To estimate how many students in Tan's high school prefer animated movies based on the survey results, we can use the proportion of students in the sample who prefer animated movies and then apply this proportion to the total student population.
From the survey:
- Total number of students surveyed = 120
- Number of students who prefer Animated movies = 48
Now, we find the proportion of students who prefer animated movies in the sample:
\[ \text{Proportion of students who prefer Animated movies} = \frac{48}{120} \]
Calculating this gives:
\[ \frac{48}{120} = 0.4 \]
Now, to estimate the number of students in the entire school (which has 628 students) who prefer animated movies, we multiply this proportion by the total number of students:
\[ \text{Estimated number of students who prefer Animated movies} = 0.4 \times 628 \]
Calculating this gives:
\[ 0.4 \times 628 = 251.2 \]
Since we can’t have a fraction of a student, we round it to the nearest whole number:
Approximately 251 students in the school prefer animated movies.
So, the correct response is:
251