# 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..

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Your first number is $39 + \dfrac{15}{60} + \dfrac{1}{60^2} = 39.250277777\ldots$. Deal similarly with the others.