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The sum of the deviations of a set of n values from their arithmetic mean is:

  • A.0
  • B.1
  • C.N
  • D.Depends on the values

Answer: A

This is a fundamental property of the arithmetic mean. The sum of the deviations of each value from the mean will always be zero.

Mathematically, \(\sum(x_i - \bar{x}) = 0\).

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