Below are shown a dot plot and summary statistics for a random sample of 34 shower heads. The measurements are maximum flow rates (in gallons per minute) at pressure of 80 pounds per square inch. Use the data to illustrate the difference between the two alternative definitions of "outlier," and make any other comments you feel are relevant. Note: TrimMean removes the smallest 5 percent and the largest 5 percent of the values.
$Below are shown a dot plot and summary statistics for a random sample of 34 shower heads. The measurements are maximum flow rates (in gallons per minute) at pressure of 80 pounds per square inch. Use the data to illustrate the difference between the two alternative definitions of outlier, and make any other comments you feel are relevant. Note: TrimMean removes the smallest 5 percent and the largest 5 percent of the values. \begin{array} { l l } \text { Sample size } & 34 \\ \text { Mean } & 2.882 \\ \text { Median } & 2.700 \\ \text { TrimMean } & 2.797 \\ \text { St Dev } & 0.750 \\ \text { Min } & 1.8 \\ \text { Max } & 5.4 \\ Q _ { 1 } & 2.500 \\ Q _ { 3 } & 2.900 \end{array}$

\begin{array} { l l } \text { Sample size } & 34 \\\text { Mean } & 2.882 \\\text { Median } & 2.700 \\\text { TrimMean } & 2.797 \\\text { St Dev } & 0.750 \\\text { Min } & 1.8 \\\text { Max } & 5.4 \\Q _ { 1 } & 2.500 \\Q _ { 3 } & 2.900\end{array}

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