The sum of squares of deviations from the mean is: MCQ with Answer and Explanation

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The sum of squares of deviations from the mean is:

A. Zero

B. Minimum

C. Equal to the variance

D. Maximum

Answer: Option B

Solution (By JKSSB Mock Tests)

The sum of squared deviations from the mean is minimum; from any other point it would be larger.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

If the mean of a set of observations is 0, it implies:

A. There are no negative observations

B. The observations are all positive

C. All values are zero

D. The sum of all values is zero

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Correct Answer: Option D

Explanation:
Mean = Σx / n. If mean = 0, then Σx = 0.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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, but R is not correct explanation

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

C. A true, R false

D. A false, R true

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Correct Answer: Option A

Explanation:
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

Question #3

If two events are exhaustive, then:

A. P(A∩B) = 0

B. P(A) = P(B)

C. A and B are independent

D. P(A∪B) = 1

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Correct Answer: Option D

Explanation:
Exhaustive events cover the entire sample space.

This question belongs to: Accountancy and Statistics Statistics

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