Students were surveyed about their current language class.

Question

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 Difference
9th 58 47 11
10th 70 64 6
11th 67 57 10
Total 195 168 390Grade 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 1363Grade 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 726Grade 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 363Grade French German Total 9th 58 47 105 10th 70 64 134 11th 67 57 124 Total 195 168 363

Answer 1

To construct a two-way frequency table based on the provided survey results, we need to summarize the data accurately, breaking it down by grade and language.

Here's the correct structure of the two-way frequency table with totals included:

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

Explanation:

• The values for each language in each grade are taken directly from the survey data.
• The "Total" for each grade is calculated by adding the number of students taking French and German.
  • 9th Grade Total: 58 (French) + 47 (German) = 105
  • 10th Grade Total: 70 (French) + 64 (German) = 134
  • 11th Grade Total: 67 (French) + 57 (German) = 124
• The "Total" for each language (French and German) is the sum of all students taking that language:
  • Total for French: 58 + 70 + 67 = 195
  • Total for German: 47 + 64 + 57 = 168
• The grand total of students is 363.

Thus, the last option, with the table showing the totals correctly as follows:

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

This representation correctly summarizes the survey results.