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Poll of Students and Teachers Who Wear Glasses

\begin{tabular}{|c|c|c|c|}
\hline
& \begin{tabular}{l}
Wear \\
Glasses
\end{tabular}
& \begin{tabular}{l}
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? Choose three correct answers.

A. A total of 6 teachers were polled.

B. The row categories are "Wears Glasses" and "Do Not Wear Glasses."

C. Two teachers do not wear glasses.

Sagot :

GinnyAnsweridn
Let's break down the information given in the problem and verify the statements asked about the two-way frequency table.

Given Table:

[tex]\[ \begin{array}{|c|c|c|c|} \hline & \text{Wear Glasses} & \text{Do Not Wear Glasses} & \text{Total} \\ \hline \text{Students} & 32 & 97 & 129 \\ \hline \text{Teachers} & 4 & 2 & 6 \\ \hline \text{Total} & 36 & 99 & 135 \\ \hline \end{array} \][/tex]

Let's analyze the given data and verify the statements:

1. A total of 6 teachers were polled.
- From the table, it is clear that the total number of teachers (from both categories: wear glasses and do not wear glasses) is 6.
- This statement is correct.

2. The row categories are "Wears Glasses" and "Do Not Wear Glasses."
- The row categories in the table are actually "Students" and "Teachers."
- This statement is incorrect because the row categories are not "Wears Glasses" and "Do Not Wear Glasses."

3. Two teachers do not wear glasses.
- From the table, it is evident that the number of teachers who do not wear glasses is 2.
- This statement is correct.

Thus, from the analysis, the correct statements about the two-way frequency table are:

- A total of 6 teachers were polled.
- Two teachers do not wear glasses.
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