In a set of numbers, if the geometric mean is zero, then: MCQ with Answer and Explanation

In a set of numbers, if the geometric mean is zero, then:
A. All numbers are zero
B. At least one number is zero
C. The median is zero
D. The arithmetic mean is also zero
Answer: Option B
Solution (By JKSSB Mock Tests)
GM = 0 if any value is zero.

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Practice More Statistics Questions

Question #1
The index number that uses the geometric mean of price relatives with base year value weights is:
A. Walsh index
B. Fisher index
C. Theil-Tornqvist index
D. Marshall-Edgeworth index

Correct Answer: Option C


Explanation:
Theil-Tornqvist index uses base and current value shares as weights for geometric mean of price relatives.

This question belongs to: Accountancy and Statistics Statistics
Question #2
If every observation in a dataset is doubled, the arithmetic mean:
A. Is also doubled
B. Becomes half
C. Remains unchanged
D. Increases by 2

Correct Answer: Option A


Explanation:
Mean is affected by change of scale; multiplying by 2 scales the mean by 2.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The primary purpose of the Consumer Price Index (CPI) is to measure:
A. Changes in the retail prices of a fixed basket of consumer goods and services
B. Wholesale market price trends
C. Export price competitiveness
D. Producer cost inflation

Correct Answer: Option A


Explanation:
CPI tracks the average price change over time for a representative basket of goods and services purchased by households, serving as the main gauge of consumer inflation.

This question belongs to: Accountancy and Statistics Statistics