To estimate how many students in the school prefer animated movies based on Tan's survey, we first calculate the proportion of students who prefer animated movies in the survey.
From the survey, the number of students who prefer animated movies is 48 out of a total of 120 students surveyed.
Now, we calculate the proportion:
\[ \text{Proportion of students who prefer animated movies} = \frac{48}{120} \]
Next, we simplify the fraction:
\[ \frac{48}{120} = \frac{2}{5} = 0.4 \]
Now, we apply this proportion to the total number of students in the school (628):
\[ \text{Estimated number of students who prefer animated movies} = 0.4 \times 628 \]
Calculating that gives:
\[ 0.4 \times 628 = 251.2 \]
Since we cannot have a fraction of a student, we round to the nearest whole number, which gives us approximately 251 students.
So, based on Tan’s sample data, approximately 251 students in the school prefer animated movies.
The correct response is:
251