Chapter 11 Data Analysis and Statistics - 11.1 Find Measures of Central Tendency and Dispersion - 11.1 Exercises - Skill Practice - Page 747: 21

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The mean, median, mode, range, and standard deviation of the data set when the outlier is included: $\bar x=\frac{60+66+66+68+71+72+75+78+80+152}{10}=78.8\\ Median =71.5\\Mode =66\\Range=92\\\sigma =\sqrt \frac{(60-78.8)^2+(66-78.8)^2+(66-78.8)^2+(68-78.8)^2+(71-78.8)^2+(72-78.8)^2+(75-78.8)^2+(78-78.8)^2+(80-78.8)^2+(152-78.8)^2}{10}=25.06$ The mean, median, mode, range, and standard deviation of the data set when the outlier is not included: $\bar x=\frac{60+66+66+68+71+72+75+78+80}{9}=70.67\\ Median =71\\Mode =66\\Range=20\\\sigma =\sqrt \frac{(60-70.67)^2+(66-70.67)^2+(66-70.67)^2+(68-70.67)^2+(71-70.67)^2+(72-70.67)^2+(75-70.67)^2+(78-70.67)^2+(80-70.67)^2}{9}=6.02$