Difference between revisions of "SampleVariance Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude> | <noinclude>{{Manual Page|version=5.0}}</noinclude> | ||
{{command|cas=true|statistics}} | {{command|cas=true|statistics}} | ||
| − | ;SampleVariance[ | + | ;SampleVariance[ <List of Raw Data> ] |
:Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers. | :Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers. | ||
:{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5} ]</nowiki></code> yields ''a = 2.5''.</div>}} | :{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5} ]</nowiki></code> yields ''a = 2.5''.</div>}} | ||
| − | ; SampleVariance[ | + | ; SampleVariance[ <List of Numbers>, <List of Frequencies> ] |
:Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers considering the frequencies. | :Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers considering the frequencies. | ||
:{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5}, {3, 2, 4, 4, 1} ]</nowiki></code> yields ''a = 1.67''.</div>}} | :{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5}, {3, 2, 4, 4, 1} ]</nowiki></code> yields ''a = 1.67''.</div>}} | ||
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==CAS Syntax== | ==CAS Syntax== | ||
| − | ;SampleVariance[ | + | ;SampleVariance[ <List of Numbers> ] |
:Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers. If the list contains undefined variables, it yields a formula for the sample variance. | :Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers. If the list contains undefined variables, it yields a formula for the sample variance. | ||
: {{example|1=<div><code><nowiki>SampleVariance[ {x, y, z} ]</nowiki></code> yields <math>\frac{x² - x y - x z + y² - y z + z²}{3}</math>.</div>}} | : {{example|1=<div><code><nowiki>SampleVariance[ {x, y, z} ]</nowiki></code> yields <math>\frac{x² - x y - x z + y² - y z + z²}{3}</math>.</div>}} | ||
Revision as of 21:19, 22 August 2015
- SampleVariance[ <List of Raw Data> ]
- Returns the sample variance of given list of numbers.
- Example:
SampleVariance[ {1, 2, 3, 4, 5} ]yields a = 2.5.
- SampleVariance[ <List of Numbers>, <List of Frequencies> ]
- Returns the sample variance of given list of numbers considering the frequencies.
- Example:
SampleVariance[ {1, 2, 3, 4, 5}, {3, 2, 4, 4, 1} ]yields a = 1.67.
CAS Syntax
- SampleVariance[ <List of Numbers> ]
- Returns the sample variance of given list of numbers. If the list contains undefined variables, it yields a formula for the sample variance.
- Example:
SampleVariance[ {x, y, z} ]yields \frac{x² - x y - x z + y² - y z + z²}{3}.
