What this result means
Calculate minimum, Q1, median, Q3, maximum and IQR with the median-of-halves convention stated beside the result.
Five-Number Summary Calculator
Use the Five-Number Summary Calculator to calculate and interpret median.
Five-Number Summary
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Reference range
How this result is calculated
A clear calculation path based on your inputs.
Inputs usedReview the information used for this result.
Full calculation and sourcesSort the data; exclude the overall median from each half when n is odd; IQR = Q3 - Q1.
Versioned calculationFormula v1.0.0
Method used
Sort the data; exclude the overall median from each half when n is odd; IQR = Q3 - Q1.
Important limitation
The result is only as reliable as the inputs and stated method.
Enter the inputsUse values with the units and definitions shown beside each field.
Apply the methodSort the data; exclude the overall median from each half when n is odd; IQR = Q3 - Q1.
Inspect the bridgeReview the primary result and supporting outputs before using it.
Check limitationsConfirm the assumptions, date, jurisdiction or population match your use case.
Interpretation
For 1 through 7: minimum 1, Q1 2, median 4, Q3 6, maximum 7.
Sort the data; exclude the overall median from each half when n is odd; IQR = Q3 - Q1.
The result is only as reliable as the inputs and stated method.
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Report a calculation issue Five-Number Summary Calculator: purpose and method
Calculates median, minimum, q1, and q3 from data values and variance basis with visible method, validation, precision, and limitations.
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Method and test recordFormula v1.0.0
- Recorded scope
- Five-Number Summary Calculator formula, input validation, edge behavior and result presentation.
- Publisher
- CalculatorGeek
- Reviewed by
- CalculatorGeek Editorial Team
- Recorded review date
- 2026-09-21
- Next source review
- 2027-09-21
- Definition fixtures
- 1 configured scenarios
- Published examples
- 1 shown below
Recorded method
Package reconciliation, primary-source mapping, competitor feature comparison, deterministic fixtures, PHP/JavaScript parity and responsive preview QA.
These records describe the published model and reference tests. A test-case count is not a certification of every possible input or an independent specialist review. Editorial policy
Known limitations
- The result is only as reliable as the inputs and stated method.
- Changing legal, medical, exam or statistical conventions must be checked at the source.
Method sources
Latest model update
2026-09-21 -
Reference inputs and expected results
Up to 12 examples from the configured definition fixtures are shown. Expected values use the stated output units; invalid inputs are intended to be rejected.
| Case | Inputs | Expected result |
|---|---|---|
| Primary worked example | Data values: 1, 2, 3, 4, 5, 6, 7; Variance basis: population | Minimum: 1; Q1: 2; Median: 4; Q3: 6; Maximum: 7; IQR: 4 (allowed numeric tolerance: 0.0001) |
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On this page
Direct answer
Calculate minimum, Q1, median, Q3, maximum and IQR with the median-of-halves convention stated beside the result.
Continue with the Mean Median Mode Calculator when that method matches your next question.
Continue with the Descriptive Statistics Calculator when that method matches your next question.
Formula and methodology
Sort the data; exclude the overall median from each half when n is odd; IQR = Q3 - Q1.
For 1 through 7: minimum 1, Q1 2, median 4, Q3 6, maximum 7.
Worked example
For 1 through 7: minimum 1, Q1 2, median 4, Q3 6, maximum 7.
The calculator retains working precision and rounds only the displayed values.
Interpret the result carefully
Method boundary: The result is only as reliable as the inputs and stated method.
Inputs, boundary behavior and JavaScript/PHP parity are covered by deterministic release tests.
Use the result for the named task only. Do not stretch it into a legal, clinical, safety or causal conclusion the formula does not support.
Inputs, outputs and result meaning
Calculates median, minimum, q1, and q3 from data values and variance basis with visible method, validation, precision, and limitations.
Inputs
- Data values
- Paste a numeric dataset.
- Variance basis
- Included for consistent summary output. Available choices are Population and Sample.
Outputs
- Median
- This is the primary result. The visible value uses up to 4 decimal places according to the output rule.
- Minimum
- The visible value uses up to 4 decimal places according to the output rule.
- Q1
- The visible value uses up to 4 decimal places according to the output rule.
- Q3
- The visible value uses up to 4 decimal places according to the output rule.
- Maximum
- The visible value uses up to 4 decimal places according to the output rule.
- IQR
- The visible value uses up to 4 decimal places according to the output rule.
The calculator applies the documented method after validating and normalizing the inputs. Keep the result label, unit, selected mode, and stated limitations together when sharing the answer.
Frequently asked questions
What method does this calculator use?
Sort the data; exclude the overall median from each half when n is odd; IQR = Q3 - Q1.
How should I round the result?
Keep full precision during the calculation and round only the final display unless a governing standard says otherwise.
What is the main limitation?
The result is only as reliable as the inputs and stated method.
Can I reproduce the answer?
Yes. The formula, inputs, supporting outputs and worked example are displayed on the page.
Sources
Source research refreshed September 21, 2026. No rankings, review credentials or official affiliation are implied.