Statistics
RD Sharma
CBSE
Grade 10
Question:
The empirical relationship between the three measures of central tendency is:
(a) $\text{Mode} = 3 \text{ Median} - 2 \text{ Mean}$
(b) $\text{Mode} = 2 \text{ Median} - 3 \text{ Mean}$
(c) $\text{Median} = 3 \text{ Mode} - 2 \text{ Mean}$
(d) $\text{Mean} = 3 \text{ Median} - 2 \text{ Mode}$
Step-by-Step Solution
Key Concept: Standard empirical formula: $\text{Mode} = 3 \text{ Median} - 2 \text{ Mean}$.
$\text{Mode} = 3 \text{ Median} - 2 \text{ Mean}$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting Mode = 3 Median - 2 Mean: 1.0 Mark
Correct Answer: $\text{Mode} = 3 \text{ Median} - 2 \text{ Mean}$
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