Assertion (A): The arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean. Reason (R): AM ≥ GM for any set of non-negative numbers, and equality holds when all numbers are equal. Choose the correct option: MCQ with Answer and Explanation

Question

Assertion (A): The arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean. Reason (R): AM ≥ GM for any set of non-negative numbers, and equality holds when all numbers are equal. Choose the correct option:

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

B. Both A and R are true, but R is not the correct explanation of A

C. A is false, R is true

D. A is true, R is false

Answer: Option A

Solution (By JKSSB Mock Tests)

AM-GM inequality is a fundamental property. R correctly states the condition and explains A.

This question belongs to: Accountancy and Statistics Statistics

Request complete Subject PDF

Discuss this Question (0)

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

Practice More Statistics Questions

Question #1

Share Report

Direct standardization of death rates requires:

A. Age-specific death rates of the study population and age distribution of a standard population

B. Crude death rates of both populations

C. Fertility data for adjustment

D. Total deaths and population for both groups

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Direct standardization applies the study population's age-specific death rates to a standard age structure to compute a hypothetical crude rate, enabling comparison free from age composition effects.

This question belongs to: Accountancy and Statistics Statistics