The geometric mean is undefined for datasets containing: MCQ with Answer and Explanation

The geometric mean is undefined for datasets containing:
A. More than 10 observations
B. Non-integer values
C. Values greater than 100
D. Zero or negative values
Answer: Option D
Solution (By JKExamLibrary)
Geometric mean involves multiplying values and taking the nth root; zero makes the product zero, and negative values can yield complex roots, so it is only defined for positive numbers.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
In most human populations, the age group with the highest age-specific fertility rate is typically:
A. 15-19
B. 40-44
C. 30-34
D. 20-24

Correct Answer: Option D


Explanation:
Fertility peaks in the 20-24 or 25-29 age range; commonly 20-24 is the highest in many populations.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
If the Arithmetic Mean (AM) of two positive numbers is 10 and their Geometric Mean (GM) is 8, what is their Harmonic Mean (HM)?
A. 7.2
B. 8.5
C. 6.4
D. 9.0

Correct Answer: Option C


Explanation:
For two positive numbers, AM × HM = GM². Therefore, 10 × HM = 64, which gives HM = 6.4.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Which of the following is NOT an application of the Consumer Price Index (CPI)?
A. Deflating income to find real income
B. Measuring inflation for households
C. Wage negotiations and determining Dearness Allowance
D. Measuring macroeconomic industrial output

Correct Answer: Option D


Explanation:
Industrial output is measured by the Index of Industrial Production (IIP). CPI measures the retail price impact on consumers.

This question belongs to: Accountancy and Statistics Statistics