Difference between revisions of "Arithmetic Mean"

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<BR/>One of several accepted measures of central tendency, physically
 
<BR/>One of several accepted measures of central tendency, physically
 
analogous to ''center of gravity''. Pertaining to a set of numbers
 
analogous to ''center of gravity''. Pertaining to a set of numbers
x <sub>1</sub>, x<sub>2</sub>,...x<sub>n</sub>, the arithmetic mean,
+
<strong><math>x_1, x_2,...x_n</math></strong>, the arithmetic mean,
usually denoted by the symbol [[image:xbar.gif|"mean symbol"]], is the sum x<sub>1</sub>+x<sub>2</sub>+...+x<sub>n</sub> divided by n. Also called '' mean,
+
usually denoted by the symbol <strong><math>\bar{x}</math></strong>, is the <strong>sum <math>x_1 + x_2 + ... + x_n</math></strong> divided by '''n'''. Also called ''mean,
average, simple average ''.  
+
average, simple average''.  
  
 
<BR>''Since the word ''mean'' is also
 
<BR>''Since the word ''mean'' is also
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[[Category%3ADefinitions]]
 
[[Category%3ADefinitions]]
 
[[Category%3ANASA SP-7]]
 
[[Category%3ANASA SP-7]]
[[Category%3ADefinitions with Missing Images]]
 
 
==TeX==
 
<nowiki><math>\bar{x}</math></nowiki> produces <math>\bar{x}</math><br>
 
<nowiki><math>x_1 + x_2 + ... + x_n</math></nowiki> produces <math>x_1 + x_2 + ... + x_n</math>
 
 
For more on TeX in mediawiki see [[Help:Math]]
 

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Arithmetic Mean



One of several accepted measures of central tendency, physically analogous to center of gravity. Pertaining to a set of numbers <math>x_1, x_2,...x_n</math>, the arithmetic mean, usually denoted by the symbol <math>\bar{x}</math>, is the sum <math>x_1 + x_2 + ... + x_n</math> divided by n. Also called mean, average, simple average.


Since the word mean is also applied to other measures of central tendency, such as weighted means, geometric means, harmonic means, the adjective arithmetic is used for clarity. However, when used without further qualification, the term mean is understood as arithmetic mean.

References

This article is based on NASA's Dictionary of Technical Terms for Aerospace Use