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About: Discrete Random Variables: Mean or Expected Value and Standard Deviation

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

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Metadata

Name: Discrete Random Variables: Mean or Expected Value and Standard Deviation
ID: m16828
Language: English (en)
Summary: This module explores the Law of Large Numbers, the phenomenon where an experiment performed many times will yield cumulative results closer and closer to the theoretical mean over time.
Subject: Mathematics and Statistics
Keywords: average, discrete, elementary, expected, large, law, long-term, mean, numbers, probability, random, statistics, variable
License: Creative Commons Attribution License CC-BY 3.0

Authors: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu)
Copyright Holders: Maxfield Foundation (cnx@cnx.org)
Maintainers: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu), Connexions (cnx@cnx.org)

Latest version: 1.16 (history)
First publication date: May 16, 2008 3:48 pm -0500
Last revision to module: May 27, 2012 12:06 pm -0500

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Version History

Version: 1.16 May 27, 2012 12:06 pm -0500 by Susan Dean
Changes:
Discrete Random Variables: Mean or Expected Value and Standard Deviation: Updated notation.

Version: 1.15 May 22, 2012 8:36 am -0500 by Susan Dean
Changes:
Discrete Random Variables: Mean or Expected Value and Standard Deviation: Minor word changes.

Version: 1.14 Mar 14, 2012 10:26 am -0500 by Susan Dean
Changes:
Module: Discrete Random Variables: Mean or Expected Value and Standard Deviation:Added " A computer randomly selects five numbers from 0 to 9 with replacement" to the example about a game of chance.

Version: 1.13 Aug 11, 2011 10:26 pm -0500 by Susan Dean
Changes:
Discrete Random Variables: Mean or Expected Value and Standard Deviation: Updated glossary item "Mean."

Version: 1.12 Feb 23, 2009 4:26 pm -0600 by Chuck Bearden
Changes:
Changed U+02C9 macrons into U+00AF macrons.

Version: 1.11 Feb 6, 2009 7:50 am -0600 by Susan Dean
Changes:
Discrete Random Variables: Mean or Expected Value and Standard Deviation:  Clarified how to calculate the standard deviation for a discrete probability distribution by cleaning up the language and by showing the calculation. 

Version: 1.10 Jan 25, 2009 6:16 pm -0600 by Susan Dean
Changes:
Discrete Random Variables: Mean or Expected Value and Standard Deviation: Corrected some punctuation and changed P(x) to P(X=x) in the glossary.

Version: 1.9 Jan 21, 2009 6:32 pm -0600 by Susan Dean
Changes:
Discrete Random Variables: Mean or Expected Value and Standard Deviation: For the last sentence in the first paragraph, ended the sentence after the word "average" for clarity.

Version: 1.8 Jan 21, 2009 3:07 pm -0600 by Susan Dean
Changes:
Discrete Random Variables: Mean or Expected Value and Standard Deviation: In the glossary, changed P(x) = P(X=x) since P(x) is the notation for probability function.  Also, changed X with a bar over it to lower case x with a bar over it.

Version: 1.7 Oct 27, 2008 2:09 pm -0500 by James Cooper
Changes:
roles updated

Version: 1.6 Jul 16, 2008 2:06 pm -0500 by Connexions
Changes:
fixed math error and metadata

Version: 1.5 Jul 9, 2008 4:08 am -0500 by Connexions
Changes:
Post review edits

Version: 1.4 Jul 8, 2008 5:55 pm -0500 by Connexions
Changes:
post review edits

Version: 1.3 Jul 7, 2008 12:32 pm -0500 by Connexions
Changes:
post review updates

Version: 1.2 Jun 27, 2008 11:27 am -0500 by Connexions
Changes:
Roles changed

Version: 1.1 Jun 23, 2008 12:53 am -0500 by Jonathan Emmons
Changes:
Initial publication

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American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Discrete Random Variables: Mean or Expected Value and Standard Deviation, OpenStax-CNX Web site. http://cnx.org/content/m16828/1.16/, May 27, 2012.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Discrete Random Variables: Mean or Expected Value and Standard Deviation [OpenStax-CNX Web site]. May 27, 2012. Available at: http://cnx.org/content/m16828/1.16/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, May 27). Discrete Random Variables: Mean or Expected Value and Standard Deviation. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m16828/1.16/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Discrete Random Variables: Mean or Expected Value and Standard Deviation." OpenStax-CNX. May 27, 2012. http://cnx.org/content/m16828/1.16/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Discrete Random Variables: Mean or Expected Value and Standard Deviation," OpenStax-CNX, May 27, 2012, http://cnx.org/content/m16828/1.16/.

Chicago Manual of Style (Reference, in Author-Date style):

Dean, S., & Illowsky, B. 2012. Discrete Random Variables: Mean or Expected Value and Standard Deviation. OpenStax-CNX, May 27, 2012. http://cnx.org/content/m16828/1.16/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Discrete Random Variables: Mean or Expected Value and Standard Deviation. OpenStax-CNX. 27 May 2012 <http://cnx.org/content/m16828/1.16/>.