In a moderately skewed distribution, the empirical relationship is Mode ≈ 3×Median - 2×Mean. If Mean=60 and Median=58, Mode is approximately: MCQ with Answer and Explanation

In a moderately skewed distribution, the empirical relationship is Mode ≈ 3×Median - 2×Mean. If Mean=60 and Median=58, Mode is approximately:
A. 58
B. 52
C. 54
D. 56
Answer: Option C
Solution (By JKSSB Mock Tests)
Mode ≈ 3×58 - 2×60 = 174 - 120 = 54. This approximation, attributed to Pearson, holds for unimodal distributions with moderate skewness.

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Practice More Statistics Questions

Question #1
The addition theorem of probability for two events A and B states that P(A ∪ B) = P(A) + P(B) - P(A ∩ B). This formula accounts for:
A. The conditional probability of A given B
B. The independence of events
C. The double-counting of outcomes common to both A and B
D. The complement of event A

Correct Answer: Option C


Explanation:
Subtracting P(A ∩ B) corrects for the fact that outcomes in the intersection are counted twice when adding P(A) and P(B), ensuring accurate probability calculation for the union.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The factor reversal test requires that:
A. Index numbers are unitless
B. Price index × Quantity index = Value index
C. P₀₁ × P₁₀ = 1
D. P₀₁ × P₁₂ = P₀₂

Correct Answer: Option B


Explanation:
Factor reversal test checks if the product of a price index and its corresponding quantity index equals the value index (Σp₁q₁/Σp₀q₀), ensuring consistency between price and quantity measurements.

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Question #3
Maternal Mortality Ratio is expressed per 100,000 live births primarily to:
A. Simplify international comparisons
B. Avoid very small decimal values for rare events
C. Align with infant mortality rate units
D. Make the number easier to remember

Correct Answer: Option B


Explanation:
Maternal deaths are relatively rare; using a base of 100,000 live births yields manageable numbers (e.g., 100-500) instead of tiny decimals (0.001-0.005), enhancing readability and comparison.

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