If every observation in a dataset is doubled, the arithmetic mean: MCQ with Answer and Explanation

If every observation in a dataset is doubled, the arithmetic mean:
A. Is also doubled
B. Remains unchanged
C. Increases by 2
D. Becomes half
Answer: Option A
Solution (By JKExamLibrary)
Mean is affected by change of scale; multiplying by 2 scales the mean by 2.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
The geometric mean is most appropriate for averaging:
A. Price ratios and growth rates
B. Test scores
C. Income levels
D. Heights

Correct Answer: Option A


Explanation:
Geometric mean is suitable for averaging ratios and percentage changes because it accounts for compounding.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
A bag contains 5 red, 4 blue, 3 green balls. Two balls are drawn without replacement. Probability that both are same color is:
A. 12/66
B. 15/66
C. 20/66
D. 19/66

Correct Answer: Option D


Explanation:
Total ways C(12,2)=66. Favorable: C(5,2)+C(4,2)+C(3,2) = 10+6+3=19. Probability=19/66.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
The mode is not unique when:
A. Data are continuous
B. Two values appear with the same highest frequency
C. All values appear exactly once
D. Data are qualitative

Correct Answer: Option B


Explanation:
If two or more values share the maximum frequency, the distribution is multimodal.

This question belongs to: Accountancy and Statistics Statistics