Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for positive numbers. Reason (R): Because geometric mean is a measure of central tendency. MCQ with Answer and Explanation

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Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for positive numbers. Reason (R): Because geometric mean is a measure of central tendency.

A. Both A and R true, and R is correct explanation of A

B. A true, R false

C. A false, R true

D. Both A and R true, but R is not correct explanation

Answer: Option D

Solution (By JKExamLibrary)

The inequality AM ≥ GM is a mathematical truth; the reason given does not explain why it holds.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error

The neonatal mortality rate (NMR) in India has declined but still accounts for what proportion of infant deaths?

A. 90%

B. About two-thirds

C. About one-third

D. Half

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Correct Answer: Option B

Explanation:
Neonatal deaths (first 28 days) constitute about 60-70% of infant deaths in India.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Maternal Mortality Ratio (MMR) focuses on deaths related to:

A. Any cause during pregnancy

B. Deaths during hospital delivery only

C. All female deaths aged 15-49

D. Pregnancy, childbirth, or postpartum period (up to 42 days) from pregnancy-related causes

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Correct Answer: Option D

Explanation:
MMR specifically counts maternal deaths from complications of pregnancy, childbirth, or postpartum (within 42 days), excluding accidental or incidental causes, per WHO definition.

This question belongs to: Accountancy and Statistics Statistics