NCERT · Class 11 · Mathematics · StatisticsThe sum of the squares of the deviations of the observations from their mean is always:
Step-by-Step Solution
A fundamental property in statistics is that the sum of the squares of the deviations of a set of observations is minimum when taken from their arithmetic mean, and it is always a minimum compared to any other point, hence it is unique and non-negative, specifically being the least for the mean.
Detailed Options Breakdown
Option : Maximum
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: Zero
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 2: Minimum (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: Negative
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.