Compute the standard error of the sample mean

Usage

std_error(x)

Arguments

x

A numeric vector with the sample data.

Value

A number representing the standard error.

Details

The standard error can be estimated by the standard deviation of the sample (${\sigma }_{\overline{x}}$) divided by the square root of the sample size ($\sqrt{n}$).

$${\sigma }_{\overline{x}}=\frac{\sigma }{\sqrt{n}}\approx \frac{s}{\sqrt{n}}$$

See also

Examples

1:100 |> std_error() |> round(5)
#> [1] 2.90115
#> [1] 2.90115 # Expected