NCERT · Class 11 · Mathematics · StatisticsWhat is the mean deviation about the mean for the data: 3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21, 11?
Step-by-Step Solution
First, find the mean of the data. Sum = 126, N = 12, Mean = 126/12 = 10.5. The absolute deviations from 10.5 are calculated and averaged to get the mean deviation, which evaluates to 5.25.
Detailed Options Breakdown
Option : 4.5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: 5.25 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 6.12
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 3: 3.75
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.