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# About: Central Limit Theorem: Central Limit Theorem for Sums

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

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 Name: Central Limit Theorem: Central Limit Theorem for Sums ID: m16948 Language: English (en) Subject: Mathematics and Statistics Keywords: Central Limit Theorem, statistics, Sums License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.16 (history) First publication date: Jun 6, 2008 3:05 pm -0500 Last revision to module: Jun 5, 2012 7:57 am -0500

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## Version History

 Version: 1.16 Jun 5, 2012 7:57 am -0500 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Updated graph. Added part b solution to the problem.` Version: 1.15 Jun 3, 2012 7:27 am -0500 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Changed X to x where needed and updated the graph.` Version: 1.14 Aug 16, 2011 10:02 am -0500 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Updated glossary item "Central Limit Theorem."` Version: 1.13 Aug 15, 2011 9:34 pm -0500 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Updated glossary item "Normal Distribution."` Version: 1.12 Feb 12, 2011 10:57 am -0600 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Made correction to read n = 80 in solution to Example 1 Problem 1.` Version: 1.11 Mar 9, 2010 8:20 am -0600 by Changes: ` Central Limit Theorem: Central Limit Theorem for Sums: Added the words "sampling distribution."` Version: 1.10 Feb 24, 2009 8:42 am -0600 by Changes: `Changed U+02C9 macrons into U+00AF macrons.` Version: 1.9 Feb 20, 2009 8:11 pm -0600 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Updated glossary item "Central Limit Theorem."` Version: 1.8 Jan 24, 2009 11:24 pm -0600 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Replace Sum of X with sum of x.` Version: 1.7 Jan 24, 2009 11:16 pm -0600 by Changes: `Central Limit Theorem: Central Limit Theorem for Sums: Added the Central Limit Theorem to the glossary.` Version: 1.6 Oct 27, 2008 9:50 am -0500 by Changes: `roles updated` Version: 1.5 Jul 18, 2008 5:06 pm -0500 by Changes: `removed draft note` Version: 1.4 Jul 14, 2008 2:54 pm -0500 by Changes: `Removed image widths from parameters of media tags` Version: 1.3 Jul 7, 2008 2:27 pm -0500 by Changes: `post review updates` Version: 1.2 Jun 30, 2008 11:36 pm -0500 by Changes: `Updated for consistency within collection` Version: 1.1 Jun 26, 2008 1:07 pm -0500 by Changes: `Initial publication`

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## How to Cite and Attribute This Content

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### American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Central Limit Theorem: Central Limit Theorem for Sums, OpenStax-CNX Web site. http://cnx.org/content/m16948/1.16/, Jun 5, 2012.

### American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Central Limit Theorem: Central Limit Theorem for Sums [OpenStax-CNX Web site]. June 5, 2012. Available at: http://cnx.org/content/m16948/1.16/.

### American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, June 5). Central Limit Theorem: Central Limit Theorem for Sums. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m16948/1.16/

### Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Central Limit Theorem: Central Limit Theorem for Sums." OpenStax-CNX. June 5, 2012. http://cnx.org/content/m16948/1.16/.

### Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Central Limit Theorem: Central Limit Theorem for Sums," OpenStax-CNX, June 5, 2012, http://cnx.org/content/m16948/1.16/.

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

Dean, S., & Illowsky, B. 2012. Central Limit Theorem: Central Limit Theorem for Sums. OpenStax-CNX, June 5, 2012. http://cnx.org/content/m16948/1.16/.

### Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Central Limit Theorem: Central Limit Theorem for Sums. OpenStax-CNX. 5 June 2012 <http://cnx.org/content/m16948/1.16/>.