Evaluation of mean and variance integrals without integration

A. H. Joarder; M. H. Omar

doi:10.1080/00207390601129246

Evaluation of mean and variance integrals without integration

A. H. Joarder
, M. H. Omar^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The mean and variance of some continuous distributions, in particular the exponentially decreasing probability distribution and the normal distribution, are considered. Since they involve integration by parts, many students do not feel comfortable. In this note, a technique is demonstrated for deriving mean and variance through differential calculus. The general nature of the technique has potential for wider applications.

Original language	English
Pages (from-to)	538-543
Number of pages	6
Journal	International Journal of Mathematical Education in Science and Technology
Volume	38
Issue number	4
DOIs	https://doi.org/10.1080/00207390601129246
State	Published - Jan 2007

ASJC Scopus subject areas

Mathematics (miscellaneous)
Education
Applied Mathematics

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10.1080/00207390601129246

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title = "Evaluation of mean and variance integrals without integration",

abstract = "The mean and variance of some continuous distributions, in particular the exponentially decreasing probability distribution and the normal distribution, are considered. Since they involve integration by parts, many students do not feel comfortable. In this note, a technique is demonstrated for deriving mean and variance through differential calculus. The general nature of the technique has potential for wider applications.",

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AU - Omar, M. H.

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AB - The mean and variance of some continuous distributions, in particular the exponentially decreasing probability distribution and the normal distribution, are considered. Since they involve integration by parts, many students do not feel comfortable. In this note, a technique is demonstrated for deriving mean and variance through differential calculus. The general nature of the technique has potential for wider applications.

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DO - 10.1080/00207390601129246

M3 - Article

AN - SCOPUS:34249743692

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JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

IS - 4

ER -

Evaluation of mean and variance integrals without integration

Abstract

ASJC Scopus subject areas

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