The standard deviation of 100 observations is 10. If 20 is added to each observation, then what will be the new standard deviation?
- A. 10 ✓
- B. 15
- C. 20
- D. 25
Correct Answer: A. 10
Explanation
Adding or subtracting a constant to each observation in a dataset shifts the mean by that constant but does not change the spread or variance of the data. Thus, the standard deviation remains unchanged at 10.
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