(Solved): A fishing tournament was held last year at The Fishing Academy. The organizer recorded the weight o ...

A fishing tournament was held last year at The Fishing Academy. The organizer recorded the weight of each of the 70 fish caught. The smallest weight was $22\mathrm{lb}$, and the largest was $30\mathrm{lb}$. The table gives the mean, median, range, and interquartile range (IQR) of the data set. (a) Select the best description of center for the data set. We see that a "typical" fish weighed about $26\mathrm{lb}$ by looking at the mean and median. We see that a "typical" fish weighed about 2 to $8\mathrm{lb}$ by looking at the IQR and range. We see that a "typical" fish weighed about $70\mathrm{lb}$ by looking at the number of fish caught. (b) Select the best description of spread for the data set. We can tell by the number of fish caught that the difference between the largest and smallest fish (in $1\mathrm{b}$ ) is 70 . We can tell by the range that the difference between the largest and smallest fish (in $1\mathrm{b}$ ) is 8 . We can tell by the median that the difference between the largest and smallest fish (in $1\mathrm{b}$ ) is 26 . (c) Select the graph with the shape that best fits the summary values. Graph 1 (The data set is not symmetric.) Graph 2 (The data set is symmetric.)