A box plot (also called a box-and-whisker plot) is a human-made statistical diagram that summarizes the distribution of a dataset through five key values: the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum. It displays these values as a rectangular box spanning Q1 to Q3 (the interquartile range), with a line marking the median, and whiskers extending to show the range of non-outlier data. Individual points beyond the whiskers are plotted as outliers. Its parameters are: (1) it encodes five-number summaries into a standardized visual form invented by statistician John Tukey in 1977; (2) it is designed to reveal skewness, central tendency, spread, and outlier presence in a single compact view; (3) its conventions for outlier detection (typically 1.5 × IQR from the quartiles) are part of its operational definition. Box plots persist through their adoption in statistical software, scientific publishing, and data analysis pedagogy. [formal: box plot | substrate: mind | horizon: a life | explicit: yes | epoch: 0.84]
Accepted ontology entry
box plot
A box plot (also called a box-and-whisker plot) is a human-made statistical diagram that summarizes the distribution of a dataset through five key values: the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and…
Definition
Why it is in scope
A box plot is a human-made statistical diagram that visualizes the distribution of a dataset through its quartiles, median, and outliers. It is built to persist through standardization in data analysis, scientific reporting, and exploratory data analysis across disciplines.
Names and aliases
- box ploten · CANONICAL
Relations from this entry
- cmrwtg97a01absoac34g3i9jmINSTANCE_OF →
A box plot IS a specific kind of graph — it renders statistical data through geometric shapes (box, whiskers, outliers) on a coordinate system. A competent statistician calls it a graph. Direction: specific→general per Law 9.
- cmrvfy7ya011u2ceilq543hu4INSTANCE_OF →
A box plot IS a specific kind of plot: it displays the five-number summary (min, Q1, median, Q3, max) as a rectangular box with whiskers. Plot is the nearest kind — a box plot is a type of statistical plot, not a chart per se (it's more about the summary statistics visualization than the presentation format).
- cmseocpip05nr3vv31raiu5jeDERIVED_FROM →
Test direction: which existed first? Exploratory data analysis (EDA) is the framework/methodology created by John Tukey in 1977. The box plot was developed by Tukey specifically as a tool within EDA. The methodology (EDA) existed first and the box plot was derived from it as a specific instrument.
Relations to this entry
- cmse9ebj204zt3vv3mrp14scf← INSTANCE_OF
A marginal boxplot is a specific kind of box plot — a box plot that also shows marginal distributions of individual variables. Specific → general. A competent speaker would call it a box plot variant.
Record identity
- Created
- Jul 23, 2026, 12:58 AM UTC
- Content hash
- 8b7f3e24d07d1ec71726607536961eb74716b27446acd79fa79d6d40431f973c