# Five-number summary

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In descriptive statistics, the **five-number summary** of a data set consists of:

- the minimum (smallest observation)
- the lower quartile or
*first quartile*(which cuts off the lowest 25% of the data) - the median (middle value)
- the upper quartile or
*third quartile*(which cuts off the highest 25% of the data) - the maximum (largest observation)

The five-number summary is sometimes represented as in the following table:

median | |

1st quartile | 3rd quartile |

Minimum | Maximum |

The five-number summary can be represented graphically using a boxplot.

See also: Quartile, Order statistic

## ReferencesEdit

- David C. Hoaglin, Frederick Mosteller and John W. Tukey. "
*Understanding robust and exploratory data analysis*". Wiley, 1983. ISBN 0-471-09777-2.

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