Five Number Summary Calculator

Paste a dataset to get the five-number summary, choose a quartile method, inspect outlier fences, and view a compact box-and-whisker diagram.

Dataset

Quartile method

—Min · Q1 · Median · Q3 · Max

—IQR

—Outlier fences

—Potential outliers

—Count

Five Number Summary: IQR, Outliers & Box Plot

Verify min, quartiles, median and max with IQR fences, outlier counts, skew cues and a scale-accurate SVG box plot.

Outlier fence

Core describe → test → interpret workflows

Use descriptive context first, choose the method that matches the design, then keep inputs, settings and result evidence reproducible instead of copying a p-value without its analysis recipe.

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Interpret statistical results in context

Use plots and descriptive summaries before formal tests. Check the sampling/design assumptions that matter for the chosen method, report effect size and uncertainty where available, and avoid treating a threshold such as p < .05 as proof of importance, causation, or truth. Browser calculations are educational/planning utilities, not domain-specific professional advice.

How to use this Five Number Summary Calculator

Paste a dataset to get the five-number summary, choose a quartile method, inspect outlier fences, and view a compact box-and-whisker diagram.

Practical guide and verification

Use the interactive product above first. These notes add interpretation, verification and limits below the results and product controls.

Quartile method can change Q1 and Q3

Textbooks and software use different quartile conventions, especially for small datasets and odd sample sizes. Keep the selected method with the result when comparing against Excel, R, a calculator or an answer key.

A five-number summary is compact, not complete

Minimum, Q1, median, Q3 and maximum describe location and spread but do not show every cluster, gap or repeated value. Use the sorted data and visualization when shape matters.

Outlier fences are screening rules

The 1.5×IQR rule flags values for review; it does not prove they are mistakes. Investigate data provenance and subject-matter context before removing a flagged point from analysis.

Whiskers and fences are not the same thing

In a modified box plot, whiskers normally stop at the most extreme observations still inside the fences. The numerical fence itself may not correspond to any observed data value.

Verify with the sorted list

Check that minimum and maximum match the endpoints, then locate the median and quartile positions using the selected convention. This small manual audit catches delimiter problems and unexpected nonnumeric input before the summary is reused.