The weighted harmonic mean is appropriate for averaging: MCQ with Answer and Explanation

The weighted harmonic mean is appropriate for averaging:
A. Prices when quantities purchased are the weights
B. Speeds when distances traveled at each speed are equal
C. Ratios where the denominators are the weights
D. Test scores with equal importance
Answer: Option C
Solution (By JKSSB Mock Tests)
Weighted harmonic mean = Σw / Σ(w/x), ideal for averaging rates or ratios (e.g., price per unit) when the weights correspond to the denominators (e.g., quantities), ensuring correct aggregation.

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Practice More Statistics Questions

Question #1
If a constant is added to all observations, which of the following measures changes?
A. Standard deviation
B. Variance
C. Arithmetic mean
D. Range

Correct Answer: Option C


Explanation:
Adding a constant changes the mean but not measures of dispersion.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The harmonic mean of 1 and 1 is:
A. Undefined
B. 2
C. 0.5
D. 1

Correct Answer: Option D


Explanation:
HM = 2 / (1+1) = 1.

This question belongs to: Accountancy and Statistics Statistics
Question #3
According to the Census of India 2011, the child sex ratio (0-6 years) was:
A. 900
B. 940
C. 919
D. 943

Correct Answer: Option C


Explanation:
Child sex ratio (0-6) was 919 females per 1000 males, lower than overall sex ratio.

This question belongs to: Accountancy and Statistics Statistics