CBSE · Class 11 · Mathematics · StatisticsIf each observation in a data set is increased by 5, then the variance of the new data set:
Step-by-Step Solution
Variance is independent of change of origin. When a constant is added to or subtracted from each observation, the variance remains unchanged. Thus, the variance of the new data set is the same as the original variance.
Detailed Options Breakdown
Option : Increases by 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: Increases by 25
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 2: Remains unchanged (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: Is multiplied by 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.