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Mathematical Properties
The sum of deviations of the items from the arithmetic mean (taking signs into account) is always zero, i.e. = 0.
The sum of the squared deviations of the items from arithmetic mean is less than the sum of the squared deviations of the items from any other value, i.e. is less than where A is any other point, different from .
Since, = , (N x ) = .
If we have the arithmetic mean and number of items of two or more than two groups, we can compute combined average of these groups, by applying the following formula:
where,
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Weighted Harmonic Mean Weighted Harmonic Mean is calculated with the help of the following formula: WHM Case
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(a) Elevation (m) 0 400 800 1200 1600 2000 2400 2800 3200 4000 480
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