The geometric mean of 4, 9, and 16 is: MCQ with Answer and Explanation

The geometric mean of 4, 9, and 16 is:
A. 8
B. 10
C. 9
D. 12
Answer: Option A
Solution (By JKSSB Mock Tests)
Geometric mean = (4 × 9 × 16)^(1/3) = (576)^(1/3) = 8. It is the nth root of the product of n observations, useful for averaging ratios or growth rates.

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Practice More Statistics Questions

Question #1
If a student’s speed is 60 km/h for half the distance and 40 km/h for the other half, the average speed is:
A. 52 km/h
B. 50 km/h
C. 48 km/h
D. 45 km/h

Correct Answer: Option C


Explanation:
Harmonic mean of 60 and 40 = 2/(1/60 + 1/40) = 48 km/h.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Fisher's ideal index for quantity is the geometric mean of:
A. Laspeyres and Paasche quantity indices
B. Laspeyres and Paasche price indices
C. Fixed base and chain base indices
D. Simple and weighted indices

Correct Answer: Option A


Explanation:
Fisher's ideal quantity index = √(Laspeyres quantity index × Paasche quantity index), mirroring the price index formulation to satisfy consistency tests for quantity measurement.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Gross Reproduction Rate (GRR) is calculated as TFR multiplied by:
A. Proportion of female births
B. Proportion of male births
C. Life expectancy at birth
D. Inverse of sex ratio

Correct Answer: Option A


Explanation:
GRR = TFR × (female births / total births), representing the average number of daughters a woman would have.

This question belongs to: Accountancy and Statistics Statistics