Let's analyze each statement in the context of the given two-way frequency table.
Statement 1: The table displays qualitative data.
- Qualitative data refers to data that can be categorized based on qualities or attributes rather than numerical values. In this table, "Wear Glasses" and "Do Not Wear Glasses" are categories, which are qualitative attributes.
- Therefore, this statement is correct.
Statement 2: The row categories are "Wears Glasses" and "Do Not Wear Glasses."
- The row categories in the table are "Students" and "Teachers," while "Wears Glasses" and "Do Not Wear Glasses" are column categories.
- Hence, this statement is incorrect.
Statement 3: Two teachers do not wear glasses.
- According to the table, the number of teachers who do not wear glasses is 2.
- Therefore, this statement is correct.
Statement 4: Thirty-six students wear glasses.
- According to the table, the number of students who wear glasses is 32, not 36.
- Hence, this statement is incorrect.
Statement 5: A total of 6 teachers were polled.
- In the table, the total number of teachers (sum of those who wear glasses and those who do not) is 6.
- Therefore, this statement is correct.
Based on the analysis, the correct statements are:
1. The table displays qualitative data.
2. Two teachers do not wear glasses.
3. A total of 6 teachers were polled.
So, the correct answers are:
- The table displays qualitative data.
- Two teachers do not wear glasses.
- A total of 6 teachers were polled.
