Difference between revisions of "SigmaXX Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|statistics}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|statistics}} | ||
| − | ;SigmaXX[ | + | ;SigmaXX[ <List of Points> ] |
:Calculates the sum of squares of the ''x''-coordinates of the given points. | :Calculates the sum of squares of the ''x''-coordinates of the given points. | ||
:{{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''.}} | :{{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[ | + | ;SigmaXX[ <List of Raw Data> ] |
:Calculates the sum of squares of the given numbers. | :Calculates the sum of squares of the given numbers. | ||
:{{Example|1=In order to work out the variance of a list you may use <code>SigmaXX[list] / Length[list] - Mean[list]^2</code>.}} | :{{Example|1=In order to work out the variance of a list you may use <code>SigmaXX[list] / Length[list] - Mean[list]^2</code>.}} | ||
| − | ; SigmaXX[ | + | ; SigmaXX[ <List of Numbers>, <List of Frequencies> ] |
:Calculates the weighted sum of squares of the given numbers. | :Calculates the weighted sum of squares of the given numbers. | ||
:{{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''.}} | :{{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''.}} | ||
Revision as of 21:26, 22 August 2015
- 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} andFrequency[ list1 ]yields list3 = {4, 5, 7, 2, 1}. CommandSigmaXX[ list2, list3 ]yields the value 144.
