| Functions and CALL Routines | 
| Category: | Descriptive Statistics | 
| Syntax | |
| Arguments | |
| Details | |
| Examples | 
Syntax | 
| RMS(argument<,argument,...>) | 
is a numeric constant, variable, or expression.
| Tip: | The argument list can consist of a variable list, which is preceded by OF. | 
| Details | 
The root mean square is the square root of the arithmetic mean of the squares of the values. If all the arguments are missing values, then the result is a missing value. Otherwise, the result is the root mean square of the non-missing values.
Let 
 be the number of arguments with non-missing values, and
let 
 be the values of those arguments. The root mean square
is
![[equation]](images/deqn211.gif)
| Examples | 
| SAS Statements | Results | 
|---|---|
x1=rms(1,7);  | 
  
5  | 
x2=rms(.,1,5,11);  | 
  
7  | 
x3=rms(of x1-x2);  | 
  
6.0827625303  | 
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