The sum of deviations from the mean is always zero because: MCQ with Answer and Explanation

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The sum of deviations from the mean is always zero because:

A. All deviations are equal

B. Mean is the midpoint

C. Positive and negative deviations cancel out

D. Data are symmetric

Answer: Option C

Solution (By JKSSB Mock Tests)

Σ (x - x̄) = 0 is an algebraic property.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Consider the following statements: 1. Weighted mean considers the relative importance of different items. 2. Combined mean depends on group sizes and group means. 3. Arithmetic mean is always the best measure for skewed data. Which is/are correct?

A. 2 and 3 only

B. 1 and 2 only

C. 1 and 3 only

D. 1, 2 and 3

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Correct Answer: Option B

Explanation:
Statement 3 is false because median is preferred for skewed data. 1 and 2 are true.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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The Census of India is conducted every:

A. 15 years

B. 10 years

C. 12 years

D. 5 years

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Correct Answer: Option B

Explanation:
India conducts its decennial census once every ten years; the last was in 2011, the next in 2021 (postponed).

This question belongs to: Accountancy and Statistics Statistics

Question #3

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The denominator for Perinatal Mortality Rate includes:

A. Total births (live births + stillbirths)

B. Total live births only

C. Total population

D. Women of reproductive age

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Correct Answer: Option A

Explanation:
PNMR = (stillbirths + early neonatal deaths) / (live births + stillbirths) × 1000.

This question belongs to: Accountancy and Statistics Statistics

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