# Range (of variation of a sample)

From Encyclopedia of Mathematics

The difference

between the largest and smallest values in the ordered sample

obtained by taking independent measurements of the same random variable . Let be the distribution function of the random variable . Then the probability distribution for the range is

#### References

[1] | B.L. van der Waerden, "Mathematische Statistik" , Springer (1957) |

[2] | L.N. Bol'shev, N.V. Smirnov, "Tables of mathematical statistics" , Libr. math. tables , 46 , Nauka (1983) (In Russian) (Processed by L.S. Bark and E.S. Kedrova) |

#### Comments

The range of variation of a sample is also called the sample range.

#### References

[a1] | D.B. Owen, "Handbook of statistical tables" , Addison-Wesley (1962) |

**How to Cite This Entry:**

Range (of variation of a sample).

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Range_(of_variation_of_a_sample)&oldid=14775

This article was adapted from an original article by T.Yu. Popova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article