In: Statistics and Probability
Sum of the deviations from Mean is equal to zero.
Check the validity of this statement by taking observations 8. 1 and 6?
Arithmetic Mean formula is:
x̅=1/n∑xi
Therefore, Arithmetic Mean of the given observations 8,1 and 6 is:
x̅=1/3(8+1+6)
x̅=5
So, x̅=5, as also shown below. Further calculating algebric sum of the deviations of observations 8, 1 and 6 from the Arithmetic Mean (x̅=5):
Thus, algebric sum of the deviations of observations 8, 1 and 6 from mean is equal to zero.
Hence, the given statement is correct.
The given statement that algebric sum of the deviations from mean is equal to zero is correct.