Which average is strictly impossible to calculate if any of the observations in the dataset is exactly zero? MCQ with Answer and Explanation

Which average is strictly impossible to calculate if any of the observations in the dataset is exactly zero?
A. Geometric Mean
B. Arithmetic Mean
C. Harmonic Mean
D. Both Geometric and Harmonic Mean
Answer: Option D
Solution (By JKSSB Mock Tests)
Geometric mean becomes zero if any value is zero, and Harmonic mean involves division by zero, making both invalid.

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Total Fertility Rate (TFR) is obtained by summing age-specific fertility rates and multiplying by:
A. 5 if 5-year age groups are used
B. 10
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Correct Answer: Option A


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Because each ASFR is per 1000 women for a 5-year span, the sum is multiplied by 5 to give children per woman.

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The geometric mean of 4, 9, and 16 is:
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Correct Answer: Option C


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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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Assertion (A): Primary data collection is generally more time-consuming than secondary data collection. Reason (R): Primary data requires designing instruments, sampling, and fieldwork, whereas secondary data is readily available.
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