Assertion (A): Fisher's ideal index satisfies both time reversal and factor reversal tests. Reason (R): Fisher's index is the geometric mean of Laspeyres and Paasche indices. Choose the correct option: MCQ with Answer and Explanation

Assertion (A): Fisher's ideal index satisfies both time reversal and factor reversal tests. Reason (R): Fisher's index is the geometric mean of Laspeyres and Paasche indices. Choose the correct option:
A. A is false, R is true
B. A is true, R is false
C. Both A and R are true, and R is the correct explanation of A
D. Both A and R are true, but R is not the correct explanation of A
Answer: Option C
Solution (By JKSSB Mock Tests)
Fisher's index indeed satisfies both tests, and the formula (geometric mean) is the reason it meets these tests.

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Practice More Statistics Questions

Question #1
When constructing a frequency polygon, the frequencies are plotted against:
A. Upper class limits
B. Lower class limits
C. Class marks (midpoints)
D. Cumulative frequencies

Correct Answer: Option C


Explanation:
A frequency polygon connects the points formed by the class frequencies plotted at the exact midpoints of the class intervals.

This question belongs to: Accountancy and Statistics Statistics
Question #2
If the arithmetic mean of 10 numbers is 40 and the mean of the same numbers after subtracting a constant from each is 25, the constant subtracted was:
A. 10
B. 25
C. 20
D. 15

Correct Answer: Option D


Explanation:
New mean = old mean - constant ⇒ 25 = 40 - k ⇒ k = 15.

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Question #3
Crude Death Rate of 8 per 1,000 implies that in a population of 1 million, annual deaths are approximately:
A. 800
B. 80,000
C. 800,000
D. 8,000

Correct Answer: Option D


Explanation:
CDR = (Deaths / Population) × 1,000 → Deaths = (CDR × Population) / 1,000 = (8 × 1,000,000) / 1,000 = 8,000. Simple application of the rate formula.

This question belongs to: Accountancy and Statistics Statistics