In a research study, the heights (in centimeters) of 12 male participants were recorded as follows:
175, 180, 178, 165, 170, 172, 185, 176, 174, 169, 167, 181.
Using this data, calculate the standard deviation of the participants' heights. The standard deviation formula is given by:
$$ s =\frac{ ext{sqrt} igg(\frac{ ext{sum}(x_i - ar{x})^2}{n-1} igg)} $$
where $s$ is the sample standard deviation, $x_i$ are the data points, $ar{x}$ is the mean of the data points, and $n$ is the number of data points.