Question

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?

Sum of the deviations from Mean is equal to zero. 

Check the validity of this statement by taking observations 8. 1 and 6?

Solutions

Expert Solution

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. 

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