MP Board · Class 10 · Mathematics · StatisticsThe arithmetic mean of first \(n\) natural numbers is:
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Step-by-Step Solution
The sum of first (n) natural numbers is (\frac{n(n+1)}{2}). The arithmetic mean is (\frac{\frac{n(n+1)}{2}}{n} = \frac{n+1}{2}). Therefore, option B is correct.
Detailed Options Breakdown
Option : \(\frac{n}{2}\)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: \(\frac{n+1}{2}\) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \(\frac{n-1}{2}\)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 3: \(\frac{n(n+1)}{2}\)
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.