Which property of the arithmetic mean states that the sum of deviations from the mean is always zero? MCQ with Answer and Explanation

Which property of the arithmetic mean states that the sum of deviations from the mean is always zero?
A. Invariance under change of origin
B. Sum of deviations property
C. Linearity
D. Minimum sum of squared deviations
Answer: Option B
Solution (By JKSSB Mock Tests)
The sum of deviations of all observations from their arithmetic mean is always zero, i.e., Σ(x - x̄) = 0, which is a fundamental algebraic property of the mean.

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