Question

Students were surveyed in about their current language class.

In the 9th grade class, 58 students take French and 47 take German.
In the 10th grade class, 70 students take French and 64 take German.
In the 11th grade class, 67 students take French and 57 take German.
Construct a two-way frequency table to display the survey results.

(7 points)
Responses

Answer 1

To construct a two-way frequency table displaying the survey results for the students taking French and German across different grades, we can organize the information in a table format. The rows will represent the grades (9th, 10th, and 11th), while the columns will represent the languages (French and German).

Here’s how the two-way frequency table would look:

| Grade | French | German | Total |
|-------------|--------|--------|-------|
| 9th | 58 | 47 | 105 |
| 10th | 70 | 64 | 134 |
| 11th | 67 | 57 | 124 |
| **Total** | **195**| **168**| **363**|

### Explanation:
- **Rows (Grades)**: The 9th, 10th, and 11th grades.
- **Columns (Languages)**: The number of students taking French and German in each grade.
- **Total for each grade**: The total number of students in each grade taking either French or German.
- **Overall Totals**: The total number of students taking each language across all grades and the overall total of students surveyed.

1. For the 9th grade:
- Total = 58 (French) + 47 (German) = 105
2. For the 10th grade:
- Total = 70 (French) + 64 (German) = 134
3. For the 11th grade:
- Total = 67 (French) + 57 (German) = 124
4. Overall total:
- Total French = 58 + 70 + 67 = 195
- Total German = 47 + 64 + 57 = 168
- Total survey = 105 (9th) + 134 (10th) + 124 (11th) = 363

This table effectively summarizes the data collected from student responses regarding their language classes in each grade.