Chapter 11 Data Analysis and Statistics - 11.1 Find Measures of Central Tendency and Dispersion - 11.1 Exercises - Skill Practice - Page 747: 19

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The mean, median, mode, range, and standard deviation of the data set when the outlier is included: $\bar x=\frac{0.7+10.9+11.6+11.6+12.4+12.4}{6}=10\\ Median =11.6\\Mode =11.6\\Range=12.8-0.7=12.1\\\sigma =\sqrt \frac{(0.7-10)^2+(10.9-10)^2+(11.6-10)^2+(11.6-10)^2+(12.4-10)^2+(12.4-10)^2}{6}=4.2$ The mean, median, mode, range, and standard deviation of the data set when the outlier is not included: $\bar x=\frac{10.9+11.6+11.6+12.4+12.4}{5}=11.86\\ Median =11.6\\Mode =11.6\\Range=12.8-10.9=1.9\\\sigma =\sqrt \frac{(10.9-11.86)^2+(11.6-11.86)^2+(11.6-11.86)^2+(12.4-11.86)^2+(12.4-11.86)^2}{5}=0.67$