Difference between revisions of "SigmaXX Command"
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|statistics}} |
− | {{command|statistics}} | + | ;SigmaXX( <List of Points> ) |
− | ; SigmaXX | + | :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 | + | :{{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. | ||
+ | :{{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( <List of Numbers>, <List of Frequencies> ) | ||
+ | :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''.}} |
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} andFrequency(list1)
yields list3 = {4, 5, 7, 2, 1}. CommandSigmaXX(list2, list3)
yields the value 144.