A report gave the accompanying data for the 50 U.S. states on the percentage of the population that was born in the state and is still living there. The data values have been arranged in order from largest to smallest. $\begin{array}{11111111111}75.9 & 71.4 & 69.6 & 69.0 & 68.6 & 67.5 & 66.7 & 66.3 & 66.1 & 66.0 & 66.0 65.2 & 64.7 & 64.3 & 63.8 & 63.7 & 62.8 & 62.6 & 61.9 & 61.9 & 61.5 & 61.1 \\ 59.2 & 59.0 & 58.7 & 57.3 & 57.1 & 55.9 & 55.9 & 55.5 & 55.3 & 54.9 & 54.7 54.5 & 54.0 & 54.0 & 53.8 & 53.5 & 52.8 & 52.5 & 50.2 & 50.2 & 48.9 & 48.7 W 48.6 & 47.1 & 43.4 & 40.4 & 35.6 & 28.4 & & & & & \end{array}$ (a) Find the values of the median, the lower quartile, and the upper quartile. (Enter your answers to one decimal place.) median = lower quartile = upper quartile = (b) The two smallest values in the data set are $35.6$ (Alaska) and $28.4$ (Wyoming). Are these two states outliers? Neither Alaska nor Wyoming are outliers. Wyoming is an outlier, but Alaska is not. Alaska and Wyoming are both outliers. Alaska is an outlier, but Wyoming is not. (c) Construct a boxplot for this data set. \begin{tabular}{ccccccc} \cline { 5 - 7 } 20 & 30 & 40 & 50 & 60 & 70 & 80 \end{tabular $\frac{*}{20) &{30} &{*} &{\longmapsto} &{\dots} &{\square) &{} \ {\hline 50} & {60} &{70) &{80} \end{array}$ SP.AS397