Difference between revisions of "Manuals/calci/STANDARDIZE"

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*<math> m </math> is the mean.
 
*<math> m </math> is the mean.
 
*<math> sd </math> is the standard deviation.
 
*<math> sd </math> is the standard deviation.
 
  
 
==Description==
 
==Description==
 
*This function gives the  normalized value of any distribution.
 
*This function gives the  normalized value of any distribution.
 
*Standardize is the normalized value for a distribution characterized by a given mean and standard deviation.  
 
*Standardize is the normalized value for a distribution characterized by a given mean and standard deviation.  
*In <math> STANDARDIZE(x,m,sd), x </math> is the value to be normalized , <math> m </math> is the arithmetic mean of the distribution, and <math> sd </math> is the standard deviation of the distribution.  
+
*In <math> STANDARDIZE(x,m,sd)</math>, <math>x </math> is the value to be normalized , <math> m </math> is the arithmetic mean of the distribution, and <math> sd </math> is the standard deviation of the distribution.  
*The equation for the normalized value is:<math> Z= \frac{x-\mu}{\sigma}</math>, where <math> \mu </math> is the arithmetic mean and <math>\sigma </math> is the standard deviation.  
+
*The equation for the normalized value is:
 +
<math> Z= \frac{x-\mu}{\sigma}</math>, where <math> \mu </math> is the arithmetic mean and <math>\sigma </math> is the standard deviation.  
 
*This function will give the result as error when  
 
*This function will give the result as error when  
       1. Any one of the argument is nonnumeric.  
+
       1. Any one of the argument is non-numeric.  
 
       2. sd<=0
 
       2. sd<=0
 
  
 
==Examples==
 
==Examples==
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#=STANDARDIZE(2,0,5.3) = 0.377358490566
 
#=STANDARDIZE(2,0,5.3) = 0.377358490566
 
#=STANDARDIZE(-2,1,6.17) = -0.48622366288
 
#=STANDARDIZE(-2,1,6.17) = -0.48622366288
 
  
 
==See Also==
 
==See Also==
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*[[Manuals/calci/NORMSDIST  | NORMSDIST ]]
 
*[[Manuals/calci/NORMSDIST  | NORMSDIST ]]
 
*[[Manuals/calci/NORMSINV  | NORMSINV ]]
 
*[[Manuals/calci/NORMSINV  | NORMSINV ]]
 
 
  
 
==References==
 
==References==

Revision as of 01:53, 5 February 2014

STANDARDIZE(x,m,sd)


  • is the value.
  • is the mean.
  • is the standard deviation.

Description

  • This function gives the normalized value of any distribution.
  • Standardize is the normalized value for a distribution characterized by a given mean and standard deviation.
  • In , is the value to be normalized , is the arithmetic mean of the distribution, and is the standard deviation of the distribution.
  • The equation for the normalized value is:

, where is the arithmetic mean and is the standard deviation.

  • This function will give the result as error when
     1. Any one of the argument is non-numeric. 
     2. sd<=0

Examples

  1. =STANDARDIZE(25,20,10.2) = 0.490196078431
  2. =STANDARDIZE(52.5,42,3.25) = 3.230769230769
  3. =STANDARDIZE(30,35,4.21) = -1.187648456057
  4. =STANDARDIZE(2,0,5.3) = 0.377358490566
  5. =STANDARDIZE(-2,1,6.17) = -0.48622366288

See Also

References