How does one calculate the average of a distribution of angles? The mean of 360 deg and 0 deg is not 180 degrees.
I was quite certain that while it is possible to get around the problem programatically, there should be a host of mathematical methods to deal with functions that have circular domains. That's directional statistics and it deals with statistics in certain non-Euclidean spaces.
In a nutshell, that's how I calculated the average of angles in Python (and in radians!):
I was quite certain that while it is possible to get around the problem programatically, there should be a host of mathematical methods to deal with functions that have circular domains. That's directional statistics and it deals with statistics in certain non-Euclidean spaces.
In a nutshell, that's how I calculated the average of angles in Python (and in radians!):
def getCircularMean(angles):
n = len(angles)
sineMean = np.divide(np.sum(np.sin(angles)), n)
cosineMean = np.divide(np.sum(np.cos(angles)), n)
vectorMean = math.atan2(sineMean, cosineMean)
return vectorMean
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