Free ACT Practice Question

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ID: ACT-M-105
Section: Math
Topics: Statistics & Probability; Statistics
Difficulty level: Hard

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If multiplying all the elements of a set by any constant leaves the average (arithmetic mean) unchanged, which of the following statements must be true?

  1. Average (arithmetic mean) $= 0$
  2. Sum of the elements of the set equals $0$
  3. The set contains at least one positive and one negative number
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