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

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

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Practice More Statistics Questions

Question #1
Assertion (A): Mailed questionnaire method is suitable when the informants are illiterate. Reason (R): Mailed questionnaire does not require any personal interaction. Choose the correct option:
A. A is false, R is true
B. A is true, R is false
C. Both A and R are true, but R is not the correct explanation of A
D. Both A and R are true, and R is the correct explanation of A

Correct Answer: Option A


Explanation:
Mailed questionnaire is unsuitable for illiterates because they cannot read/write. The reason (no personal interaction) is true but does not make it suitable for illiterates; in fact, it makes it worse.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The sex ratio in India (Census 2011) is defined as:
A. Number of males per 1000 population
B. Number of females per 1000 population
C. Number of males per 1000 females
D. Number of females per 1000 males

Correct Answer: Option D


Explanation:
Sex ratio is females per 1000 males; in 2011 it was 943.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The population of India as per 2011 Census is:
A. 1.4 billion
B. 1.02 billion
C. 1.31 billion
D. 1.21 billion

Correct Answer: Option D


Explanation:
1.21 billion (1210.2 million).

This question belongs to: Accountancy and Statistics Statistics