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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.

Cars from both companies have equally consistent highway fuel efficiency.
Cars from both companies have equally consistent highway fuel efficiency.

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.

1 answer

To determine which car company has more consistent highway fuel efficiency, we need to analyze the range of the two data sets.

Car Company A:

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

Car Company B:

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

Now, comparing the ranges:

  • Car Company A has a range of 8.
  • Car Company B has a range of 15.

Because Car Company A has a smaller range, it indicates that the fuel efficiency of its cars is more consistent.

Therefore, the appropriate response 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.