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? (1 point) Responses The cars from Company A have higher median highway fuel efficiency than Company B. The cars from Company A have higher median highway fuel efficiency than Company B. The cars from Company B have higher modal highway fuel efficiency than Company A. The cars from Company B have higher modal highway fuel efficiency than Company A. The cars from both companies have the same mean, median, and modal highway fuel efficiency. The cars from both companies have the same mean, median, and modal highway fuel efficiency. The cars from Company A have a higher mean highway fuel efficiency that Company B.
The statement "The cars from Company A have a higher mean highway fuel efficiency than Company B" is true.
To find the mean of each data set, we add up all the values and divide by the total number of values:
For Company A:
(35 + 28 + 35 + 30 + 31 + 38 + 35 + 30) / 8 = 262 / 8 = 32.75
For Company B:
(29 + 33 + 36 + 27 + 34 + 34 + 34 + 25) / 8 = 252 / 8 = 31.5
Therefore, the mean highway fuel efficiency for Company A is 32.75 mpg and for Company B is 31.5 mpg, indicating that the cars from Company A have higher mean highway fuel efficiency than Company B.