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.

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)

1 answer

Approximately 76 students (12% of the total students in the school) prefer animated movies based on the sample data.

To find this, you can use the formula:

proportion of students who prefer animated movies = frequency of students who prefer animated movies / total number of students in the sample

proportion = 48 / 120 = 0.4

Then, you can estimate the number of students in the school who prefer animated movies by multiplying the proportion by the total number of students:

estimated number of students who prefer animated movies = proportion * total number of students

estimated number = 0.4 * 628 = 251.2

Rounding to the nearest whole number gives an estimate of 76 students who prefer animated movies.