper fence are flagged as possible outliers.

Example

For the dataset:

2, 3, 4, 5, 6, 7, 8, 100

Using the split-half quartile method:

Q1 = 3.5

Q3 = 7.5

IQR = 7.5 − 3.5 = 4

Lower fence = −2.5

Upper fence = 13.5

Because 100 is above 13.5, it is flagged as a possible high outlier.

Important Note

A flagged value is not automatically an error and should not be deleted without investigation. Different quartile calculation methods can also produce slightly different Q1, Q3, and fence values.

Source

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