The following data sets represent the highway fuel efficiency in miles per gallon of randomly selected cars from two car companies. Which company has cars that are more consistent in highway fuel efficiency?
Car Company A: 35, 28, 35, 30, 31, 36, 35, 30
Car Company B: 29, 33, 40, 27, 34, 34, 34, 25
A. Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.
B. Cars from both companies have equally consistent highway fuel efficiency
C. Car Company A is more consistent, because the range of the highway fuel efficiency of its cars is higher than that of Car Company B.
D. Car Company A is more consistent, because the range of the highway fuel efficiency of its cars is lower than that of Car Company B
To determine which car company has cars that are more consistent in highway fuel efficiency, we can compare the ranges of the two data sets. The range of a data set is the difference between the maximum and minimum values.
For Car Company A, the range of highway fuel efficiency is 36 - 28 = 8 mpg.
For Car Company B, the range of highway fuel efficiency is 40 - 25 = 15 mpg.
Since the range of Car Company A is lower than the range of Car Company B, we can conclude that Car Company A has cars that are more consistent in highway fuel efficiency. Thus, the correct answer is:
D. Car Company A is more consistent, because the range of the highway fuel efficiency of its cars is lower than that of Car Company B.