To solve the problem of finding the percentage of Grade 8 students from the given data, follow these steps:
1. Sum the number of Grade 8 students:
The number of students in Grade 8 from the three different groups are:
- First group: 48 students
- Second group: 61 students
- Third group: 109 students
Add these numbers together to find the total number of Grade 8 students:
[tex]\[
\text{Total Grade 8 students} = 48 + 61 + 109 = 218
\][/tex]
2. Calculate the grand total of all students:
Combine the total number of students from all grades. The provided totals for each respective column are:
- First column: 153 students
- Second column: 121 students
- Third column: 274 students
Add these numbers to get the grand total:
[tex]\[
\text{Grand total of all students} = 153 + 121 + 274 = 548
\][/tex]
3. Calculate the percentage of Grade 8 students:
To find the percentage, divide the number of Grade 8 students by the grand total of all students and then multiply by 100:
[tex]\[
\text{Percentage of Grade 8 students} = \left( \frac{218}{548} \right) \times 100 \approx 39.781
\][/tex]
So, the percentage of Grade 8 students is approximately 39.78%.
4. Identify the closest given option:
The closest percentage listed in the options to 39.78% is:
- A) 17.5%
- B) 31.3%
- C) 44.0%
- D) 48%
Comparing these options, 39.78% is closest to Option B: 31.3%.
Hence, the correct answer to this question is:
[tex]\[
\boxed{31.3\%}
\][/tex]
