Problem-Solving and Data AnalysisVery hardComparing spread with equal centres
Problem-Solving and Data Analysis practice question
Data set A is 10, 12, 14, 16, 18. Data set B is 2, 12, 14, 16, 26. Which of the following statements is true?
- A. The two sets have the same mean and the same median, but set B has the larger standard deviation.Correct
- B. The two sets have the same standard deviation.
- C. Set A has the larger mean.
- D. The two sets have different medians.
Answer: A. The two sets have the same mean and the same median, but set B has the larger standard deviation.
Both have mean 14 and median 14; B's values lie further from 14.
Why the other answers are wrong
- B. The two sets have the same standard deviation.
- B's values are more spread out.
- C. Set A has the larger mean.
- Both means are 14.
- D. The two sets have different medians.
- Both medians are 14.
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