The circular test is satisfied if an index allows comparison of period 2 with period 0 via period 1, i.e., P₀₁ × P₁₂ = P₀₂. Which index commonly fails this test? MCQ with Answer and Explanation

The circular test is satisfied if an index allows comparison of period 2 with period 0 via period 1, i.e., P₀₁ × P₁₂ = P₀₂. Which index commonly fails this test?
A. Laspeyres index
B. Simple geometric mean index
C. Chain base index with fixed weights
D. Fisher's ideal index
Answer: Option A
Solution (By JKSSB Mock Tests)
Laspeyres index uses fixed base-period weights, so P₀₁ × P₁₂ ≠ P₀₂ in general due to weight rigidity, failing the circular test; Fisher's index satisfies it under certain conditions.

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Practice More Statistics Questions

Question #1
Which of the following indices does NOT satisfy the time reversal test?
A. Both Laspeyres and Paasche
B. Paasche index
C. Laspeyres index
D. Fisher index

Correct Answer: Option A


Explanation:
Laspeyres and Paasche indices fail the time reversal test; Fisher's index satisfies it.

This question belongs to: Accountancy and Statistics Statistics
Question #2
In a frequency distribution, if the class marks are 5, 15, 25, 35, the class width is:
A. 15
B. 10
C. 5
D. 20

Correct Answer: Option B


Explanation:
Difference between successive class marks = 15-5 = 10, so width = 10.

This question belongs to: Accountancy and Statistics Statistics
Question #3
If Net Reproduction Rate (NRR) is less than 1, the population will eventually:
A. Increase
B. Become zero
C. Remain constant
D. Decrease

Correct Answer: Option D


Explanation:
NRR < 1 indicates each generation is not replacing itself, leading to decline.

This question belongs to: Accountancy and Statistics Statistics