Time for an 2014 update…
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meandegrees(degrees) = radians2degrees(atan2(mean(sind(degrees)), mean(cosd(degrees))))
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julia> meandegrees([350, 10])
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0.0
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julia> meandegrees([90, 180, 270, 360]])
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0.0
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julia> meandegrees([10, 20, 30]])
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19.999999999999996
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