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If each observation of a data set is multiplied by 3, the mean of the new data set is:

  • A.The same as the original mean
  • B.Multiplied by 3
  • C.Multiplied by 9
  • D.Increased by 3

Answer: B

This is a property of the arithmetic mean. If every observation in a data set is multiplied by a constant 'k', the new mean is also multiplied by 'k'.

New Mean = Original Mean × 3.

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