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

125
125

52
52

141
141
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1 answer

To estimate how many students in the school prefer animated movies based on the survey results, we can use proportions.

In the survey, 48 out of 120 students prefer animated movies. To find the approximate number of students in the entire school who prefer animated movies, we'll use the following steps:

Calculate the proportion of students who prefer animated movies in the survey: \[ \text{Proportion for Animated} = \frac{48}{120} \]
Multiply this proportion by the total number of students in the school (628): \[ \text{Estimated number of Animated movie fans} = \left(\frac{48}{120}\right) \times 628 \]

Now, let's calculate it step by step:

Calculate the proportion: \[ \frac{48}{120} = 0.4 \]
Estimate the number of students who prefer animated movies: \[ 0.4 \times 628 = 251.2 \]

Since we are dealing with a number of students, we can round this to the nearest whole number, which is 251.

So, based on Tan’s survey, approximately 251 students in the school prefer animated movies.

The answer is: 251.