Difference between revisions of "Variance Command"

Latest revision as of 10:27, 12 October 2017

Variance( <List of Raw Data> ): Calculates the variance of list elements.; Example: Variance({1, 2, 3}) yields 0.67.

Variance( <List of Numbers>, <List of Frequencies> ): Calculates the variance of list elements, considering the frequencies.; Example: Variance({1, 2, 3} , {1, 2, 1}) yields 0.5.

Variance( <List of Numbers> ): Calculates the variance of list elements. If the list contains undefined variables, it yields a formula for the variance.; Example: Variance({1, 2, a}) yields \frac{2}{9} a^{2} - \frac{2}{3} a + \frac{2}{3}.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
-{{command|cas=true|statistics}}
+;Variance( &lt;List of Raw Data> )
-;Variance[ <List of Numbers> ]
 :Calculates the variance of list elements.
-:{{example|1=<div><code><nowiki>Variance[{1, 2, 3}]</nowiki></code> yields ''0.67''.</div>}}
+:{{example|1=<code><nowiki>Variance({1, 2, 3})</nowiki></code> yields ''0.67''.}}
-;Variance[ <List of Numbers>, <List of Frequencies> ]
+;Variance( &lt;List of Numbers>, &lt;List of Frequencies> )
-:{{example|1=<div><code><nowiki>Variance[{1, 2, 3} , {1, 2, 1}]</nowiki></code> yields ''0.5''.</div>}}
+:Calculates the variance of list elements, considering the frequencies.
+:{{example|1=<code><nowiki>Variance({1, 2, 3} , {1, 2, 1})</nowiki></code> yields ''0.5''.}}
 ==CAS Syntax==
-;Variance[ <List of Numbers> ]
+;Variance( &lt;List of Numbers> )
 :Calculates the variance of list elements. If the list contains undefined variables, it yields a formula for the variance.
-:{{examples|1=<br>
+:{{example|1=<code><nowiki>Variance({1, 2, a})</nowiki></code> yields ''<math>\frac{2}{9} a^{2} - \frac{2}{3} a + \frac{2}{3}</math>''.
-:*<code><nowiki>Variance[{1, 2, a}]</nowiki></code> yields ''<math>\frac{2 a^{2} - 6 a + 6}{9}</math>''.
-:*<code>Variance[{1, 2, a} {20, 3, 1}]</code> yields '' <math>\frac{2  \; a² - 52 \; a + 632}{9}</math>''
 }}