Question

The sum of deviation of the observations from their Arithmetic mean is always____
and the sum of the square of the deviation of the observation from their Arithmetic
mean is_____
(A) Zero, Minimum
(c) Zero, Maximum
(B) Maximum, Maximum
(D) Zero, Zero​

Answer 1

Answer:

The sum of the deviations of a given set of observations from their arithmetic mean is always zero. It is due to the property that the arithmetic mean is characterised as the centre of gravity. i.e. sum of positive deviation from the mean is equal to the sum of negative deviations.