Outlier Calculator
Enter data
Action
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.