QuestionOur class recorded the temperature at noon each day for 31 school days in the spring. The lowest temperature (in ${ }^{\circ} \mathrm{F}$ ) was 72 , and the highest was 80 . The table gives the mean, median, range, and interquartile range (IQR) of the data set. \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Summary values } \\ \hline Mean & Median & Range & IQR \\ \hline 76 & 76 & 8 & 2 \\ \hline \end{tabular} (a) Select the best description of center for the data set. (b) Select the best description of spread for the data set. Looking at the range, we see that a "typical" day had a temperature of about $8^{\circ} \mathrm{F}$. The difference between the largest and smallest temperature (in ${ }^{\circ} \mathrm{F}$ ) is 8 . (This is the range.) Looking at the mean and median, we see that a "typical" day had a temperature of about $76^{\circ} \mathrm{F}$. Looking at the IQR, we see that a "typical" day had a temperature of about $2^{\circ} \mathrm{F}$. The difference between the largest and smallest temperature (in ${ }^{\circ} \mathrm{F}$ ) is 31 . (This is the number of days the temperature was recorded.) The difference between the largest and smallest temperature (in ${ }^{\circ} \mathrm{F}$ ) is 76 . (This is the mean.)