Random Sampling Quick Check
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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.
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
52
52
141
141
251
251
125
The correct answer is: 251
To find the approximate number of students in the school who prefer animated movies, you can set up a proportion using the sample data.
48 (number of students who prefer animated movies in the sample) / 120 (total number of students surveyed) = x (number of students who prefer animated movies in the school) / 628 (total number of students in the school)
48/120 = x/628
Solving for x:
x = (48/120) * 628
x = 251
Therefore, approximately 251 students in the school prefer animated movies.