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# mad

mean absolute deviation

### Syntax

s2=mad(x) s2=mad(x,'r') or s2=mad(x,1) s2=mad(x,'c') or s2=mad(x,2)

### Arguments

- x
real or complex vector or matrix

### Description

This function computes the mean absolute deviation of a
real or complex vector or matrix `x`

.

For a vector or matrix `x`

, `s2=mad(x)`

returns in scalar `s2`

the mean absolute deviation
of all the entries of `x`

.

`s2=mad(x,'r')`

(or, equivalently, `s2=mad(x,1)`

)
returns in each entry of the column vector `s2`

the mean absolute deviation of each column of `x`

.

`s2=mad(x,'c')`

(or, equivalently, `s2=mad(x,2)`

)
returns in each entry of the column vector `s2`

the mean absolute deviation of each row of `x`

.

### Examples

x = [2 2 3 4 14]; // Mean absolute deviation of a set of data // Expected = (|2-5|+|2-5|+|3-5|+|4-5|+|14-5|) / 5 = 3.6 mad(x)

### Bibliography

Reference: Wonacott T.H.& Wonacott R.J. .- Introductory Statistics, 5th edition, John Wiley, 1990.

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