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Scilab Help >> Statistics > Dispersion widths > stdevf

# 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.