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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 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. 

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.

Cars from both companies have equally consistent highway fuel efficiency.

:)

1 answer

To determine which car company has more consistent highway fuel efficiency, we should calculate the range of highway fuel efficiency for both companies.

Car Company A: Values: 35, 28, 35, 30, 31, 36, 35, 30

  • Minimum = 28
  • Maximum = 36
  • Range = Maximum - Minimum = 36 - 28 = 8

Car Company B: Values: 29, 33, 40, 27, 34, 34, 34, 25

  • Minimum = 25
  • Maximum = 40
  • Range = Maximum - Minimum = 40 - 25 = 15

Now, comparing the ranges:

  • Car Company A's range is 8.
  • Car Company B's range is 15.

Since Car Company A has a lower range (8) compared to Car Company B (15), we 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.