Let's analyze and find the required relative frequencies step by step:
### 1. Relative Frequency of 7th Graders Who Are Present
1. Identify the number of 7th graders present:
- According to the table, there are 44 7th graders present.
2. Identify the total number of 7th graders:
- The total number of 7th graders is the sum of those present and those absent.
- Total number of 7th graders = Present (44) + Absent (4) = 48.
3. Calculate the relative frequency:
- Relative frequency is given by the ratio of the number of present 7th graders to the total number of 7th graders.
[tex]\[
\text{Relative Frequency Present (7th Grade)} = \frac{\text{Number of Present 7th Graders}}{\text{Total Number of 7th Graders}} = \frac{44}{48} \approx 0.9167
\][/tex]
### 2. Relative Frequency of All Students Who Are Absent
1. Identify the total number of absent students:
- According to the table, the total number of absent students is 11.
2. Identify the total number of students:
- The total number of students (7th, 8th, and 9th grades combined) is 120.
3. Calculate the relative frequency:
- Relative frequency is given by the ratio of the number of absent students to the total number of students.
[tex]\[
\text{Relative Frequency Absent (All Grades)} = \frac{\text{Number of Absent Students}}{\text{Total Number of Students}} = \frac{11}{120} \approx 0.0917
\][/tex]
### Completing the Statements
1. The relative frequency of 7th graders who are present is:
[tex]\[
\boxed{0.9167}
\][/tex]
2. The relative frequency of all students who are absent is:
[tex]\[
\boxed{0.0917}
\][/tex]
So, after going through these steps methodically, we arrive at the required relative frequencies for the given data.
