MP Board · Class 11 · Mathematics · StatisticsIf the variance of a data set is 16, what is its standard deviation?
Step-by-Step Solution
The standard deviation is defined as the positive square root of the variance. Therefore, Standard Deviation = sqrt(Variance) = sqrt(16) = 4.
Detailed Options Breakdown
Option : 8
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: 4 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 256
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 3: -4
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.