Average deviation
Syntax: | s = ADEV(x) s = ADEV(w,x) |
The ADEV
function only accepts one or two vector arguments.
If only one vector is entered, the function returns the average deviation of that vector's data. If two
vectors are entered, the first vector holds the weights and the second vector holds the data. The result is
always a scalar value.
Suppose that x is a vector with N elements.
A weight vector, w, may be entered as the first argument. The
length of w is assumed to also be N. If no weights are entered,
let default to
1
, for
Define the total weight:
The mean value, , is
defined by
The average deviation, or mean deviation,
, is defined by
Examples
Suppose X = [1;2;3;4;5;6;7;8;9;10]
, then A = ADEV(X)
returns scalar
A
with the value 2.5
.
Suppose W = [1;1;1;5;5;5;5;1;1;1]
, then A = ADEV(W,X)
returns scalar
A
with the value 1.57692
.