The standard deviation of 100 observations is 10. If 5 is multiplied to each of the observations, then what is the new standard deviation ?
- A. 20
- B. 25
- C. 40
- 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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