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

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What is the standard deviation of 42?

42 is the variance. To find the standard deviation, take the square root of the variance. The square root of 42 is 6.481.

What is the value of 1 SD from the mean?

This rule tells us that around 68% of the data will fall within one standard deviation of the mean; around 95% will fall within two standard deviations of the mean; and 99.7% will fall within three standard deviations of the mean.

How do you calculate SD above mean?

Answer: The value of standard deviation, away from mean is calculated by the formula, X = µ ± Zσ The standard deviation can be considered as the average difference (positive difference) between an observation and the mean.


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 concerned. But the simple average is 75 which is far away from 0 or 360, close to a yellow-green.

What is a better way to calculate this mean and associated std?