## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 26, Number 1 (1955), 112-116.

### On the Distribution of the Sample Median

#### Abstract

Upper and lower bounds are obtained for the cumulative distribution function of the sample median of a sample of size $2n + 1$ drawn from a continuous population. It is shown that if the parent population is normal, then the distribution of the sample median tends "rapidly" to normality. Other kinds of parent populations are also discussed.

#### Article information

**Source**

Ann. Math. Statist., Volume 26, Number 1 (1955), 112-116.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177728598

**Digital Object Identifier**

doi:10.1214/aoms/1177728598

**Mathematical Reviews number (MathSciNet)**

MR68172

**Zentralblatt MATH identifier**

0064.13102

**JSTOR**

links.jstor.org

#### Citation

Chu, John T. On the Distribution of the Sample Median. Ann. Math. Statist. 26 (1955), no. 1, 112--116. doi:10.1214/aoms/1177728598. https://projecteuclid.org/euclid.aoms/1177728598