Enter plain numbers without measurement units. Datasets accept commas, spaces, semicolons, or line breaks and are limited to 10,000 values. Results stay in this browser.
Statistics result
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Locating values within an ordered sample. Position statistics explain where an observation or boundary sits after the data are ordered. They support quartiles, percentiles, standardized distances, fences, and cumulative proportions.
1Order or standardize the values2Locate the requested position or boundary3Interpret position without assuming causation
Calculation rule
Box spans Q1 to Q3; whiskers reach the most extreme observations inside the 1.5×IQR fences.
The formula is applied only to the observations and options you enter. No population, distribution, or sampling process is inferred automatically.
How to read the answer
Compare center, spread, asymmetry, and potential outliers; a box plot does not show every distribution feature.
Important: Whiskers follow the 1.5×IQR convention rather than always reaching the minimum and maximum.
Quick guide
How to use this calculator
Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.
Calculation method
How the box plot calculator works
Box spans Q1 to Q3; whiskers reach the most extreme observations inside the 1.5×IQR fences.
Compare center, spread, asymmetry, and potential outliers; a box plot does not show every distribution feature.
Worked example
Box Plot example
For 1, 2, 3, 4, 20, the calculator separates the quartile box from any flagged high value.
Box spans Q1 to Q3; whiskers reach the most extreme observations inside the 1.5×IQR fences.
Supported inputs
Precision and limits
Model and design
Whiskers follow the 1.5×IQR convention rather than always reaching the minimum and maximum.
Numerical scope
Inputs use double-precision numerical methods with guarded domains. Datasets accept up to 10,000 finite plain-decimal values. Extremely large parameters or probabilities deep in a numerical tail may require specialist statistical software.
Interpretation
Compare center, spread, asymmetry, and potential outliers; a box plot does not show every distribution feature.
Decision boundary
The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.
Privacy
Entered values and calculated results stay in this browser and are not sent to an analytics service.
