# SEM function

## Description

Standard error of the mean function. SEM(range) calculates the standard error of the mean (SEM) of the data in range.

The argument range can be a list of numbers, cell addresses, cell ranges (such as A1:A10).

Range can also be a matrix. In that case the function returns a matrix with one row and the same number of columns, with each element the SEM of the corresponding column. If range is a row matrix, it is converted to a column matrix first.

The Standard Error of the Mean (SEM) is calculated as follows:

$$SEM = \frac{s}{\sqrt{n}} $$

where * s* is the standard deviation:

$$s = \sqrt{\frac{\sum_{}^{}{(x-\bar{x})^2}}{n-1}} $$

## Example

SEM(A1:A8) calculates the standard error of the mean of the contents of cells A1 to A8.