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

Usual and Unusual Values (Normal Distribution) (Section 11-3 Alg 2). Outlier is a value that is much greater than or much less than most 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.

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

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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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