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.

Shams answered 1 year ago

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