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| − | A '''median''' is a common type of [[mean]] for a set of numbers.
| + | #REDIRECT [[Median]] |
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| − | == Definition ==
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| − | 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.
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| − | 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 <math>\{5, 3, 9, 7\}</math>, we would first write it in order {3, 5, 7, 9}. Then, to find the median, we take <math>\frac{5+7}{2}=6</math>.
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| − | 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.
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| − | == Problems ==
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| − | ===Pre-introductory===
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| − | Find the median of <math>\{3, 4, 5, 15, 9\}</math>.
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| − | ===Introductory===
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| − | ===Intermediate===
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| − | ===Olympiad===
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| − | {{problems}}
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