What happens to the Variance of a dataset if each observation is multiplied by a constant 'k'? MCQ with Answer and Explanation

What happens to the Variance of a dataset if each observation is multiplied by a constant 'k'?
A. It increases by k
B. It is multiplied by k
C. It is multiplied by k^2
D. It remains unchanged
Answer: Option C
Solution (By JKExamLibrary)
Variance involves squaring the deviations. Multiplying data by k scales the variance by the square of that constant (k^2).

This question belongs to: Accountancy and Statistics Statistics

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Paasche price index is represented by:
A. Σp₁q₀ / Σp₀q₀ × 100
B. Σp₁q₀ / Σp₀q₁ × 100
C. Σp₁q₁ / Σp₀q₀ × 100
D. Σp₁q₁ / Σp₀q₁ × 100

Correct Answer: Option D


Explanation:
Paasche uses current period quantities: Σp₁q₁ / Σp₀q₁ × 100.

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The geometric mean of a set of 5 positive observations is 6. Four of them are 3, 6, 4, and 9. The fifth observation is:
A. 12
B. 18
C. 10
D. 8

Correct Answer: Option A


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Consumer Price Index (CPI) combines prices of goods and services based on:
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