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Upper Tukey Fence Calculator — result sheet
Calculate the upper exploratory fence from first and third quartiles using the 1.5-IQR convention.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: IQR=Q3−Q1; upper fence=Q3+1.5×IQR.
The upper fence is an exploratory reference derived from the supplied quartiles, not a proof that a point is erroneous.
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 | 12 |
| Third quartile Q3 | 28 |
IQR =16; upper fence =52.
Assumptions and limits
- Q3 is at least Q1 and both quartiles use the same convention and units.
- The 1.5-IQR Tukey convention is appropriate for the exploratory display.
- Distribution shape, measurement error, and formal outlier testing 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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