The trimmed mean can also be a useful measure of center. It is found by trimming off a certain percentage of the smallest and largest observations and then calculating the mean. For instance, we can trim \(5 \%\) of the smallest observations and \(5 \%\) of the largest observations (rounded to the nearest integer), and then calculate the mean of the remaining values. The trimmed mean can be a good measure of center, a variable that may have pronounced outliers. For the data given in Table 3.6, which represents the number of hours that a sample of ten homeowners spend working on their lawn each week, find the trimmed mean by trimming off \(10 \%\) of the largest and smallest observations.

Table 3.6

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63 7 8 9 10 13 15 17 28 30 Number of Hours That a Sample of Ten Homeowners Spend Working on Their Lawn Each Week Position number Data 12 2 24 3 4 4 5 7 N 59