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The mean of 1, 3, 4, 5, 7, 4 is 4. The sum of deviations of each value from the mean is:

  • A.-1
  • B.0
  • C.1
  • D.4

Answer: B

A fundamental property of the arithmetic mean is that the sum of the deviations of the data points from their mean is always zero.

We can verify: (1-4) + (3-4) + (4-4) + (5-4) + (7-4) + (4-4)

= (-3) + (-1) + 0 + 1 + 3 + 0 = 0.

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