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# stdevf

standard deviation

### Syntax

s=stdevf(x,fre) s=stdevf(x,fre,'r') or s=stdevf(x,fre,1) s=stdevf(x,fre,'c') or s=stdevf(x,fre,2)

### Arguments

- x
real or complex vector or matrix

- fre
real or complex vector or matrix

### Description

This function computes the standard deviation of the
values of a vector or matrix `x`

, each of them
counted with a frequency given by the corresponding
values of the integer vector or matrix `fre`

who
has the same type of `x`

.

For a vector or matrix `x`

, s=stdevf(x,fre) (or
`s=stdevf(x,fre,'*')`

returns in scalar `s`

the standard deviation of all the entries of `x`

,
each value counted with the multiplicity indicated by
the corresponding value of `fre`

.

`s=stdevf(x,fre,'r')`

(or, equivalently,
`s=stdevf(x,fre,1)`

) returns in each entry of the row
vector `s`

of type 1xsize(x,'c') the standard
deviation of each column of `x`

, each value counted
with the multiplicity indicated by the corresponding
value of `fre`

.

`s=stdevf(x,fre,'c')`

(or, equivalently,
`s=stdevf(x,fre,2)`

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

of type size(x,'c')x1 the
standard deviation of each row of `x`

, each value
counted with the multiplicity indicated by the
corresponding value of `fre`

.

### Examples

x=[0.2113249 0.0002211 0.6653811;0.7560439 0.9546254 0.6283918] fre=[1 2 3;3 4 3] m=stdevf(x,fre) m=stdevf(x,fre,'r') m=stdevf(x,fre,'c')

### Bibliography

Wonacott, T.H. & Wonacott, R.J.; Introductory Statistics, fifth edition, J.Wiley & Sons, 1990.

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