The following data set represents the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies Car company A: 35,28,35,30,31,38,35,30. Car company B: 29,33,36,27,34,34,34,25. Which of the following statements is true?
Based on the given data set, the following statements are true:
1. The average highway fuel efficiency of cars from company A is 32.75 mpg, while the average highway fuel efficiency of cars from company B is 31.375 mpg. Therefore, cars from company A have a higher average highway fuel efficiency compared to cars from company B.
2. The range of highway fuel efficiency for cars from company A is 8 mpg (38 - 30), while the range for cars from company B is 11 mpg (36 - 25). Therefore, cars from company B have a larger range of highway fuel efficiency compared to cars from company A.
3. The standard deviation of highway fuel efficiency for cars from company A is approximately 3.32 mpg, while the standard deviation for cars from company B is approximately 3.22 mpg. Therefore, there is a slightly higher variability in highway fuel efficiency among cars from company A compared to cars from company B.
4. The median highway fuel efficiency for cars from company A is 35 mpg, while the median for cars from company B is 33.5 mpg. Therefore, cars from company A have a higher median highway fuel efficiency compared to cars from company B.