Question

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?
A. The cars from Company A have a higher mean highway fuel efficiency that Company B.
B. The cars from both companies have the same mean, median, and modal highway fuel efficiency.
C. The cars from Company A have higher median highway fuel efficiency than Company B.
D. The cars from Company B have higher modal highway fuel efficiency than Company A.

Answer 1

Answer: A

Work:
- Company A: mean = 262/8 = 32.75, median = (31+35)/2 = 33.0, mode = 35 (occurs 3 times).
- Company B: mean = 252/8 = 31.5, median = (33+34)/2 = 33.5, mode = 34 (occurs 3 times).

Company A has the higher mean (32.75 > 31.5), so statement A is true.