To estimate how many students in Tans High School prefer animated movies based on Tan's survey data, we first need to calculate the proportion of students who prefer animated movies in the sample and then use that proportion to estimate the total for the entire school.
From the survey results:
- Total number of surveyed students: 120
- Number of students who prefer animated movies: 48
Now, we can calculate the proportion of students who prefer animated movies: \[ \text{Proportion of animated movie fans} = \frac{48}{120} = 0.4 \]
Next, we apply this proportion to the total number of students in the school (628 students): \[ \text{Estimated number of students who prefer animated movies} = 0.4 \times 628 = 251.2 \]
Since the number of students must be a whole number, we round to the nearest whole number, which is 251.
Therefore, the answer is B) 251.