MCQMathematics

MP Board · Class 11 · Mathematics · StatisticsFor the first n natural numbers, the mean deviation about the mean when n is even is given by:

Step-by-Step Solution

For the first n natural numbers where n is even, the mean deviation about the mean is calculated using standard formulas derived in the textbook, which equals n^2 / (4(n-1)) or simplified as n/4 for large n, precisely n^2 / (4n - 4) depending on the exact derivation, specifically n/4 when n is large, but exactly n^2 / (4n - 4) is the standard formula.

Detailed Options Breakdown
Option : n / 4

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.

Option 1: n^2 / (4n - 4) (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 2: (n^2 - 1) / 4n

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.

Option 3: n / 2

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.
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