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

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.

1 answer

To determine which car company has cars that are more consistent in highway fuel efficiency, we can look at the range of highway fuel efficiency in miles per gallon (mpg) for each company.

Car Company A:

  • Fuel efficiency values: 35, 28, 35, 30, 31, 36, 35, 30
  • Minimum value: 28
  • Maximum value: 36
  • Range: 36 - 28 = 8

Car Company B:

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

Now, we can compare the ranges:

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

Since a lower range indicates more consistency in fuel efficiency (less variability in the mpg values), 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.

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