Multiple choice

What is the algebraic sum of the deviations from the mean of a set of values 25, 65, 73, 75, 83, 76, 17, 15, 7, 14?

  1. -1

  2. 0

  3. 1

  4. 2
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B Correct answer
Explanation

The algebraic sum of deviations from the mean is always zero by definition of the arithmetic mean.

AI explanation

A fundamental property of the arithmetic mean is that the algebraic sum of the deviations of a set of values from their mean is always zero. Therefore, no calculation of the actual mean is required for these ten values. The algebraic sum of the deviations is 0.

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