Let's analyze the information given in the two-way frequency table step-by-step to determine which statements are correct.
1. The total number of students in the poll who have a sibling is 116:
From the table, we see the following values under the "Has a Sibling" column:
- 9th Graders: 64
- 10th Graders: 52
Adding these values together, we get:
[tex]\[
64 + 52 = 116
\][/tex]
So, the total number of students in the poll who have a sibling is indeed 116. This statement is correct.
2. More 9th graders were polled than 10th graders:
From the "Total" column in the table, we see that:
- 9th Graders polled: 81
- 10th Graders polled: 75
Comparing these values:
[tex]\[
81 > 75
\][/tex]
Which means that more 9th graders were polled than 10th graders. This statement is correct.
Thus, the three correct statements from this survey data are:
- The total number of students in the poll who have a sibling is 116.
- More 9th graders were polled than 10th graders.
Therefore, these two statements are accurate according to the given two-way frequency table.
