Difference between revisions of "Median Command"
From GeoGebra Manual
| Line 4: | Line 4: | ||
:Determines the median of the list elements. | :Determines the median of the list elements. | ||
:{{examples|1=<div> | :{{examples|1=<div> | ||
| − | :* <code><nowiki>Median[{1, 2, 3}]</nowiki></code> yields ''2''. | + | :*<code><nowiki>Median[{1, 2, 3, 4}]</nowiki></code> yields ''2.5''. |
| − | :* <code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields ''4.5''.</div>}} | + | :*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields ''4.5''.</div>}} |
| − | ; Median[ <List of Numbers>, <List of Frequencies> ] | + | ;Median[ <List of Numbers>, <List of Frequencies> ]:Calculates the weighted median of the list elements. |
:{{example|1=<div><code><nowiki>Median[{1, 2, 3}, {4, 1, 3}]</nowiki></code> yields ''1.5''.</div>}} | :{{example|1=<div><code><nowiki>Median[{1, 2, 3}, {4, 1, 3}]</nowiki></code> yields ''1.5''.</div>}} | ||
| − | {{note| 1=<div>If the length of the given list is even, the arithmetic mean of the two center elements is returned.</div>}} | + | :{{note| 1=<div>If the length of the given list is even, the arithmetic mean of the two center elements is returned.</div>}} |
==CAS Syntax== | ==CAS Syntax== | ||
;Median[ <List of Numbers> ] | ;Median[ <List of Numbers> ] | ||
:Determines the median of the list elements. | :Determines the median of the list elements. | ||
:{{examples|1=<div> | :{{examples|1=<div> | ||
| − | :* <code><nowiki>Median[{1, 2, 3}]</nowiki></code> yields ''2''. | + | :*<code><nowiki>Median[{1, 2, 3}]</nowiki></code> yields ''2''. |
| − | :* <code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields ''4.5''.</div>}} | + | :*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields the [[Numeric Tool|numeric value]] [[File:Tool Numeric.gif]] ''4.5'' and its [[Evaluate Tool|evaluation]] is [[File:Tool Evaluate.gif]] $\frac{9}{2}$</div>}} |
| − | {{note| 1=<div>If the length of the given list is even, the arithmetic mean of the two center elements is returned.</div>}} | + | ;Median[ <List of Numbers>, <List of Frequencies> ]:Calculates the weighted median of the list elements. |
| + | :{{example|1=<div><code><nowiki>Median[{1, 2, 3}, {4, 1, 3}]</nowiki></code> yields ''1.5''.</div>}} | ||
| + | :{{note|1=<div>If the length of the given list is even, the arithmetic mean of the two center elements is returned.</div>}} | ||
Revision as of 08:09, 1 February 2013
- Median[ <List of Numbers> ]
- Determines the median of the list elements.
- Examples:
Median[{1, 2, 3, 4}]yields 2.5.Median[{1, 1, 8, 8}]yields 4.5.
- Median[ <List of Numbers>, <List of Frequencies> ]
- Calculates the weighted median of the list elements.
- Example:
Median[{1, 2, 3}, {4, 1, 3}]yields 1.5.
- Note:If the length of the given list is even, the arithmetic mean of the two center elements is returned.
CAS Syntax
- Median[ <List of Numbers> ]
- Determines the median of the list elements.
- Examples:
Median[{1, 2, 3}]yields 2.Median[{1, 1, 8, 8}]yields the numeric value
4.5 and its evaluation is 
$\frac{9}{2}$
- Median[ <List of Numbers>, <List of Frequencies> ]
- Calculates the weighted median of the list elements.
- Example:
Median[{1, 2, 3}, {4, 1, 3}]yields 1.5.
- Note:If the length of the given list is even, the arithmetic mean of the two center elements is returned.
