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Survey of 9th and 10th Graders with Siblings

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

\begin{tabular}{|c|c|c|c|}
\cline {2-4} \multicolumn{1}{c|}{} & \begin{tabular}{c}
Has a \\
Sibling
\end{tabular} & \begin{tabular}{c}
Does Not \\
Have a \\
Sibling
\end{tabular} & Total \\
\hline \begin{tabular}{c}
9th \\
Graders
\end{tabular} & 64 & 17 & 81 \\
\hline \begin{tabular}{c}
10th \\
Graders
\end{tabular} & 52 & 23 & 75 \\
\hline Total & 116 & 40 & 156 \\
\hline
\end{tabular}

A. The survey represents quantitative data.
B. There is a greater percentage of 10th graders who do not have a sibling than 9th graders who do not have a sibling.
C. The total number of students in the poll who have a sibling is 116.
D. Fifty-two 10th graders were polled.
E. More 9th graders were polled than 10th graders.



Answer :

GinnyAnswer
Let's examine each statement and determine which ones are correct given the data presented in the two-way frequency table:

1. The survey represents quantitative data:
- This statement is correct. The survey results involve counting the number of students who have siblings and those who do not, which involves numerical data. Therefore, the survey represents quantitative data.

2. There is a greater percentage of 10th graders who do not have a sibling than 9th graders who do not have a sibling:
- To verify this, we will examine the percentages of 9th and 10th graders who do not have siblings:
- The percentage of 9th graders who do not have a sibling is about 20.99%.
- The percentage of 10th graders who do not have a sibling is about 30.67%.
- Since 30.67% (10th graders) is greater than 20.99% (9th graders), the statement is correct.

3. The total number of students in the poll who have a sibling is 116:
- This statement is correct as the table shows a total of 116 students who have a sibling.

4. Fifty-two 10th graders were polled:
- This statement is incorrect. The table indicates that 52 10th graders have siblings, but the total number of 10th graders polled is 75.

5. More 9th graders were polled than 10th graders:
- This statement is correct. The total number of 9th graders polled is 81, and the total number of 10th graders polled is 75. Therefore, more 9th graders were polled than 10th graders.

In summary, the following statements are correct:
- The survey represents quantitative data.
- There is a greater percentage of 10th graders who do not have a sibling than 9th graders who do not have a sibling.
- The total number of students in the poll who have a sibling is 116.
- More 9th graders were polled than 10th graders.

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