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IQR Outlier Fence Calculator — result sheet
Calculate Tukey outlier fences and classify one value using first and third quartiles.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: IQR=Q3−Q1; lower fence=Q1−1.5×IQR; upper fence=Q3+1.5×IQR.
The interquartile range, both fences, and the selected value's classification are returned together.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Value to classify — minimum -1000000000; maximum 1000000000
- First quartile Q1 — minimum -1000000000; maximum 1000000000
- Third quartile Q3 — minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Value to classify | 18 |
| First quartile Q1 | 4 |
| Third quartile Q3 | 12 |
IQR =8; upper fence =24; 18 is not an outlier.
Assumptions and limits
- Q3 is not less than Q1 and the quartiles come from a compatible data set.
- The 1.5-IQR Tukey rule is used for a descriptive flag.
- Influence, leverage, distribution shape, and automatic data deletion are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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