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Understanding Outliers in Data Analysis

Learn to identify outliers in data sets and distinguish between usual and unusual values in statistics. Discover how outliers can impact mean and standard deviation calculations, affecting the interpretation of data.

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Understanding Outliers in Data Analysis

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  1. Usual and Unusual Values (Normal Distribution)(Section 11-3 Alg 2)

  2. Outlier is a value that is much greater thanor much less thanmost of the other values in a data set. An outlier can significantly affect the mean and standard deviation making our picture of the data misleading. . If a value is more than 2 standard deviations above or below the mean, it is considered “unusual”. • Therefore the minimum “usual” value is mean – 2 standard deviations or • and the maximum usual value is mean + 2 standard deviations or

  3. Example 1: Given the data set and values below, verify that 65 is an outlier. Data set: 65, 173, 181, 184, 188, 190, 192, 199 Mean: 171.5 Standard Deviation: 40.899

  4. Full data set without 65 Mean: 1372//8 = 171.5 Mean: 1307/7 = 186.71 Median: (184+188)/2 = 186 Median: 188 Mode: none Mode: None Standard deviation: Standard deviation:

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  12. HW #___ Practice 11-3

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