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
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 highway fuel efficiency of its cars is lower than that of Car Company B
d Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.
c Car Company A is more consistent, because the range of 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 is the difference between the highest and lowest values in the data set.
For Car Company A, the range can be calculated as follows:
- Highest value: 36
- Lowest value: 28
- Range: 36 - 28 = 8
For Car Company B, the range can be calculated as follows:
- Highest value: 40
- Lowest value: 25
- Range: 40 - 25 = 15
Therefore, the correct answer is (c) Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.