Question

sum of deviation of different values from arithmetic mean is always equal to​

Answer 1

Answer:

The sum of the deviations of a given set of observations from their arithmetic mean is always zero.

Answer 2

The sum of deviation of different values from the arithmetic mean is always equal to zero.

Explanation:

The sum of the deviations of different numbers of values from the arithmetic mean in a data set or distribution is always equal to zero.The mean of any data set represents the central value or measure of that particular data set and the sum of the deviation of different values from the mean shows the measure of dispersion of variability of the set.Since the mean is the central or middle value of the entire data set,it ideally divides the set into two equal halves and the sum of the deviations of all the values less than the mean is equal to the sum of the deviations of all the values greater than mean and hence,sum of deviation of all values from the mean will always be zero.