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Question 380005
JEE Mathematics · Medium

Statistics: Standard deviation MCQ

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Standard deviationMediumQuestion 380005

Question

If all values in a dataset are increased by a constant k, the standard deviation:
  1. A
    Remains unchanged
    Correct
  2. B
    Increases by k
  3. C
    Decreases by k
  4. D
    Multiplied by k

Correct answer

Remains unchanged

Explanation

Adding a constant to all values shifts the mean by k but doesn't change the spread. Variance and SD are unchanged. However, multiplying all values by k multiplies SD by |k|.

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