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# variancef

standard deviation of the values of a vector or matrix

### Calling Sequence

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

### Arguments

- x
real or complex vector or matrix

### Description

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

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

with the same type of
`x`

.

For a vector or matrix `x`

, `s=variancef(x,fre)`

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

) returns in scalar `s`

the
variance of all the entries of `x`

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

.

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

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

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

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

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

.

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

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

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

of type size(x,'c') x1 the variance
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=variancef(x,fre) m=variancef(x,fre,'r') m=variancef(x,fre,'c')

### Bibliography

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

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