The algebraic sum of the deviations of a set of values from their arithmetic mean is always: MCQ with Answer and Explanation

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The algebraic sum of the deviations of a set of values from their arithmetic mean is always:

A. Negative

B. Positive

C. Minimum

D. Zero

Answer: Option D

Solution (By JKSSB Mock Tests)

A fundamental property of the arithmetic mean is that the sum of deviations of items from the mean is identically zero.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

Neonatal mortality rate is expressed per:

A. 1000 total births

B. 1000 women

C. 1000 live births

D. 1000 population

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Correct Answer: Option C

Explanation:
NMR = (Neonatal deaths / Live births) × 1000.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Laspeyres price index is 115 and Paasche price index is 110. The Bowley index (arithmetic mean of L and P) is approximately:

A. 113.5

B. 112.0

C. 112.5

D. 110.0

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Correct Answer: Option C

Explanation:
Bowley index = (L+P)/2 = (115+110)/2 = 112.5. (Note: some books call Marshall-Edgeworth-Bowley index, but this is simple arithmetic average).

This question belongs to: Accountancy and Statistics Statistics

Question #3

Data collected from a published report of the World Bank is called:

A. Secondary data

B. Raw data

C. Primary data

D. Meta data

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Correct Answer: Option A

Explanation:
Published reports contain data already gathered by someone else, hence secondary data.

This question belongs to: Accountancy and Statistics Statistics

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