A property of the arithmetic mean is that the sum of squared deviations from the mean is: MCQ with Answer and Explanation

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A property of the arithmetic mean is that the sum of squared deviations from the mean is:

A. Zero

B. Minimum

C. Equal to variance

D. Maximum

Answer: Option B

Solution (By JKSSB Mock Tests)

The arithmetic mean minimizes the sum of squared deviations (Σ(x - x̄)²), a key property underlying least squares estimation in regression and ANOVA.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

A random experiment is defined as:

A. An experiment that can be repeated under identical conditions with uncertain outcomes

B. An experiment conducted only once

C. An experiment where all outcomes are equally likely

D. An experiment with a predetermined outcome

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Correct Answer: Option A

Explanation:
A random experiment has well-defined possible outcomes, can be repeated under similar conditions, and the exact outcome cannot be predicted with certainty before performing the experiment.

This question belongs to: Accountancy and Statistics Statistics

Question #2

The Age Specific Fertility Rate (ASFR) is usually computed for women in the age bracket of:

A. 15-49 years

B. All ages

C. 0-14 years

D. 50-65 years

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Correct Answer: Option A

Explanation:
Demographers universally consider 15 to 49 years as the standard female reproductive age span.

This question belongs to: Accountancy and Statistics Statistics

Question #3

In a life table, the radix (l₀) is usually:

A. 1,000,000

B. 1000

C. 100,000

D. 10,000

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Correct Answer: Option C

Explanation:
Typically, l₀ = 100,000, representing the hypothetical birth cohort.

This question belongs to: Accountancy and Statistics Statistics

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