Answer
See below
Work Step by Step
The mean, median, mode, range, and standard deviation of the data set when the outlier is included:
$\bar x=\frac{67.6+68.2+68.9+71.2+72.9+74.5+77.9+77.9+80.8+81.3+82.2+82.6}{12}=75.5\\ Median =\frac{74.5+77.9}{2}=76.2\\Mode = 77.9\\Range=82.6-67.6=15\\\sigma =5.43$