Five Number Summary Calculator
Report the minimum, Q1, median, Q3 and maximum of a dataset for box-plot construction.
About Five Number Summary Calculator
The five-number summary consists of the minimum, Q1, median, Q3, and maximum. These five values fully describe a box-and-whisker plot and give a quick picture of the distribution's center and spread.
Formula
Five-Number Summary = {Min, Q1, Median, Q3, Max}
- Min
- Smallest value
- Q1
- 25th percentile
- Median
- 50th percentile
- Q3
- 75th percentile
- Max
- Largest value
Worked example
With the default values below, Five Number Summary Calculator returns Median of 12.0000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Data (comma separated)
- 5, 7, 8, 12, 14, 20, 22
Results
- Minimum
- 5.0000
- Q1
- 7.5000
- Median
- 12.0000
- Q3
- 17.0000
- Maximum
- 22.0000
Step by step
- 1Values used
- 2Formula applied
- 3Median= 12.0000
- 4Minimum= 5.0000
- 5Q1= 7.5000
- 6Q3= 17.0000
- 7Maximum= 22.0000
Assumptions and limits
- The result is derived only from the single input listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
What is a five-number summary used for?
It provides the key values needed to draw a box-and-whisker plot, giving a visual overview of the data distribution's center, spread, and skewness.
Can the five-number summary detect outliers?
Not directly, but combined with the IQR (Q3−Q1) and Tukey's fences, it provides the basis for outlier detection.