Melanie asked 15 random seventh-grade students how many soccer games they attended this school year. The number of games attended by each student is listed below:

[tex]\[2, 3, 6, 4, 7, 0, 4, 5, 0, 1, 2, 3, 2, 1, 4\][/tex]

What is the ratio of the total number of surveyed students who attended soccer games to the total number of students surveyed?

A. [tex]\(\frac{2}{15}\)[/tex]

B. [tex]\(\frac{2}{13}\)[/tex]

C. [tex]\(\frac{13}{15}\)[/tex]

D. [tex]\(\frac{13}{2}\)[/tex]



Answer :

To determine the ratio of the total number of surveyed students who attended soccer games to the total number of students surveyed, follow these steps:

1. List the Number of Games Attended:
The list of games attended by each of the 15 seventh-grade students is:
[tex]\[ 2, 3, 6, 4, 7, 0, 4, 5, 0, 1, 2, 3, 2, 1, 4 \][/tex]

2. Count the Total Number of Students Surveyed:
The total number of students surveyed is given directly as 15.

3. Identify Students Who Attended At Least One Game:
We need to count how many students attended at least one game (i.e., their attendance is greater than 0). Let's go through the list:

[tex]\[ \begin{aligned} &2, &\text{(attended)} \\ &3, &\text{(attended)} \\ &6, &\text{(attended)} \\ &4, &\text{(attended)} \\ &7, &\text{(attended)} \\ &0, &\text{(did not attend)} \\ &4, &\text{(attended)} \\ &5, &\text{(attended)} \\ &0, &\text{(did not attend)} \\ &1, &\text{(attended)} \\ &2, &\text{(attended)} \\ &3, &\text{(attended)} \\ &2, &\text{(attended)} \\ &1, &\text{(attended)} \\ &4 &\text{(attended)} \end{aligned} \][/tex]

Counting these, we find there are 13 students who attended at least one game.

4. Form the Ratio:
The ratio of the number of students who attended at least one game to the total number of students surveyed is:

[tex]\[ \frac{\text{Number of students who attended games}}{\text{Total number of students}} = \frac{13}{15} \][/tex]

So, the correct answer is [tex]\(\frac{13}{15}\)[/tex].