If every value in a dataset is multiplied by a constant k=-3, how does the variance of the new dataset relate to the original variance σ 2 ?

CA Foundation · Quantitative Aptitude · MTP · September 2026
If every value in a dataset is multiplied by a constant k=-3, how does the variance of the new dataset relate to the original variance σ 2 ?
(A) A. -9σ 2
(B) B. 9σ 2
(C) C. 3σ 2
(D) D. -3σ 2

Suggested Answer and Working Notes:

Correct Answer: Option (B)

B. 9σ 2

Topics: Part-C: Statistics

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