The condition that the ultimate class frequencies must be non-negative ensures: MCQ with Answer and Explanation

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The condition that the ultimate class frequencies must be non-negative ensures:

A. Association

B. Positive association

C. Independence

D. Consistency of data

Answer: Option D

Solution (By JKSSB Mock Tests)

Consistency requires all ultimate frequencies to be ≥ 0, otherwise the data contain contradictions.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

Fisher's ideal index for price is given by:

A. √[(Σp₁q₀/Σp₀q₀) × (Σp₁q₁/Σp₀q₁)]

B. Σp₁q₀ / Σp₀q₀

C. (Σp₁q₀/Σp₀q₀ + Σp₁q₁/Σp₀q₁)/2

D. Σp₁q₁ / Σp₀q₁

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Correct Answer: Option A

Explanation:
Fisher's ideal price index is the geometric mean of the Laspeyres price index (Σp₁q₀/Σp₀q₀) and the Paasche price index (Σp₁q₁/Σp₀q₁), ensuring it satisfies key consistency tests.

This question belongs to: Accountancy and Statistics Statistics

Question #2

If P(A)=0.5, P(B)=0.4, and A and B are independent, P(A∩B) is:

A. 0.1

B. 0.2

C. 0.9

D. 0.5

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Correct Answer: Option B

Explanation:
For independent events, P(A∩B) = P(A) × P(B) = 0.5 × 0.4 = 0.2.

This question belongs to: Accountancy and Statistics Statistics

Question #3

If Yule's coefficient Q = 0 for attributes A and B, this indicates:

A. Perfect negative association

B. No association (independence)

C. Data inconsistency

D. Perfect positive association

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Correct Answer: Option B

Explanation:
Yule's Q = 0 when (AB)(αβ) = (Aβ)(αB), which is the condition for statistical independence between attributes A and B in a 2×2 table.

This question belongs to: Accountancy and Statistics Statistics

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