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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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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 2.0
Authors: Susan Dean (deansusan@deanza.edu), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu)
Copyright Holders: Maxfield Foundation (cnx@cnx.org)
Maintainers: Susan Dean (deansusan@deanza.edu), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu), Connexions (cnx@cnx.org)
Latest version: 1.12 (history)
First publication date: May 16, 2008 3:48 pm GMT-5
Last revision to module: Feb 23, 2009 4:26 pm US/Central
Module XML: m16828_1.12.cnxml

Version History

Version: 1.12 Feb 23, 2009 4:26 pm US/Central by Chuck Bearden
Changes: 
Changed U+02C9 macrons into U+00AF macrons.
Version: 1.11 Feb 6, 2009 7:50 am US/Central 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 US/Central 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 US/Central 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 US/Central 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 GMT-5 by James Cooper
Changes: 
roles updated
Version: 1.6 Jul 16, 2008 2:06 pm GMT-5 by Connexions
Changes: 
fixed math error and metadata
Version: 1.5 Jul 9, 2008 4:08 am GMT-5 by Connexions
Changes: 
Post review edits
Version: 1.4 Jul 8, 2008 5:55 pm GMT-5 by Connexions
Changes: 
post review edits
Version: 1.3 Jul 7, 2008 12:32 pm GMT-5 by Connexions
Changes: 
post review updates
Version: 1.2 Jun 27, 2008 11:27 am GMT-5 by Connexions
Changes: 
Roles changed
Version: 1.1 Jun 23, 2008 12:53 am GMT-5 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, Connexions Web site. http://cnx.org/content/m16828/1.12/, Feb 23, 2009.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Discrete Random Variables: Mean or Expected Value and Standard Deviation [Connexions Web site]. February 23, 2009. Available at: http://cnx.org/content/m16828/1.12/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2009, February 23). Discrete Random Variables: Mean or Expected Value and Standard Deviation. Retrieved from the Connexions Web site: http://cnx.org/content/m16828/1.12/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Discrete Random Variables: Mean or Expected Value and Standard Deviation." Connexions. February 23, 2009. http://cnx.org/content/m16828/1.12/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Discrete Random Variables: Mean or Expected Value and Standard Deviation," Connexions, February 23, 2009, http://cnx.org/content/m16828/1.12/.

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

Dean, S., & Illowsky, B. 2009. Discrete Random Variables: Mean or Expected Value and Standard Deviation. Connexions, February 23, 2009. http://cnx.org/content/m16828/1.12/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Discrete Random Variables: Mean or Expected Value and Standard Deviation. Connexions. 23 Feb. 2009 <http://cnx.org/content/m16828/1.12/>.