Question

In automobile mileage and gasoline-consumption testing, 13 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance City Highway 19.320.518.2 18.5 19.1 17.317.1 18.518.921.0 19.3 18.4 18.6 Use the mean, median, and mode to make a statement about the difference in performance for city and highway driving. Compute the mean for the miles-per-gallon performance for city and highway driving. (Round your answers to two decimal places.) city highway Is the mean mileage better on the highway than in the city miles per ga llon miles per gallon Yes No Compute the median for the miles-per-gallon performance for city and highway driving. city highway miles per gallon miles per g allon Is the median mileage better on the highway than in the city? No Compute the mode(s) for the miles-per-gallon performance for city and highway driving. (Enter your answers as a comma-separated list.) city miles per gallon highway miles per gallon Is the modal mileage better on the highway than in the city? No Make a statement about the difference in performance for city and highway driving conditions. Miles-per-gallon performance is -Select-# in highway driving condition than in city driving conditions.

Answer 1

Answer:

$Mean ~ of ~ City = \frac{200}{13} = 15.38$

$Mean ~ of ~ Highway = \frac{244.7}{13} = 18.82$

$Median ~ of ~ City = 7th ~observation ~of ~the ~ascending ~series = 15.7$

$Median ~ of ~ Highway = 7th ~observation ~of ~the ~ascending ~series = 18.6$

$Mode ~ of ~ City = 3 ~Median - 2~Mean = 16.33$

$Mode ~ of ~ Highway = 3 ~Median - 2~Mean = 18.15$