PRC-2 · Chapter 8 · Question 46 of 60
According to the fundamental properties of the arithmetic mean, what does the sum of the deviations of all observations from their mathematical mean precisely equal?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) Exactly zero
Explanation
The arithmetic mean serves as the absolute center of gravity for the data. Consequently, the sum of all positive and negative deviations from the mean (∑(x - x̄)) mathematically perfectly cancel out to equal zero.
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