Chapter 11 Data Analysis and Statistics - 11.1 Find Measures of Central Tendency and Dispersion - 11.1 Exercises - Skill Practice - Page 747: 18

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The mean, median, mode, range, and standard deviation of the data set when the outlier is included: $\bar x=\frac{0+72+75+75+83+83+83+91}{8}=70.25\\ Median = 79\\Mode =83\\Range=91-0=91\\\sigma =\sqrt \frac{(0-70.25)^2+(72-70.25)^2+(75-70.25)^2+(75-70.25)^2+(83-70.25)^2+(83-70.25)^2+(83-70.25)^2+(91-70.25)^2}{8}=27.16$ The mean, median, mode, range, and standard deviation of the data set when the outlier is included: $\bar x=\frac{72+75+75+83+83+83+91}{7}=80.29\\ Median = 83\\Mode =83\\Range=91-72=19\\\sigma =\sqrt \frac{(72-70.25)^2+(75-70.25)^2+(75-70.25)^2+(83-70.25)^2+(83-70.25)^2+(83-70.25)^2+(91-70.25)^2}{7}=6.11$