Find the median of the following ungrouped examination score distribution: 14, 8, 22, 19, 11, 17, 25, 9.
Answer and explanation
Correct answer: B. 15.5
- Step 1: Arrange scores in ascending order: 8, 9, 11, 14, 17, 19, 22, 25. Step 2. With n = 8 (even), median is the average of the 4th and 5th values. Step 3. 4th value = 14, 5th value = 17. Step 4. Median = (14 + 17) / 2 = 31 / 2 = 15.5. Answer: 15.5. Why not the others: 15.0 is an estimate; 14.0 is the 4th value alone; 16.5 is an arithmetic error.
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