Manuals/calci/STANDARDIZE

STANDARDIZE (X,Mean,StandardDeviation)

• $X$ is the value.
• $Mean$ is the mean.
• $StandardDeviation$ 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 $STANDARDIZE(X,Mean,StandardDeviation)$, $X$ is the value to be normalized , $Mean$ is the arithmetic mean of the distribution, and $StandardDeviation$ is the standard deviation of the distribution.
• The equation for the normalized value is:

$Z={\frac {x-\mu }{\sigma }}$, where $\mu$ is the arithmetic mean and $\sigma$ 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

• NORMDIST
• NORMINV
• NORMSDIST
• NORMSINV

References

• Standrd Score

• List of Main Z Functions

• Z3 home