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. Equal to variance

B. Minimum

C. Maximum

D. Zero

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

The primary advantage of secondary data is:

A. Unique

B. High accuracy

C. Tailored to research need

D. Saves time and money

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Correct Answer: Option D

Explanation:
Secondary data is already available, reducing time and cost of collection.

This question belongs to: Accountancy and Statistics Statistics

Question #2

The arithmetic mean of the numbers 12, 18, 24, and 30 is:

A. 22

B. 21

C. 24

D. 20

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Correct Answer: Option B

Explanation:
Arithmetic mean = (12 + 18 + 24 + 30) / 4 = 84 / 4 = 21. This is the sum of observations divided by the number of observations.

This question belongs to: Accountancy and Statistics Statistics

Question #3

According to Sturges' rule, the approximate number of classes for n = 50 is: (Use k = 1 + 3.322 log₁₀ n)

A. 5

B. 8

C. 6

D. 7

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Correct Answer: Option D

Explanation:
log₁₀50 ≈ 1.699; 3.322 × 1.699 ≈ 5.64; 1 + 5.64 = 6.64, which rounds to 7 classes.

This question belongs to: Accountancy and Statistics Statistics

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