MP Board · Class 11 · Mathematics · StatisticsWhat is the variance of the first 10 natural numbers?
Step-by-Step Solution
The variance of the first n natural numbers is given by the formula (n^2 - 1) / 12. Substituting n = 10, Variance = (10^2 - 1) / 12 = (100 - 1) / 12 = 99 / 12 = 33 / 4 = 8.25.
Detailed Options Breakdown
Option : 8.25 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 3.87
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 2: 33.5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 3: 5.5
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.