Fisher's ideal index for quantity is the geometric mean of: MCQ with Answer and Explanation

Fisher's ideal index for quantity is the geometric mean of:
A. Simple and weighted indices
B. Fixed base and chain base indices
C. Laspeyres and Paasche price indices
D. Laspeyres and Paasche quantity indices
Answer: Option D
Solution (By JKSSB Mock Tests)
Fisher's ideal quantity index = √(Laspeyres quantity index × Paasche quantity index), mirroring the price index formulation to satisfy consistency tests for quantity measurement.

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Practice More Statistics Questions

Question #1
Yule's coefficient of association (Q) ranges between:
A. 0 and 100
B. -∞ and +∞
C. 0 and 1
D. -1 and +1

Correct Answer: Option D


Explanation:
Q = (ad - bc) / (ad + bc) lies between -1 and +1.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The factor reversal test requires that the product of a price index and a quantity index should equal:
A. The Fisher index
B. 100
C. The value ratio (Σp₁q₁/Σp₀q₀)
D. 1

Correct Answer: Option C


Explanation:
It ensures that the product of price and quantity indices equals the change in total value.

This question belongs to: Accountancy and Statistics Statistics
Question #3
If a group of 50 students has an average weight of 55 kg and another group of 30 students has an average weight of 45 kg, the combined average is:
A. 51.25 kg
B. 50 kg
C. 52 kg
D. 53.75 kg

Correct Answer: Option A


Explanation:
Sum = 50×55 + 30×45 = 2750 + 1350 = 4100, total = 80, mean = 4100/80 = 51.25.

This question belongs to: Accountancy and Statistics Statistics