Finding the standard deviation of a set of angles. My question is given a set of angles in the form of degrees minutes and seconds once finding the mean how do you find the standard deviation.
I know how to find the average or mean of a set (see below) but i'm not sure how to find the standard deviation.
For example say we have the following set of angles:
$$39^\circ 15'01''$$
$$39^\circ 14'15''$$
$$39^\circ 14'32''$$
The average is $39^\circ 14'36''$.  Now, how do I find the standard deviation.
I looked at the wiki page, but can't make since of it using degrees minutes seconds instead..

This is a link to the Standard Deviation formula of a sample, applying it to your example:
√(((15′01″ - 14′36″)^2+(14′15″ - 14′36″)^2+(14′32″ - 14′36″)^2)/3-1)
= 23.26″
