Let's analyze the statements about the two-way frequency table step by step and check whether they are correct or not.
1. The table displays qualitative data.
- Qualitative data refers to categorical data that can be classified based on characteristics. In this table, we categorize people based on whether they wear glasses or not.
- Correct: This statement is true as the table categorizes individuals based on a qualitative attribute (wear glasses or not).
2. The row categories are "Wears Glasses" and "Do Not Wear Glasses."
- The row categories in the table are "Students" and "Teachers," not "Wears Glasses" and "Do Not Wear Glasses."
- Incorrect: This statement is false because the rows indicate the type of individuals (Students and Teachers).
3. Two teachers do not wear glasses.
- Looking at the table, under the "Do Not Wear Glasses" column and "Teachers" row, there are 2 individuals.
- Correct: This statement is true.
4. Thirty-six students wear glasses.
- According to the table, under the "Wear Glasses" column and the "Students" row, there are 32 students.
- Incorrect: This statement is false because only 32 students wear glasses.
5. A total of 6 teachers were polled.
- The total number of teachers (regardless of whether they wear glasses or not) is found in the "Teachers" row under the "Total" column, which is 6.
- Correct: This statement is true.
Based on the analysis of the table:
- The statement "The table displays qualitative data." is correct.
- The statement "The row categories are 'Wears Glasses' and 'Do Not Wear Glasses.'" is incorrect.
- The statement "Two teachers do not wear glasses." is correct.
- The statement "Thirty-six students wear glasses." is incorrect.
- The statement "A total of 6 teachers were polled." is correct.
So, the correct statements are:
- The table displays qualitative data.
- Two teachers do not wear glasses.
- A total of 6 teachers were polled.
