To estimate how many students in the entire school prefer animated movies based on Tan's survey, you can use the proportion of students who prefer animated movies in the sample and apply that to the total number of students in the school.
In the survey, the total number of students surveyed is 120, and the number of students who prefer animated movies is 48.
First, calculate the proportion of students who prefer animated movies: \[ \text{Proportion of animated movie fans} = \frac{48}{120} \] Calculating the proportion: \[ \text{Proportion} = \frac{48}{120} = 0.4 \]
Now, use this proportion to estimate the number of students in the entire school (628 students) who prefer animated movies: \[ \text{Estimated number of animated movie fans} = 0.4 \times 628 \] Calculating this gives: \[ 0.4 \times 628 = 251.2 \]
Since we are estimating the number of students, we can round this to approximately 251.
Therefore, the answer is 251.