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Lower Outlier Fence Calculator — result sheet
Calculate interquartile range and the lower Tukey outlier fence from 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.
The page calculates the conventional exploratory lower fence and keeps it distinct from a formal hypothesis-test threshold.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First quartile Q1 — minimum -1000000000000; maximum 1000000000000
- Third quartile Q3 — minimum -1000000000000; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| First quartile Q1 | 10 |
| Third quartile Q3 | 18 |
IQR =8; lower fence =−2.
Assumptions and limits
- Q3 is at least Q1 and both quartiles use one scale.
- The 1.5×IQR Tukey convention is selected.
- Distribution shape, sample size, and robust inference 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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