Difference between revisions of "SigmaXX Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|statistics}}
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;SigmaXX( &lt;List of Points> )
; SigmaXX[ <List of Numbers> ]: Calculates the sum of squares of the given numbers.
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:Calculates the sum of squares of the ''x''-coordinates of the given points.
:{{Example|1=In order to work out the variance of a list you may use <code>SigmaXX[list] / Length[list] - Mean[list]^2</code>.}}
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:{{Example|1=Let <code><nowiki>list1 = {(-3, 4), (-1, 4), (-2, 3), (1, 3), (2, 2), (1, 5)}</nowiki></code> be a list of points. <code><nowiki>SigmaXX(list1)</nowiki></code> yields the value ''20''.}}
; SigmaXX[ <List of Points> ]: Calculates the sum of squares of the ''x''-coordinates of the given points.
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; SigmaXX[ <List of Numbers>, <List of Frequencies> ]: Calculates the weighted sum of squares of the given numbers.
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;SigmaXX( &lt;List of Raw Data> )
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:Calculates the sum of squares of the given numbers.
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:{{Example|1=In order to work out the variance of a list you may use <code>SigmaXX(list) / Length(list) - Mean(list)^2</code>.}}
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; SigmaXX( &lt;List of Numbers>, &lt;List of Frequencies> )
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:Calculates the weighted sum of squares of the given numbers.
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:{{Example|1= Let <code><nowiki>list1 = {3, 2, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 5, 3, 2, 1, 1, 2, 3}</nowiki></code> be a list of numbers. <code><nowiki>Unique(list1)</nowiki></code> yields ''list2 = {1, 2, 3, 4, 5}'' and <code><nowiki>Frequency(list1)</nowiki></code> yields ''list3 = {4, 5, 7, 2, 1}''. Command <code><nowiki>SigmaXX(list2, list3)</nowiki></code> yields the value ''144''.}}

Latest revision as of 10:10, 12 October 2017


SigmaXX( <List of Points> )
Calculates the sum of squares of the x-coordinates of the given points.
Example: Let list1 = {(-3, 4), (-1, 4), (-2, 3), (1, 3), (2, 2), (1, 5)} be a list of points. SigmaXX(list1) yields the value 20.


SigmaXX( <List of Raw Data> )
Calculates the sum of squares of the given numbers.
Example: In order to work out the variance of a list you may use SigmaXX(list) / Length(list) - Mean(list)^2.


SigmaXX( <List of Numbers>, <List of Frequencies> )
Calculates the weighted sum of squares of the given numbers.
Example: Let list1 = {3, 2, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 5, 3, 2, 1, 1, 2, 3} be a list of numbers. Unique(list1) yields list2 = {1, 2, 3, 4, 5} and Frequency(list1) yields list3 = {4, 5, 7, 2, 1}. Command SigmaXX(list2, list3) yields the value 144.
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