Question

the dotplot shows the difference (highway − city) in epa mileage ratings, in miles per gallon (mpg) for each of 24 cars. which of the following can be interpreted from this dotplot? the best car got 12 miles per gallon. some cars did just as well in the city as they did on the highway. the epa mpg rating is greater on the highway than in the city for all but one of the cars. the cars averaged about 9 miles per gallon on the highway.

Explanation:

• Option 1: The dot at 12 is the difference (Highway - City), not the highway mpg itself. So this is incorrect.
• Option 2: The dot at -2 means Highway - City = -2, so City > Highway for that car. Thus, some cars (at least one) had equal or better city mpg, so this is correct.
• Option 3: Most dots are positive (Highway - City > 0), meaning Highway mpg is greater for most, but the dot at -2 shows one car where City > Highway. However, "all but one" implies only one car has City ≤ Highway, but the dot at -2 is one car with City > Highway, so this is incorrect.
• Option 4: The dotplot shows the difference (Highway - City), not the highway mpg itself. So we can’t conclude the highway average is 9 mpg.

Answer:

B. Some cars did just as well in the city as they did on the highway. (Note: The option text here is the second option in the original, but based on the analysis, the correct interpretation is that some cars had City ≥ Highway (e.g., the dot at -2 means City = Highway + 2, so City > Highway; a dot at 0 would mean equal, though there’s no 0 here, but the presence of negative difference implies some cars had City ≥ Highway, so the option "Some cars did just as well in the city as they did on the highway" (or similar wording) is correct. If the options are labeled, e.g., A, B, C, D, the correct one is the second option (assuming labels as per the image: first option "The best car...", second "Some cars...", etc.))