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

141
141

251
251

125
125

52
52
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1 answer

To estimate how many students in Tan's high school prefer animated movies based on the survey results, we can use the proportion of students in the sample who prefer animated movies and then apply this proportion to the total student population.

From the survey:

  • Total number of students surveyed = 120
  • Number of students who prefer Animated movies = 48

Now, we find the proportion of students who prefer animated movies in the sample:

\[ \text{Proportion of students who prefer Animated movies} = \frac{48}{120} \]

Calculating this gives:

\[ \frac{48}{120} = 0.4 \]

Now, to estimate the number of students in the entire school (which has 628 students) who prefer animated movies, we multiply this proportion by the total number of students:

\[ \text{Estimated number of students who prefer Animated movies} = 0.4 \times 628 \]

Calculating this gives:

\[ 0.4 \times 628 = 251.2 \]

Since we can’t have a fraction of a student, we round it to the nearest whole number:

Approximately 251 students in the school prefer animated movies.

So, the correct response is:

251