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 k²

B. Unchanged

C. Divided by k

D. Multiplied by k

Answer: Option D

Solution (By JKSSB Mock Tests)

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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Question #1

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Factor reversal test requires that the product of a price index and its corresponding quantity index equals:

A. 1

B. Current year value

C. Value index

D. Base year value

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Correct Answer: Option C

Explanation:
The product should equal the value ratio Σp₁q₁/Σp₀q₀, i.e., the value index.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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In tabulation, 'box-head' refers to:

A. The title of the table

B. The part of the table containing column headings

C. The left part with row headings

D. The footnotes

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Correct Answer: Option B

Explanation:
Box-head is the portion above the stub containing the column captions.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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If the mean of a distribution is 30 and the mode is 24, the distribution is:

A. Symmetric

B. Positively skewed

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Correct Answer: Option B

Explanation:
Mean > Mode implies positive skewness.

This question belongs to: Accountancy and Statistics Statistics

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