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. Divided by k

B. Multiplied by k²

C. Unchanged

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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In a continuous frequency distribution, the class interval '10-20' means the class includes:

A. Values from 10 up to but not including 20 (in an exclusive series)

B. Values from 10 up to exactly 20

C. Values greater than 20

D. Only the values 10 and 20

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Correct Answer: Option A

Explanation:
In standard exclusive class intervals, the lower limit is included, but the upper limit is excluded and falls into the next class.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Life expectancy at birth is a summary measure of:

A. Migration

B. Fertility

C. Mortality

D. Nuptiality

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Correct Answer: Option C

Explanation:
Life expectancy is derived from age-specific mortality rates and reflects overall mortality conditions.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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If a constant is added to all observations, which of the following measures changes?

A. Variance

B. Standard deviation

C. Arithmetic mean

D. Range

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Correct Answer: Option C

Explanation:
Adding a constant changes the mean but not measures of dispersion.

This question belongs to: Accountancy and Statistics Statistics

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