The Five-Number Summary for the Weights (In Pounds) of Fish

question 627

Essay

The five-number summary for the weights (in pounds) of fish caught in a bass tournament
is: $$\begin{array} { | c | c | c | c | c | } \hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \\\hline 2.3 & 2.8 & 3.0 & 3.3 & 4.5 \\\hline\end{array}$$
a. Would you expect the mean weight of all fish caught to be higher or lower than the
median? Explain.
b. You caught 3 bass weighing 2.3 pounds, 3.9 pounds, and 4.2 pounds. Were any of your
fish outliers (according to the original statistics above)? Explain.

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