Question

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 (1 point) Responses Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company 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. 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 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 A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B. Cars from both companies have equally consistent highway fuel efficiency.

Answer 1

To determine which car company has more consistent highway fuel efficiency, we can calculate the range for each company.

For Car Company A:

• Data: 35, 28, 35, 30, 31, 36, 35, 30
• Minimum value = 28
• Maximum value = 36
• Range = Maximum - Minimum = 36 - 28 = 8

For Car Company B:

• Data: 29, 33, 40, 27, 34, 34, 34, 25
• Minimum value = 25
• Maximum value = 40
• Range = Maximum - Minimum = 40 - 25 = 15

Now we compare the ranges:

• Car Company A range = 8
• Car Company B range = 15

Since a lower range indicates more consistency in the data, we can conclude that:

Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.