Step 1 :Find the mode by looking at the highest number of cars for a given number of teachers in one car: \(\text{Mode} = 3\)
Step 2 :Find the median by ordering the dataset and finding the middle value: \(\text{Median} = 3\)
Step 3 :Find the mean by dividing the total number of teachers by the total number of cars: \(\text{Mean} = \frac{37}{15} \approx 2.47\)
Step 4 :\(\boxed{\text{Modal} = 3, \text{Median} = 3, \text{Mean} \approx 2.47}\)