Practice Quiz

AP Statistics Exam Prep

Category - AP Statistics

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What is the outlier in the following set: 11, 22, 33, 44, 55, 112, 23, 34 and 45?
  1. 55
  2. 11
  3. 112
  4. There is no outlier.
Explanation
Answer: C - The outlier is 112. An outlier is any number that is widely divergent from the rest of a data set, and it can be deduced logically, in many cases. It can be found arithmetically as well. An outlier is usually any number that is more than two standard deviations from the mean. The mean of the number set is about 42 (42.11). The standard deviation for the set is about 29.5. 42 + 29.5 + 29.5 = 101; therefore, any number greater than 101 is an outlier in this set. 101 < 112, therefore 112 is an outlier.
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