Find the median of the data set: 4, 8, 12, 16, 20, 24.
Answer
14
The correct answer is 14 — Compute their average: (12+16) ÷ 2 = 14. This is the median.
Step-by-step solution
- Arrange the data in ascending order (already ordered). This is needed to locate the middle values.
- Count the number of observations: 6, which is even. For an even set, the median is the average of the two middle values.
- Identify the third and fourth values: 12 and 16. These are the middle values.
- Compute their average: (12+16) ÷ 2 = 14. This is the median.
Common mistake: Taking only the third value instead of averaging the two middle values
Concept tested: Median of an even set
Published · How this solution was prepared and checked
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