The geometric mean is equal to the arithmetic mean when: MCQ with Answer and Explanation

The geometric mean is equal to the arithmetic mean when:
A. Data are symmetric
B. All values are different
C. All values are equal
D. Data contain negative numbers
Answer: Option C
Solution (By JKExamLibrary)
AM = GM if and only if all numbers are identical.

This question belongs to: Accountancy and Statistics Statistics

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1 Report Error
Assertion (A): The median is a better measure of central tendency than the mean for ordinal data. Reason (R): The median is based on the rank order and is unaffected by the exact magnitude of differences. Choose the correct option:
A. Both A and R are true, and R is the correct explanation of A
B. A is false, R is true
C. A is true, R is false
D. Both A and R are true, but R is not the correct explanation of A

Correct Answer: Option A


Explanation:
For ordinal data, median uses rank, ignoring magnitude, thus it's appropriate. R explains why.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Which fertility measure accounts for the age structure of the female population in the reproductive age group?
A. Gross Reproduction Rate
B. General Fertility Rate
C. Age Specific Fertility Rate
D. Crude Birth Rate

Correct Answer: Option C


Explanation:
Age Specific Fertility Rate (ASFR) calculates fertility for specific age groups of women, removing the bias of age structure.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Net Reproduction Rate (NRR) incorporates which additional factor compared to GRR?
A. Female mortality before reproductive age
B. Male fertility
C. Economic development index
D. Migration rates

Correct Answer: Option A


Explanation:
NRR adjusts GRR by multiplying age-specific fertility rates by the probability of surviving to each age, accounting for female deaths before childbearing years to assess true generational replacement.

This question belongs to: Accountancy and Statistics Statistics