If a constant is subtracted from all observations, the arithmetic mean: MCQ with Answer and Explanation

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If a constant is subtracted from all observations, the arithmetic mean:

A. Increases by the constant

B. Decreases by the same constant

C. Becomes zero

D. Remains the same

Answer: Option B

Solution (By JKSSB Mock Tests)

Mean changes by the same amount as the change in origin.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

Data on 'Religion of individuals' (Hindu, Muslim, Christian, etc.) is an example of:

A. Spatial classification

B. Qualitative classification

C. Chronological classification

D. Quantitative classification

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Correct Answer: Option B

Explanation:
Religion is an attribute, not a numerical value, so grouping by religion is a qualitative (descriptive) classification.

This question belongs to: Accountancy and Statistics Statistics

Question #2

If the arithmetic mean of 8, 12, x, 6, 9 is 8, then x is:

A. 4

B. 8

C. 5

D. 7

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Correct Answer: Option C

Explanation:
(8+12+x+6+9)/5 = 8 → 35 + x = 40 → x = 5.

This question belongs to: Accountancy and Statistics Statistics

Question #3

A life table radix l₀ of 100,000 means:

A. Life expectancy

B. Number of deaths

C. A hypothetical cohort of 100,000 births

D. The population size

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Correct Answer: Option C

Explanation:
l₀ is the initial number of individuals in the life table cohort.

This question belongs to: Accountancy and Statistics Statistics

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