For a dataset, if all values are multiplied by a constant k, the new arithmetic mean is: MCQ with Answer and Explanation

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For a dataset, if all values are multiplied by a constant k, the new arithmetic mean is:

A. Multiplied by k

B. Divided by k

C. Unchanged

D. Multiplied by k²

Answer: Option A

Solution (By JKExamLibrary)

Mean is linear: if x̄ is original mean, new mean = Σ(kx)/n = kΣx/n = kx̄. This property is useful for unit conversions (e.g., meters to centimeters).

This question belongs to: Accountancy and Statistics Statistics

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