Difference between revisions of "Documentation/How Tos/Calc: STANDARDIZE function"

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{{DISPLAYTITLE:STANDARDIZE function}}
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== STANDARDIZE ==
 
== STANDARDIZE ==
Returns the normalized value of a random variable.
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Converts a value in a normal distribution to its equivalent in a standard normal distribution.
  
 
=== Syntax: ===
 
=== Syntax: ===
 
<tt>'''STANDARDIZE(n; &mu;; &sigma;)'''</tt>
 
<tt>'''STANDARDIZE(n; &mu;; &sigma;)'''</tt>
  
: <tt>'''n'''</tt> is a number in a normal distribution with mean <tt>'''&mu;'''</tt> and standard deviation <tt>'''&sigma;'''</tt>.
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: <tt>'''n'''</tt> is a number in a normal distribution with known mean <tt>'''&mu;'''</tt> and known standard deviation <tt>'''&sigma;'''</tt>.
  
: <tt>'''STANDARDIZE'''</tt> converts <tt>'''n'''</tt> to a corresponding value in a (standard) normal distribution with  mean <tt>'''0'''</tt> and standard deviation <tt>'''1'''</tt>.
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: <tt>'''STANDARDIZE'''</tt> converts <tt>'''n'''</tt> to a corresponding value in a standard normal distribution, which has mean <tt>'''0'''</tt> and standard deviation <tt>'''1'''</tt>.
  
: The result is calculated as (<tt>'''n'''</tt> - <tt>'''&mu;'''</tt>)/ <tt>'''&sigma;'''</tt>.
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: <tt>'''STANDARDIZE'''</tt> calculates and returns (<tt>'''n'''</tt> - <tt>'''&mu;'''</tt>)/ <tt>'''&sigma;'''</tt>.
  
 
=== Example: ===
 
=== Example: ===
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: returns <tt>'''1'''</tt>. The original value <tt>'''14'''</tt> lies 1 standard deviation above the original mean <tt>'''10'''</tt>; the new value lies 1 standard deviation above the new mean <tt>'''0'''</tt>.
 
: returns <tt>'''1'''</tt>. The original value <tt>'''14'''</tt> lies 1 standard deviation above the original mean <tt>'''10'''</tt>; the new value lies 1 standard deviation above the new mean <tt>'''0'''</tt>.
  
=== See also: ===
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{{SeeAlso|EN|
[[Documentation/How_Tos/Calc: STDEV function|'''STDEV''']],
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* [[Documentation/How_Tos/Calc: STDEV function|STDEV]]
[[Documentation/How_Tos/Calc: NORMDIST function|'''NORMDIST''']],
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* [[Documentation/How_Tos/Calc: NORMDIST function|NORMDIST]]
[[Documentation/How_Tos/Calc: NORMSDIST function|'''NORMSDIST''']],
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* [[Documentation/How_Tos/Calc: NORMSDIST function|NORMSDIST]]
[[Documentation/How_Tos/Calc: GAUSS function|'''GAUSS''']]
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* [[Documentation/How_Tos/Calc: GAUSS function|GAUSS]]
  
[[Documentation/How_Tos/Calc: Statistical functions|'''Statistical functions''']]
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* [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]]
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
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[[Category: Documentation/Reference/Calc/Statistical functions]]

Latest revision as of 14:29, 2 February 2024



STANDARDIZE

Converts a value in a normal distribution to its equivalent in a standard normal distribution.

Syntax:

STANDARDIZE(n; μ; σ)

n is a number in a normal distribution with known mean μ and known standard deviation σ.
STANDARDIZE converts n to a corresponding value in a standard normal distribution, which has mean 0 and standard deviation 1.
STANDARDIZE calculates and returns (n - μ)/ σ.

Example:

STANDARDIZE(14; 10; 4)

returns 1. The original value 14 lies 1 standard deviation above the original mean 10; the new value lies 1 standard deviation above the new mean 0.



See Also
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