Final answer:
To complete the two-way frequency table, we need to determine the number of students in each of the three empty cells. Given that 98 students responded to having both brothers and sisters, we can calculate the number of students with no brothers but with sisters and the number of students with no sisters but with brothers by subtracting 98 from the total number of students surveyed. The completed two-way frequency table shows the correct number of students in each of the three empty cells.
Step-by-step explanation:
To complete the two-way frequency table, we need to determine the number of students in each of the three empty cells. We know that 98 students responded to having both brothers and sisters. Let's label the rows as 'Brothers' (Yes or No) and the columns as 'Sisters' (Yes or No).
In the cell where the row is 'Yes' for brothers and 'Yes' for sisters, we have 98 students. This represents the students who responded to having both brothers and sisters.
In the cell where the row is 'No' for brothers and 'Yes' for sisters, we can subtract the number of students with both brothers and sisters from the total number of students surveyed (318) to find the number of students with no brothers but with sisters. So, 318 - 98 = 220.
In the cell where the row is 'Yes' for brothers and 'No' for sisters, we can use the same logic as in the previous step. So, 318 - 98 = 220.
Therefore, the completed two-way frequency table is as follows:
Yes
No
Yes
98
220
No
220