Random Sampling Quick Check
4 of 54 of 5 Items
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
52
52
141
141
125
The correct answer is 141.
To find the approximate number of students in the school who prefer animated movies, we can use the formula for finding the proportion of a sample in a population.
Proportion of students who prefer animated movies = Number of students who prefer animated movies in the sample / Total number of students in the sample
Proportion of students who prefer animated movies = 48 / 120 = 0.4
To find the approximate number of students in the school who prefer animated movies, we can multiply the proportion by the total number of students in the school.
Approximate number of students who prefer animated movies = Proportion of students who prefer animated movies * Total number of students in the school
Approximate number of students who prefer animated movies = 0.4 * 628 = 251.2
Rounding to the nearest whole number, approximately 251 students in the school prefer animated movies.