Question

Question
Students were surveyed about their current language class.

In the 9th grade class, 58 students take French and 47 take German.
In the10th 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.

(1 point)
Responses

Grade French German Total
9th 58 47 105
10th 70 64 239
11th 67 57 363
Total 195 363 726
Grade French German Total 9th 58 47 105 10th 70 64 239 11th 67 57 363 Total 195 363 726

Grade French German Difference
9th 58 47 11
10th 70 64 6
11th 67 57 10
Total 195 168 390
Grade French German Difference 9th 58 47 11 10th 70 64 6 11th 67 57 10 Total 195 168 390

Grade French German Total
9th 47 58 105
10th 64 70 134
11th 57 67 124
Total 168 195 1363
Grade French German Total 9th 47 58 105 10th 64 70 134 11th 57 67 124 Total 168 195 1363

Grade French German Total
9th 58 47 105
10th 70 64 134
11th 67 57 124
Total 195 168 363
Grade French German Total 9th 58 47 105 10th 70 64 134 11th 67 57 124 Total 195 168 363
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Answer 1

To construct a two-way frequency table based on the provided survey results, we will organize the data based on the grades and the languages students are taking. The correct arrangement for the data provided is as follows:

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

#### Explanation:

1. **9th Grade:**
- French: 58 students
- German: 47 students
- Total: 58 + 47 = 105 students

2. **10th Grade:**
- French: 70 students
- German: 64 students
- Total: 70 + 64 = 134 students

3. **11th Grade:**
- French: 67 students
- German: 57 students
- Total: 67 + 57 = 124 students

4. **Overall Totals:**
- Total French: 58 + 70 + 67 = 195 students
- Total German: 47 + 64 + 57 = 168 students
- Grand Total: 105 + 134 + 124 = 363 students

Based on the calculations above, the correctly constructed two-way frequency table is:

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

This reflects the results accurately and allows for easy interpretation of the survey data.