medium · Act math

Consider two data sets. Set M = 2, 4, 6, 8, 10 and Set N = 12, 14, 16, 18, 20.

Which of the following statements must be true regarding the standard deviations of these sets?

  1. The standard deviation of Set M is greater because its values are closer to zero.
  2. The standard deviation of Set M is equal to the standard deviation of Set N.
  3. The standard deviation of Set N is 10 units greater than that of Set M.
  4. The standard deviation of Set N is double the standard deviation of Set M.

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