Which of the following averages cannot be calculated if a dataset contains a zero? MCQ with Answer and Explanation

Which of the following averages cannot be calculated if a dataset contains a zero?
A. Harmonic mean
B. Median
C. Arithmetic mean
D. Geometric mean
Answer: Option A
Solution (By JKSSB Mock Tests)
Harmonic mean involves reciprocals, so zero makes it undefined. Geometric mean with zero is zero, but it is defined; arithmetic and median unaffected.

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Practice More Statistics Questions

Question #1
The formula for simple aggregative price index is:
A. (Σp₁q₀ / Σp₀q₀) × 100
B. (Σp₁q₁ / Σp₀q₁) × 100
C. (Σp₁ / Σp₀) × 100
D. (Σp₀ / Σp₁) × 100

Correct Answer: Option C


Explanation:
Simple aggregative index sums current prices and divides by sum of base prices, multiplied by 100.

This question belongs to: Accountancy and Statistics Statistics
Question #2
If P(A)=0.6, P(B)=0.5, P(A∩B)=0.4, then P(A|B) is:
A. 0.4
B. 0.8
C. 0.67
D. 0.75

Correct Answer: Option B


Explanation:
P(A|B) = P(A∩B)/P(B) = 0.4/0.5 = 0.8.

This question belongs to: Accountancy and Statistics Statistics
Question #3
If index number for year 2020 (Base 2010) is 150, it means:
A. Prices are 1.5 times the 2020 prices
B. Prices have increased by 150%
C. Prices have increased by 50%
D. Prices have decreased by 50%

Correct Answer: Option C


Explanation:
An index of 150 implies current prices are 150% of the base year (which is 100), meaning a net increase of 50%.

This question belongs to: Accountancy and Statistics Statistics