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 251 251 125 125 141 141 52

1 answer

To estimate the number of students in the school that prefer animated movies based on the survey results, we can use proportions.

From the survey, we see that out of 120 surveyed students, 48 prefer animated movies.

To find the proportion of students who prefer animated movies, we can calculate:

\[ \text{Proportion of Animated preference} = \frac{\text{Number of students who prefer animated}}{\text{Total number of students surveyed}} = \frac{48}{120} \]

Calculating this gives:

\[ \frac{48}{120} = 0.4 \]

Next, we can use this proportion to estimate the number of students in the entire school (628 students) who prefer animated movies:

\[ \text{Estimated number of students who prefer animated} = \text{Total students in school} \times \text{Proportion of Animated preference} = 628 \times 0.4 \]

Calculating this yields:

\[ 628 \times 0.4 = 251.2 \]

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

Thus, based on the survey, approximately 251 students in the school prefer animated movies.

The answer is 251.