Question

State and prove the properties of arithmetic mean

Answer 1

Answer:

Properties of Arithmetic Mean

The sum of deviations of the items from their arithmetic mean is always zero, i.e. ∑(x – X) = 0. The sum of the squared deviations of the items from Arithmetic Mean (A.M) is minimum, which is less than the sum of the squared deviations of the items from any other values.

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Answer 2

Answer:

Properties of arithmetic mean

the sum of the deviations of the item from the arithmetic mean is always zero, I. e. sigma ( x-X) = 0