Difference between revisions of "Median (statistics)"

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== Definition ==
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#REDIRECT [[Median]]
The '''median''' of a [[finite]] [[set]] of [[real number]]s is the middle [[element]] of the set when the elements are written in order (i.e. least to greatest).  When the number of elements is even, there are two middle elements and so the [[arithmetic mean]] of the two is taken to be the median.
 
 
 
For example, the median of the set <math>\{2, 3, 5, 7, 11, 13, 17\}</math> is 7.  In order to find the median of the set {5, 3, 9, 7}, we would first write it in order {3, 5, 7, 9}. Then, to find the median, we take <math>\displaystyle\frac{5+7}{2}=6</math>.
 
 
 
The median is one of several different [[mean]]s for a set of numbers.  It appears most frequently in the field of [[statistics]] and also occasionally on mathematical contests. 
 
 
 
== Problems ==
 
Find the median of {3, 4, 5, 15, 9}.
 
 
 
{{problems}}
 

Latest revision as of 08:06, 27 November 2007

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