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

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What happens to the Variance of a dataset if each observation is multiplied by a constant 'k'?

A. It remains unchanged

B. It is multiplied by k

C. It is multiplied by k^2

D. It increases by k

Answer: Option C

Solution (By JKSSB Mock Tests)

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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Question #1

Which of the following statements about crude birth rate (CBR) is true?

A. CBR is affected by the age structure of the population.

B. CBR is a refined measure of fertility.

C. CBR = (Total births / Total female population) × 1000

D. CBR includes only male births.

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Correct Answer: Option A

Explanation:
CBR uses total population, so age composition influences it.

This question belongs to: Accountancy and Statistics Statistics

Question #2

A frequency distribution with open-end intervals cannot be used to compute:

A. Quartiles

B. Mode

C. Arithmetic mean accurately

D. Median

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Correct Answer: Option C

Explanation:
Without exact limits, the arithmetic mean cannot be calculated precisely.

This question belongs to: Accountancy and Statistics Statistics

Question #3

In a frequency distribution, the modal class is the class with:

A. Highest frequency

B. Largest class interval

C. Median value

D. Highest class mark

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Correct Answer: Option A

Explanation:
The mode is the most frequent value; the modal class is the interval with the maximum frequency.

This question belongs to: Accountancy and Statistics Statistics

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