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

251
251

52
52

141

1 answer

To estimate the total number of students in the school who prefer animated movies based on the survey, we can use the proportion of surveyed students who like animated movies and apply it to the total student population.

From the survey results, 48 out of 120 surveyed students prefer animated movies.

First, we'll calculate the proportion of students who prefer animated movies:

\[ \text{Proportion of students preferring animated movies} = \frac{48}{120} = 0.4 \]

Now, we'll apply this proportion to the total number of students in the school (628):

\[ \text{Estimated number of students preferring animated movies} = 0.4 \times 628 \]

Calculating this gives:

\[ 0.4 \times 628 = 251.2 \]

Since we cannot have a fraction of a student, we round to the nearest whole number:

Approximately 251 students in the school prefer animated movies.

So, the answer is:

251