# Five-number summary

five-number summaries
The five-number summary is a set of descriptive statistics that provides information about a dataset.wikipedia
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### Sample maximum and minimum

sample maximumsample minimumMaximum
They are basic summary statistics, used in descriptive statistics such as the five-number summary and Bowley's seven-figure summary and the associated box plot.

### Quartile

quartileslower quartilelower and upper quartiles

### L-estimator

L-estimation
In addition to the points themselves, many L-estimators can be computed from the five-number summary, including interquartile range, midhinge, range, mid-range, and trimean.
However, the simplicity of L-estimators means that they are easily interpreted and visualized, and makes them suited for descriptive statistics and statistics education; many can even be computed mentally from a five-number summary or seven-number summary, or visualized from a box plot.

### Seven-number summary

Bowley's seven-figure summaryseven-figure summary
In descriptive statistics, the seven-number summary is a collection of seven summary statistics, and is an extension of the five-number summary.

### Box plot

It is possible to quickly compare several sets of observations by comparing their five-number summaries, which can be represented graphically using a boxplot.

### Descriptive statistics

descriptivedescriptive statisticstatistics

### Percentile

percentiles50th percentile85th percentile speed

### Univariate

In order for these statistics to exist the observations must be from a univariate variable that can be measured on an ordinal, interval or ratio scale.

### Level of measurement

quantitativelevels of measurementscale
In order for these statistics to exist the observations must be from a univariate variable that can be measured on an ordinal, interval or ratio scale. Since it reports order statistics (rather than, say, the mean) the five-number summary is appropriate for ordinal measurements, as well as interval and ratio measurements.

### Median

averagesample medianmedian-unbiased estimator

### Probability distribution

distributioncontinuous probability distributiondiscrete probability distribution
The five-number summary provides a concise summary of the distribution of the observations.

### Order statistic

order statisticsk'th-smallest of n itemsordered
Since it reports order statistics (rather than, say, the mean) the five-number summary is appropriate for ordinal measurements, as well as interval and ratio measurements.

### Interquartile range

inter-quartile rangebelowinterquartile
In addition to the points themselves, many L-estimators can be computed from the five-number summary, including interquartile range, midhinge, range, mid-range, and trimean.

### Midhinge

In addition to the points themselves, many L-estimators can be computed from the five-number summary, including interquartile range, midhinge, range, mid-range, and trimean.

### Range (statistics)

rangerangingsample range
In addition to the points themselves, many L-estimators can be computed from the five-number summary, including interquartile range, midhinge, range, mid-range, and trimean.

### Mid-range

Midrangemidsummaryhalf-range
In addition to the points themselves, many L-estimators can be computed from the five-number summary, including interquartile range, midhinge, range, mid-range, and trimean.

### Trimean

In addition to the points themselves, many L-estimators can be computed from the five-number summary, including interquartile range, midhinge, range, mid-range, and trimean.

### Solar System

outer Solar Systeminner Solar Systemouter planets
These are the number of moons of each planet in the Solar System.

### R (programming language)

RR programming languageCRAN
It is possible to calculate the five-number summary in the R programming language using the function.

### SAS (software)

SASSAS SystemSAS Enterprise Miner
You can use in SAS (software) to get the five number summary:

### John Tukey

John W. TukeyTukeyJohn Wilder Tukey
* David C. Hoaglin, Frederick Mosteller and John W. Tukey.

### Summary statistics

summary statisticSummarizationdata summarization
A common collection of order statistics used as summary statistics are the five-number summary, sometimes extended to a seven-number summary, and the associated box plot.

### List of statistics articles

List of statistical topicsList of statistics topicsIndex of statistics articles