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May 2010 What is "Standard" About the Standard Deviation
Florence Newberger, Alan M. Safer, Saleem Watson
Missouri J. Math. Sci. 22(2): 86-90 (May 2010). DOI: 10.35834/mjms/1312233137

Abstract

The choice of the formula for standard deviation is explained in elementary statistics textbooks in various ways. We give an explanation for this formula by representing the data as a vector in $\mathbb R^n$ and considering its distance from a central tendency vector. In this setting the "standard" formula represents a shortest distance in the standard metric. We also show that different metrics lead to different measures of central tendency.

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Florence Newberger. Alan M. Safer. Saleem Watson. "What is "Standard" About the Standard Deviation." Missouri J. Math. Sci. 22 (2) 86 - 90, May 2010. https://doi.org/10.35834/mjms/1312233137

Information

Published: May 2010
First available in Project Euclid: 1 August 2011

zbMATH: 05802216
Digital Object Identifier: 10.35834/mjms/1312233137

Subjects:
Primary: 62-07
Secondary: 62F10

Rights: Copyright © 2010 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.22 • No. 2 • May 2010
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