The following data sets represent the highway fuel efficiency in miles per gallon (mpg) 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
( Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.
( Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B. ( Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.
( Cars from both companies have equally consistent highway fuel efficiency.
To determine which company has cars that are more consistent in highway fuel efficiency, we need to compare the ranges of the two data sets. The range is calculated by finding the difference between the highest and lowest values in each data set.
For Car Company A, the highest value is 36 and the lowest value is 28, so the range is 36 - 28 = 8.
For Car Company B, the highest value is 40 and the lowest value is 25, so the range is 40 - 25 = 15.
Therefore, Car Company A has a smaller range (8) compared to Car Company B (15), indicating that its cars have more consistent highway fuel efficiency.
So the correct answer is:
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.