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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.
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**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==
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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
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==Related Videos==
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{{#ev:youtube|hR6_JKIoI2c|280|center|STANDARDIZE}}
    
==See Also==
 
==See Also==
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==References==
 
==References==
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*[http://en.wikipedia.org/wiki/Standard_score Standrd Score]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]
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