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
251
251
125
125
52
52
141
The correct answer is 251.
We can use the formula for calculating percentages to find the approximate number of students in the school who prefer animated movies based on the sample data:
Number of students who prefer animated movies in sample = 48
Total number of students surveyed in sample = 120
Percentage of students who prefer animated movies in the sample = (48/120) x 100% = 40%
Approximate number of students in the school who prefer animated movies = (40/100) x 628 = 251 students