PRC-2 · Chapter 8 · Question 31 of 60
A fundamental mathematical property of the arithmetic mean dictates that the sum of the deviations of all individual observations from their mean will always equal:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) Exactly zero
Explanation
The arithmetic mean acts as the exact mathematical center of gravity for a dataset. Therefore, the sum of the positive and negative deviations from the mean (∑(x - x̄)) perfectly cancel each other out to equal zero.
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