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# dim_stddev_n_Wrap

Computes the sample standard deviation of a variable's given dimension(s) at all other dimensions and retains metadata.

Available in version 5.1.1 and later.

## Prototype

```load "\$NCARG_ROOT/lib/ncarg/nclscripts/csm/contributed.ncl"

function dim_stddev_n_Wrap (
x        : numeric,
dims [*] : integer
)

return_val  :  float or double
```

## Arguments

x

A variable of numeric type and any dimensionality.

dims

The dimension(s) of x on which to calculate the standard deviation. Must be consecutive and monotonically increasing.

## Return value

The output will be double if x is double, and float otherwise.

The output dimensionality will be the same as all but the dims's dimensions of the input variable. The dimension rank of the input variable will be reduced by the rank of dims.

## Description

The dim_stddev_n_Wrap function computes the sample standard deviation of all elements of the dimensions indicated by dims for each index of the remaining dimensions and retains metadata. A wrapper function. Missing values are ignored.

Technically, this function calculates the sample standard deviation. This means that it divides by one less than the total number of non-missing values (1/(N-1)).

## Examples

Example 1

Create a variable q of size (3,5,10) array. Then calculate the sample standard deviation of the rightmost dimension.

```    q   = random_uniform(-20,100,(/3,5,10/))
qStd= dim_stddev_n_Wrap(q,2)   ;==>  qStd(3,5)
```
Example 2

Let x be of size (ntim,nlat,mlon) and with named dimensions "time", "lat" and "lon", respectively. Then, for each time and latitude, the standard deviation is:

```    xStdLon= dim_stddev_n_Wrap( x,2 )    ; ==> xStdLon(ntim,nlat)
```
Example 3

Let x be defined as in Example 2: x(time,lat,lon). Compute the temporal standard deviation at each latitude/longitude grid point. Use NCL's Named Subscripting to reorder the input array such that "time" is the rightmost dimension.

```    xStdTime = dim_stddev_Wrap(x(lat|:, lon|:, time|:)) ; xStdTime(nlat,nlon)
;Version 5.1.1: no reordering necessary
xStdTime = dim_stddev_n_Wrap( x, 0 )    ; ==> xStdTime(nlat,nlon)
```