MP Board · Class 9 · Mathematics · StatisticsIf the mean of observations x, x+2, x+4, x+6, and x+8 is 11, then the value of x is:
Step-by-Step Solution
Mean = Sum of observations / Number of observations. Sum = x + (x+2) + (x+4) + (x+6) + (x+8) = 5x + 20. Mean = (5x + 20) / 5 = x + 4. Given mean = 11, so x + 4 = 11 => x = 7.
Detailed Options Breakdown
Option : 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: 7 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 9
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 3: 11
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.