The standard deviation of 100 observations is 10. If 5 is multiplied to each of the observations, then what is the new standard deviation ?

  1. A. 20
  2. B. 25
  3. C. 40
  4. D. 50

Correct Answer: D. 50

Explanation

When each observation is multiplied by a constant k, the new standard deviation becomes |k| times the old standard deviation. Thus, 5 * 10 = 50.

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