How to calculate mean and standard deviation for hue values from 0 to 360?

Question

Suppose 5 samples of hue are taken using a simple HSV model for color, having values 355, 5, 5, 5, 5, all a hue of red and \"next\" to each other as far as perception is concern

Answer 1

I think the method proposed by user85109 is a good way to compute the mean, but not the standard deviation: imagine to have three angles: 180, 180, 181

the mean would be correctly computed, as a number aproximately equal to 180

but from [180,180,-179] you would compute a high variance when in fact it is near zero

At first glance, I would compute separately the means and variances for the half positive angles , [0 to 180] and fot the negative ones [0,-180] and later I would compute the combined variance https://www.emathzone.com/tutorials/basic-statistics/combined-variance.html

taking into account that the global mean and the difference between it and the local means has to be computed in both directions: clockwise and counterclockwise, and the the correct one has to be chosen.