Boxplots describing the highway and city gas mileages (in miles per gallon) of all 2014 cars sold in the United States are shown in Fig. 114.

a. Which has the larger median, the highway distribution or the city distribution? What does that mean in this situation?
b. Which has the larger Q3, the highway distribution or the city distribution? What does that mean in this situation?
c. The Honda Accord Plug-in Hybrid has the best city gas mileage. Estimate its gas mileage. On the basis of your responses to parts (a) and (b), explain why it is surprising that the car€™s city gas mileage is better than every car€™s highway gas mileage including its own (105 miles per gallon).
d. Even though the IQRs are approximately equal for the two distributions, the standard deviation of the city distribution (11.7 miles per gallon) is larger than the standard deviation of the highway distribution (9.9 miles per gallon). How is this possible?

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Gas Mileages Highway 0 20 40 60 80 100 120 140 Miles per gallon