The harmonic mean gives more weight to: MCQ with Answer and Explanation

Question
The harmonic mean gives more weight to:
A. Larger values
B. All values equally
C. Middle values
D. Smaller values
Answer: Option D
Solution (By JKSSB Mock Tests)
HM is the reciprocal of the arithmetic mean of reciprocals, so smaller numbers have larger reciprocals and thus greater influence.
This question belongs to: Accountancy and Statistics Statistics
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Practice More Statistics Questions

Question #1
Life expectancy at age 1 is generally:
A. Higher than life expectancy at birth
B. Zero
C. Equal to life expectancy at birth
D. Lower than life expectancy at birth
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Correct Answer: Option A

Explanation:
Due to high infant mortality, survivors to age 1 have a higher remaining life expectancy than newborns.
This question belongs to: Accountancy and Statistics Statistics
Question #2
If P(A|B) = 0.4 and P(B) = 0.5, P(A∩B) is:
A. 0.8
B. 0.2
C. 0.4
D. 0.9
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Correct Answer: Option B

Explanation:
P(A∩B) = P(A|B) P(B) = 0.4 × 0.5 = 0.2.
This question belongs to: Accountancy and Statistics Statistics
Question #3
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, but R is not the correct explanation of A
D. Both A and R are true, and R is the correct explanation of A
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Correct Answer: Option D

Explanation:
Fisher's index indeed satisfies both tests, and the formula (geometric mean) is the reason it meets these tests.
This question belongs to: Accountancy and Statistics Statistics
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