Problem-Solving and Data AnalysisVery hardComparing spreads of two data sets
Problem-Solving and Data Analysis practice question
Data set P is 10, 10, 10, 10, 10. Data set Q is 2, 6, 10, 14, 18. Which statement about the two sets is true?
- A. They have the same mean, but Q has the larger standard deviation.Correct
- B. They have the same mean and the same standard deviation.
- C. P has the larger mean.
- D. Q has the larger mean.
Answer: A. They have the same mean, but Q has the larger standard deviation.
Both means are 10; P has no spread and Q spreads widely.
Why the other answers are wrong
- B. They have the same mean and the same standard deviation.
- P's standard deviation is 0 and Q's is not.
- C. P has the larger mean.
- Both means are 10.
- D. Q has the larger mean.
- Both means are 10.
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