Difference between revisions of "Manuals/calci/STANDARDIZE"

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<div style="font-size:30px">'''STANDARDIZE(x,m,sd)'''</div><br/>
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<div style="font-size:30px">'''STANDARDIZE (X,Mean,StandardDeviation)'''</div><br/>
*<math>x </math> is the value.
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*<math>X </math> is the value.
*<math> m </math> is the mean.
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*<math>Mean</math> is the mean.
*<math> sd </math> is the standard deviation.
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*<math>StandardDeviation </math> is the standard deviation.
 +
**STANDARDIZE(),returns a normalized value.
  
 
==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)</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.  
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*In <math> STANDARDIZE (X,Mean,StandardDeviation)</math>, <math>X</math> is the value to be normalized , <math> Mean </math> is the arithmetic mean of the distribution, and <math> StandardDeviation </math> is the standard deviation of the distribution.  
 
*The equation for the normalized value is:
 
*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.  
 
<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 non-numeric.  
 
       1. Any one of the argument is non-numeric.  
       2. sd<=0
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       2. StandardDeviation<=0
  
 
==Examples==
 
==Examples==

Latest revision as of 17:14, 8 August 2018

STANDARDIZE (X,Mean,StandardDeviation)


  • is the value.
  • is the mean.
  • is the standard deviation.
    • STANDARDIZE(),returns a normalized value.

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. StandardDeviation<=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

Related Videos

STANDARDIZE

See Also

References