Question

Question
There are 628 students in Tan’s high school. Tan surveys 120 randomly chosen students about their favorite movie genre. The results are as follows.

This table presents the number of students who prefer each movie genre based on a survey.
Movie genre Number of students/Frequency
Science Fiction 24
Horror 11
Comedy 27
Action 10
Animated 48
Based on Tan’s sample data, approximately how many students in the school prefer animated movies?

(1 point)
Responses

125
125

141
141

52
52

251
251

Answer 1

To find the approximate number of students in the school who prefer animated movies, we can use the proportion of students who prefer animated movies from Tan's survey.

From the survey results:
- Total number of surveyed students = 120
- Number of students who prefer animated movies = 48

To find the proportion of students who prefer animated movies:
\[
\text{Proportion of animated movie preferences} = \frac{48}{120} = 0.4
\]

Now, we can calculate the approximate number of students in the entire school who prefer animated movies:
\[
\text{Estimated number of animated movie fans} = 0.4 \times 628
\]
Calculating that:
\[
0.4 \times 628 = 251.2
\]

Since we cannot have a fraction of a student, we round this to approximately 251 students.

Thus, the answer is **251**.