Alright, let's solve the problem step by step using the provided data in the table.
We need to find two relative frequencies:
1. The relative frequency of 7th graders who are present.
2. The relative frequency of all students who are absent.
### Step 1: Calculate the relative frequency of 7th graders who are present.
The formula for relative frequency is given by:
[tex]\[ \text{Relative Frequency} = \frac{\text{Number of Students of Interest}}{\text{Total Number of Students in that Group}} \][/tex]
For the 7th grade students who are present:
- The number of present 7th grade students (students of interest) = 44
- The total number of 7th grade students = 48
So, the relative frequency is:
[tex]\[ \text{Relative Frequency of 7th Graders Present} = \frac{44}{48} \approx 0.9167 \][/tex]
### Step 2: Calculate the relative frequency of all students who are absent.
For the students who are absent:
- The total number of absent students (students of interest) = 11
- The overall total number of students = 120
So, the relative frequency is:
[tex]\[ \text{Relative Frequency of All Students Absent} = \frac{11}{120} \approx 0.0917 \][/tex]
### Final Results
After performing these calculations, we get:
- The relative frequency of 7th graders who are present is approximately [tex]\(0.9167\)[/tex].
- The relative frequency of all students who are absent is approximately [tex]\(0.0917\)[/tex].
So, the completed statements are:
- The relative frequency of 7th graders who are present is [tex]\(0.9167\)[/tex].
- The relative frequency of all students who are absent is [tex]\(0.0917\)[/tex].
