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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

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.

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.
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1 answer

To determine which company has cars that are more consistent in highway fuel efficiency, we can calculate the range for each company's data set, which is the difference between the maximum and minimum values.

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 we compare the ranges:

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

Since Car Company A has a lower range, this indicates that cars from Company A are more consistent in terms of highway fuel efficiency.

The correct answer 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.