The combined mean of two groups of sizes n₁ and n₂ with means x̄₁ and x̄₂ is given by: MCQ with Answer and Explanation

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The combined mean of two groups of sizes n₁ and n₂ with means x̄₁ and x̄₂ is given by:

A. (x̄₁ + x̄₂)/2

B. (n₁x̄₁ + n₂x̄₂)/(n₁ + n₂)

C. (x̄₁/x̄₂) × (n₁ + n₂)

D. (n₁x̄₁ + n₂x̄₂)/2

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined mean is a weighted average.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

For two attributes A and B, independence (no association) implies:

A. (AB) = (A) + (B)

B. (AB)/N = (A)/N × (B)/N

C. (AB) = (A)(B)/N²

D. (AB) = 0

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Correct Answer: Option B

Explanation:
Independence means the proportion of items with both attributes equals the product of the individual proportions.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Which of the following is true for an ideal index number?

A. It should use only base period weights.

B. It must satisfy time reversal and factor reversal tests.

C. It should be easy to calculate.

D. It must be a simple average of relatives.

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Correct Answer: Option B

Explanation:
Fisher's ideal index satisfies both tests; these are desirable properties.

This question belongs to: Accountancy and Statistics Statistics

Question #3

CPI measures changes in the prices of goods and services purchased by:

A. Consumers

B. Wholesalers

C. Exporters

D. Manufacturers

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Correct Answer: Option A

Explanation:
CPI reflects the retail prices paid by households.

This question belongs to: Accountancy and Statistics Statistics

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