Question

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

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

251
251

52
52

141
141
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Answer 1

To estimate the number of students in the school who prefer animated movies based on Tan's sample data, you can use the proportion of students who preferred animated movies in the survey.

1. First, find the total number of students surveyed:
- Total surveyed = 120 students

2. Identify how many of those preferred animated movies:
- Students who prefer animated = 48

3. Calculate the proportion of students who prefer animated movies:
\[
\text{Proportion} = \frac{48}{120} = 0.4
\]

4. Next, estimate the total number of students in the school:
- Total students in the school = 628

5. Now, multiply the proportion by the total number of students in the school to find the estimated number of students who prefer animated movies:
\[
\text{Estimated number of students} = 0.4 \times 628 = 251.2
\]

6. Since we cannot have a fraction of a student, we round to the nearest whole number, which is 251.

Thus, based on Tan’s sample data, approximately **251** students in the school prefer animated movies.