Which of the following statements is true for the geometric mean? MCQ with Answer and Explanation

Question
Which of the following statements is true for the geometric mean?
A. GM can be calculated for data containing negative values.
B. GM = 0 if all values are positive.
C. GM is always greater than AM.
D. GM is suitable for averaging ratios and percentages.
Answer: Option D
Solution (By JKSSB Mock Tests)
GM is appropriate for multiplicative data like growth rates. It cannot handle negatives, and GM ≤ AM.
This question belongs to: Accountancy and Statistics Statistics
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Practice More Statistics Questions

Question #1
Given the following ASFR (per 1000 women) for 5-year age groups: 15-19:20, 20-24:150, 25-29:120, 30-34:80, 35-39:30, 40-44:10, 45-49:5. The TFR (children per woman) is approximately:
A. 2.075
B. 1.5
C. 2.08
D. 415
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Correct Answer: Option A

Explanation:
Sum of ASFRs = 415 per 1000. TFR = 5 × 415/1000 = 2075/1000 = 2.075 children per woman.
This question belongs to: Accountancy and Statistics Statistics
Question #2
The condition that the ultimate class frequencies must be non-negative ensures:
A. Association
B. Positive association
C. Consistency of data
D. Independence
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Correct Answer: Option C

Explanation:
Consistency requires all ultimate frequencies to be ≥ 0, otherwise the data contain contradictions.
This question belongs to: Accountancy and Statistics Statistics
Question #3
An index number measures:
A. Relative change over time or space
B. Absolute change
C. Average only
D. Total value
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Correct Answer: Option A

Explanation:
Index numbers measure relative changes in a variable compared to a base period.
This question belongs to: Accountancy and Statistics Statistics
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