Chapter 11 Data Analysis and Statistics - 11.1 Find Measures of Central Tendency and Dispersion - 11.1 Exercises - Skill Practice - Page 747: 17

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The mean, median, mode, range, and standard deviation of the data set when the outlier is included: $\bar x=\frac{2+2+3+3+4+4+4+68+6}{9}=10.67\\ Median = 4\\Mode =4\\Range=68-2=66\\\sigma =\sqrt \frac{(2-10.67)^2+(2-10.67)^2+(3-10.67)^2+(3-10.67)^2+(4-10.67)^2+(4-10.67)^2+(4-10.67)^2(6-10.67)^2+(68-10.67)^2}{9}=20.3$ The mean, median, mode, range, and standard deviation of the data set when the outlier is excluded: $\bar x=\frac{2+2+3+3+4+4+4+6}{8}=3.5\\ Median = 3.5\\Mode =4\\Range=6-2=4\\\sigma =\sqrt \frac{(2-3.5)^2+(2-3.5)^2+(3-3.5)^2+(3-3.5)^2+(4-3.5)^2+(4-3.5)^2+(4-3.5)^2+(6-3.5)^2}{8}=1.22$