1. **State the problem:** We have the class levels of 30 students in a physics course: Freshman = 3, Sophomore = 10, Junior = 9, Senior = 8. 2. **Find the mean:** The mean is the average value, calculated by multiplying each class level by the number of students, summing these products, and dividing by the total number of students. 3. **Assign numeric values:** Freshman = 1, Sophomore = 2, Junior = 3, Senior = 4. 4. **Calculate the sum of values:** $$\text{Sum} = (1 \times 3) + (2 \times 10) + (3 \times 9) + (4 \times 8) = 3 + 20 + 27 + 32 = 82$$ 5. **Calculate the mean:** $$\text{Mean} = \frac{82}{30}$$ 6. **Simplify the fraction:** $$\frac{82}{30} = \frac{\cancel{82}}{\cancel{30}} \text{ (no common factors to cancel)}$$ 7. **Calculate decimal:** $$\text{Mean} = 2.7333... \approx 2.7 \text{ (rounded to one decimal place)}$$ 8. **Interpretation:** The mean class level is approximately 2.7, which corresponds to between Sophomore and Junior. **Answer:** The mean is 2.7. **Note:** The mean can be calculated because the data are at the ordinal level (class levels have a meaningful order), so option A is incorrect as 7.5 is not the mean, and options B, C, and D are incorrect for the reasons stated.