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 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 64 239 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 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 Grade French German Difference 9th 58 47 11 10th 70 64 6 11th 67 57 10 Total 195 168 390

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 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 64 239 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 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 Grade French German Difference 9th 58 47 11 10th 70 64 6 11th 67 57 10 Total 195 168 390

Answer 1

To accurately represent the survey results in a two-way frequency table, we can organize the data based on grade levels and the languages taken (French and German).

Below is the correct two-way frequency table based on the information you provided:

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

Explanation of the Table:

Grade: The row indicates the different grade levels (9th, 10th, 11th) surveyed.
French: The column displays the number of students enrolled in French in each grade.
German: This column shows the number of students enrolled in German in each grade.
Total: This column provides the total number of students enrolled in both languages for each grade level, as well as the total students across all grades for each language.

Verification of Total:

The total number of students in the 9th grade is \(58 + 47 = 105\).
The total number of students in the 10th grade is \(70 + 64 = 134\).
The total number of students in the 11th grade is \(67 + 57 = 124\).
The overall total for French is \(58 + 70 + 67 = 195\).
The overall total for German is \(47 + 64 + 57 = 168\).
Therefore, the grand total of all students surveyed is \(105 + 134 + 124 = 363\).

This frequency table summarizes the results effectively and correctly based on the data provided.