Problem-Solving and Data AnalysisHardEffect of removing an outlier on the mean
Problem-Solving and Data Analysis practice question
The data set 6, 8, 10, 12, 44 has one outlier, 44. If the outlier is removed, by how much does the mean of the data set decrease?
Answer: 7
The mean of all five is 80/5 = 16; without 44 it is 36/4 = 9; the decrease is 7.
Common wrong answers
- If you answered 9
- 9 is the new mean.
- If you answered 16
- 16 is the original mean.
- If you answered 44
- 44 is the outlier itself.
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