Gross Reproduction Rate (GRR) differs from TFR by: MCQ with Answer and Explanation
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Question #1
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The midpoint of a class interval 20-30 (exclusive) is:
Correct Answer: Option A
Explanation:
Class midpoint = (Lower limit + Upper limit) / 2 = (20 + 30) / 2 = 25. This represents the central value of the class for calculations like mean in grouped data.
Class midpoint = (Lower limit + Upper limit) / 2 = (20 + 30) / 2 = 25. This represents the central value of the class for calculations like mean in grouped data.
This question belongs to:
Accountancy and Statistics
Statistics
Question #2
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A set of 9 numbers has mean 12. If a number 15 is removed, the new mean is:
Correct Answer: Option C
Explanation:
Sum initially = 9 × 12 = 108. After removing 15, sum = 93, n = 8. New mean = 93/8 = 11.625.
Sum initially = 9 × 12 = 108. After removing 15, sum = 93, n = 8. New mean = 93/8 = 11.625.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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In a factory, machines A, B, and C produce 30%, 45%, and 25% of total output, with defect rates of 2%, 3%, and 4% respectively. If a randomly selected item is defective, the probability it was produced by machine B is approximately:
Correct Answer: Option D
Explanation:
Using Bayes' theorem: P(B|Defective) = [P(Defective|B) × P(B)] / [Σ P(Defective|machine) × P(machine)] = (0.03×0.45) / (0.02×0.30 + 0.03×0.45 + 0.04×0.25) = 0.0135 / 0.0315 ≈ 0.4286 ≈ 0.43.
Using Bayes' theorem: P(B|Defective) = [P(Defective|B) × P(B)] / [Σ P(Defective|machine) × P(machine)] = (0.03×0.45) / (0.02×0.30 + 0.03×0.45 + 0.04×0.25) = 0.0135 / 0.0315 ≈ 0.4286 ≈ 0.43.
This question belongs to:
Accountancy and Statistics
Statistics
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