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Five-Number Summary Calculator — result sheet
Sort five observations and report the minimum, first quartile, median, third quartile, and maximum.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Sort x₁…x₅; five-number summary = (min, second value, median, fourth value, max).
For five supplied observations, the ordered values make the quartile positions explicit: the second and fourth ordered values are Q1 and Q3, with the third as the median.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Observation 1 — minimum -1000000000; maximum 1000000000
- Observation 2 — minimum -1000000000; maximum 1000000000
- Observation 3 — minimum -1000000000; maximum 1000000000
- Observation 4 — minimum -1000000000; maximum 1000000000
- Observation 5 — minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Observation 1 | 7 |
| Observation 2 | 2 |
| Observation 3 | 9 |
| Observation 4 | 4 |
| Observation 5 | 6 |
Summary: minimum 2, Q1 4, median 6, Q3 7, maximum 9.
Assumptions and limits
- Exactly five numeric observations are summarized; equal values are allowed.
- Quartiles use the simple ordered five-value convention and do not interpolate between positions.
- This is a descriptive summary, not a claim about an underlying population or a box-plot outlier rule.
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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