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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. 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.

1 answer

To determine which company has cars that are more consistent in highway fuel efficiency, we can look at the range for each company's data set.

  1. Calculate the range for each company:

    • Range is calculated as the difference between the maximum and minimum values in the dataset.

    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

  2. Compare the ranges:

    • Car Company A: Range = 8
    • Car Company B: Range = 15

A smaller range indicates that the fuel efficiency values are closer together, meaning that the cars are more consistent. Since the range for Car Company A (8) is lower than that for 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.