Final answer:
The mode of the fleet fuel efficiency data is 38 mpg, as it appears most frequently in the dataset. The median is 32 mpg, which is the middle value when the data is ordered.
Step-by-step explanation:
To find the mode of a dataset, you need to identify the number that appears most frequently. In the given list of fuel efficiency (miles per gallon) ratings for 30 cars, the numbers are already sorted from lowest to highest. The mode is the value that appears most often in a set of data. In this case, by looking at the frequency of each number, we see that the number '38' appears four times, which is more frequently than any other number. Therefore, the mode of this dataset is 38 mpg.
For finding the median, which is the middle value of a dataset when it is ordered in ascending or descending order, we count the number of data points (30) and find the middle. Since 30 is an even number, the median will be the average of the 15th and 16th numbers in the ordered set. The 15th and 16th numbers are both '32', thus the median is also 32 mpg.