The sum of the deviations around the mean is always zero.

Name: The sum of the deviations around the mean is always zero.
Brand: Quizplus
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Quizplus · Accepted Answer

This is also known as the "zero sum property of deviations." It is true because for any data set, the total amount of deviation above the mean is equal to the total amount of deviation below the mean. Therefore, the sum of all deviations is always zero.

The Sum of the Deviations Around the Mean Is Always