Let's solve the two statements using the given data from the table.
1. The relative frequency of 7th graders who are present:
To find the relative frequency of 7th graders who are present, we need to divide the number of present 7th grade students by the total number of 7th grade students.
- Number of 7th graders who are present: 44
- Total number of 7th graders: 48
The relative frequency is given by:
[tex]\[ \text{Relative Frequency} = \frac{\text{Number of 7th graders who are present}}{\text{Total number of 7th graders}} \][/tex]
Substitute the values:
[tex]\[ \text{Relative Frequency} = \frac{44}{48} \approx 0.9167 \][/tex]
So, the relative frequency of 7th graders who are present is 0.9167 (or 91.67%).
2. The relative frequency of all students who are absent:
To find the relative frequency of all students who are absent, we need to divide the total number of absent students by the total number of all students.
- Number of students who are absent (sum of absentees from all grades): 4 (7th) + 1 (8th) + 6 (9th) = 11
- Total number of students: 120
The relative frequency is given by:
[tex]\[ \text{Relative Frequency} = \frac{\text{Total number of students who are absent}}{\text{Total number of students}} \][/tex]
Substitute the values:
[tex]\[ \text{Relative Frequency} = \frac{11}{120} = 0.0917 \][/tex]
But we were asked directly about the number of students who are absent, thus simply adding up gives us a total of 11 absent students.
So, the relative frequency of all students who are absent is 11.
Plugging these results into the statements:
- The relative frequency of 7th graders who are present is 0.9167.
- The relative frequency of all students who are absent is 11.
