Difference between revisions of "SampleVariance Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{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= | + | :{{example|1=<code><nowiki>SampleVariance({1, 2, 3, 4, 5})</nowiki></code> yields ''a = 2.5''.}} |
| − | ; 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= | + | :{{example|1=<code><nowiki>SampleVariance({1, 2, 3, 4, 5}, {3, 2, 4, 4, 1})</nowiki></code> yields ''a = 1.67''.}} |
{{hint|1= | {{hint|1= | ||
If the list in the [[File:Menu view spreadsheet.svg|link=|16px]] [[CAS View]] contains undefined variables, this command yields a formula for the sample variance. | If the list in the [[File:Menu view spreadsheet.svg|link=|16px]] [[CAS View]] contains undefined variables, this command yields a formula for the sample variance. | ||
| − | : {{example|1= | + | : {{example|1=<code><nowiki>SampleVariance({a, b, c})</nowiki></code> yields <math>\frac{1}{3} a^{2} - \frac{1}{3} ab - \frac{1}{3}ac + \frac{1}{3} b^{2} - \frac{1}{3} bc + \frac{1}{3} c^{2}</math>.}} |
}} | }} | ||
Latest revision as of 10:07, 12 October 2017
- 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.
Hint: If the list in the 
CAS View contains undefined variables, this command yields a formula for the sample variance.
- Example:
SampleVariance({a, b, c})yields \frac{1}{3} a^{2} - \frac{1}{3} ab - \frac{1}{3}ac + \frac{1}{3} b^{2} - \frac{1}{3} bc + \frac{1}{3} c^{2}.
