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Poll of Students and Teachers Who Wear Glasses

\begin{tabular}{|c|c|c|c|}
\cline { 2 - 4 }
\multicolumn{1}{c|}{} & \begin{tabular}{c}
Wear \\
Glasses
\end{tabular} & \begin{tabular}{c}
Do Not \\
Wear \\
Glasses
\end{tabular} & Total \\
\hline
Students & 32 & 97 & 129 \\
\hline
Teachers & 4 & 2 & 6 \\
\hline
Total & 36 & 99 & 135 \\
\hline
\end{tabular}

Which statements are correct about the two-way frequency table? Check all that apply.

A. The table displays qualitative data.
B. The row categories are "Wears Glasses" and "Do Not Wear Glasses."
C. Two teachers do not wear glasses.
D. Thirty-six students wear glasses.
E. A total of 6 teachers were polled.

Sagot :

GinnyAnswer
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.
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