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 251 251 141 141 52 52 125

Answer 1

To estimate the total number of students in the school who prefer animated movies based on the survey, we can use the proportion of students in the survey who prefer animated movies.

From the survey:

• Total students surveyed = 120
• Students who prefer animated movies = 48

Now we can calculate the proportion of students who prefer animated movies:

\[ \text{Proportion of students who prefer animated movies} = \frac{48}{120} \]

Next, we need to calculate this proportion:

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

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

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

Calculating that:

\[ 0.4 \times 628 = 251.2 \]

Since the number of students must be a whole number, we can round this to approximately 251.

Therefore, the answer is 251.