# Five-number summary

**five-number summaries**

The five-number summary is a set of descriptive statistics that provides information about a dataset.wikipedia

27 Related Articles

### 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

**boxplotbox and whisker plotadjusted boxplots**

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**

### Mid-range

**Midrangemidsummaryhalf-range**

### 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**