PRC-2 · Chapter 8 · Question 48 of 60
If a constant value of 15 is systematically subtracted from every observation in a dataset, what is the resulting effect on the dataset's standard deviation?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) It remains completely unchanged.
Explanation
Standard deviation measures the relative dispersion (spread) of data points around the mean. Subtracting a constant strictly shifts the entire distribution's origin without altering the physical spread of the points, leaving dispersion unchanged.
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