Allied & ICAR Exam Bank • ALLIED_2731
MCQ • 1 Mark
Section 1: Engineering Mathematics
Probability and Statistics
Subtopic: Mean, median, mode and standard deviation
Question Statement:
In a moderately skewed frequency distribution, the empirical relationship between mean, median, and mode is:
Options:
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(A) $\text{Mode} = 3\text{Median} - 2\text{Mean}$
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(B) $\text{Mean} = 3\text{Median} - 2\text{Mode}$
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(C) $\text{Median} = 3\text{Mode} - 2\text{Mean}$
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(D) $\text{Mode} = 2\text{Median} - 3\text{Mean}$
Step-by-Step Solution & Explanation
Pearson's empirical formula: $\text{Mean} - \text{Mode} \approx 3(\text{Mean} - \text{Median}) \implies \text{Mode} = 3\text{Median} - 2\text{Mean}$.
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