Skip to content
CalculatorGeek

Five-Number Summary Calculator

Updated Sep 2026 Used 0 times
Paste a numeric dataset.
Included for consistent summary output.

Guest calculations stay on this device. Signed-in results sync privately.

Your result

Five-Number Summary

Enter your values, then calculate to see a verified result.

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

Formula definitionUnit-normalized calculationFormula v1.0.0

What this result means

Calculate minimum, Q1, median, Q3, maximum and IQR with the median-of-halves convention stated beside the result.

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.

Result actions
1
Enter the inputsUse values with the units and definitions shown beside each field.
2
Apply the methodSort the data; exclude the overall median from each half when n is odd; IQR = Q3 - Q1.
3
Inspect the bridgeReview the primary result and supporting outputs before using it.
4
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.

Use this result

Keep exploring

2 available tools
Mean Median Mode CalculatorCalculate mean, median, mode, range, count and sum from a pasted data set with visible parsing and formulas.Descriptive Statistics CalculatorGenerate an audit-ready summary of center, spread and quartiles with visible sample/population and quartile conventions.
Public verification recordFormula v1.0.0
Review scope
Five-Number Summary Calculator Formula, Input Validation, Edge Behavior And Result Presentation.
Review team
CalculatorGeek Expert Review Team
Verified
2026-09-21
Next source review
2027-09-21
Automated fixtures
1 cases

Review method

Package reconciliation, primary-source mapping, competitor feature comparison, deterministic fixtures, PHP/JavaScript parity and responsive preview QA.

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.

Primary sources

Latest update

2026-09-21 ยท

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.

Continue with Mean Median Mode Calculator or Descriptive Statistics Calculator for the next calculation.

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.