Two dice are rolled. The probability of getting a doublet (same number on both) is: MCQ with Answer and Explanation
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Question #1
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Assertion (A): For a moderately skewed distribution, mean – mode ≈ 3(mean – median). Reason (R): In any skewed distribution, the median always lies between the mean and mode. Choose the correct option:
Correct Answer: Option C
Explanation:
The empirical relationship (A) is true for moderate skewness. In skewed distributions, median lies between mean and mode, but this fact does not directly explain the formula; it's an observed pattern.
The empirical relationship (A) is true for moderate skewness. In skewed distributions, median lies between mean and mode, but this fact does not directly explain the formula; it's an observed pattern.
This question belongs to:
Accountancy and Statistics
Statistics
Question #2
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The weighted arithmetic mean formula is:
Correct Answer: Option B
Explanation:
Weighted mean = Σ(w_i × x_i) / Σ w_i.
Weighted mean = Σ(w_i × x_i) / Σ w_i.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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The combined mean of two groups is 55, with n₁=40, mean₁=50. If n₂=60, mean₂ is:
Correct Answer: Option A
Explanation:
55 = (40×50 + 60×x) / 100 → 2000 + 60x = 5500 → 60x = 3500 → x = 58.33.
55 = (40×50 + 60×x) / 100 → 2000 + 60x = 5500 → 60x = 3500 → x = 58.33.
This question belongs to:
Accountancy and Statistics
Statistics
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