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7.1.42 STANDARD-DEVIATION



The STANDARD-DEVIATION function returns a numeric value that approximates the standard deviation of its arguments.

The function type is numeric.


    ___ Format _____________________________________________________________ 
   |                                                                        |
   |                                     <____________                      |
   | >>__FUNCTION STANDARD-DEVIATION__(____argument-1_|__)_______________>< |
   |                                                                        |
   |________________________________________________________________________|
argument-1
Must be class numeric.

The returned value is the approximation of the standard deviation of the argument-1 series. The returned value is calculated as follows:

  1. The difference between each argument-1 and the arithmetic mean of the argument-1 series is calculated and squared.
    
    
  2. The values obtained are then added together. This quantity is divided by the number of values in the argument-1 series.
    
    
  3. The square root of the quotient obtained is then calculated. The returned value is the absolute value of this square root.
    
    

If the argument-1 series consists of only one value, or if the argument-1 series consists of all variable occurrence data items and the total number of occurrences for all of them is one, the returned value is zero.

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