A random sample of students was surveyed and asked to list their grade level and what movie genre they prefer. Results are shown in the table below.

Movie Genre
Grade Superhero Comedy Drama
6th grade 12 15 9
7th Grade 11 16 13
8th Grade 13 18 16

What percent of the students prefer dramas? Round your answer to the nearest whole number percent.

1 answer

To find the percentage of students who prefer dramas, we first need to calculate the total number of students surveyed and the total number of students who prefer dramas.

Let's add up the preferences shown in the table:

For 6th grade:

  • Superhero: 12
  • Comedy: 15
  • Drama: 9

Total for 6th grade = 12 + 15 + 9 = 36

For 7th grade:

  • Superhero: 11
  • Comedy: 16
  • Drama: 13

Total for 7th grade = 11 + 16 + 13 = 40

For 8th grade:

  • Superhero: 13
  • Comedy: 18
  • Drama: 16

Total for 8th grade = 13 + 18 + 16 = 47

Now, let's calculate the total number of students surveyed:

Total students = Total for 6th grade + Total for 7th grade + Total for 8th grade Total students = 36 + 40 + 47 = 123

Next, we need to find the total number of students who prefer dramas:

Dramas for 6th grade = 9
Dramas for 7th grade = 13
Dramas for 8th grade = 16

Total who prefer dramas = 9 + 13 + 16 = 38

Now, we can find the percentage of students who prefer dramas:

\[ \text{Percentage of students who prefer dramas} = \left( \frac{\text{Total who prefer dramas}}{\text{Total students}} \right) \times 100 \]

\[ \text{Percentage of students who prefer dramas} = \left( \frac{38}{123} \right) \times 100 \approx 30.89 \]

Rounding to the nearest whole number, the percentage of students who prefer dramas is approximately 31%.