CBSE · Class 10 · Mathematics · StatisticsWhat is the empirical relationship between mean, median, and mode?
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Total Attempts: 1
Accuracy Rate: 100%
Step-by-Step Solution
The empirical relationship between mean, median, and mode is given by the formula: (3 \text{ Median} = \text{Mode} + 2 \text{ Mean}), which can also be written as (\text{Mode} = 3 \text{ Median} - 2 \text{ Mean}). Therefore, option C is correct.
Detailed Options Breakdown
Option : Mode = 2 Median - 3 Mean
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: Mode = 3 Mean - 2 Median
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 2: Mode = 3 Median - 2 Mean (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: Mode = 2 Mean + 3 Median
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
💡 Study Guide: This question tests core syllabus concepts from Statistics. For formulas, key summaries, and mock exam reference guides, read the full Statistics Revision Notes.