avgdev

Average deviation from the mean.

Syntax

avgdev(dep_vec)

Argument

dep_vec
A vector expression.

Example

Templex Expression Result
{avgdev(1, 2, 3, 4, 5)} 1.25
{avgdev(1, 4, 9, 16, 25)} 7.6
{avgdev({x, x2, x3…})}


A plot of the last example is shown below:
Figure 1.


The horizontal line represents the average of the values in the vector. The vertical lines represent the differences between the values of the vector and the average of the values.

Comments

The average deviation is the average difference between the vector elements and the average of the vector elements. The sign of each element is not taken into consideration when calculating the deviation. The sign of each element is taken into consideration when calculating the average of the elements.