MP Board · Class 9 · Mathematics · StatisticsIf the median of 5 observations x, x/2, x/3, x/4, and x/5 is 10 (where x > 0), then the value of x is:
Step-by-Step Solution
First, arrange terms in ascending order for x > 0: x/5, x/4, x/3, x/2, x. Total observations n = 5 (odd). Median is the (5+1)/2 = 3rd term. The 3rd term is x/3. Given median = 10, so x/3 = 10 => x = 30.
Detailed Options Breakdown
Option : 10
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 1: 20
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Statistics.
Option 2: 30 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 50
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.