Answer :
Let's analyze the given statements one by one in the context of the survey data.
### Step-by-Step Analysis:
Statement 1: Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
- According to the table, the number of children who do not have a pet and have 2 siblings is 15, not 18.
- Therefore, this statement is false.
Statement 2: Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
- The table shows that 40 children who do not have a pet have 1 sibling.
- This statement is accurate based on the table data.
- Therefore, this statement is true.
Statement 3: Out of the 125 children who do not have any siblings, 34 of them have a pet.
- The table states that out of children who have pets, 34 of them do not have any siblings.
- Therefore, this statement is true.
Statement 4: Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
- Reviewing the table, 40 children who do not have a pet have 1 sibling.
- This is in accordance with the surveyed data.
- Therefore, this statement is true.
### Conclusion:
Based on the survey data analysis:
- Statement 1 is false.
- Statements 2, 3, and 4 are true.
Thus, the correct determinable statements must be: True for Statements 2, 3, and 4, while Statement 1 is false.
### Step-by-Step Analysis:
Statement 1: Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
- According to the table, the number of children who do not have a pet and have 2 siblings is 15, not 18.
- Therefore, this statement is false.
Statement 2: Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
- The table shows that 40 children who do not have a pet have 1 sibling.
- This statement is accurate based on the table data.
- Therefore, this statement is true.
Statement 3: Out of the 125 children who do not have any siblings, 34 of them have a pet.
- The table states that out of children who have pets, 34 of them do not have any siblings.
- Therefore, this statement is true.
Statement 4: Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
- Reviewing the table, 40 children who do not have a pet have 1 sibling.
- This is in accordance with the surveyed data.
- Therefore, this statement is true.
### Conclusion:
Based on the survey data analysis:
- Statement 1 is false.
- Statements 2, 3, and 4 are true.
Thus, the correct determinable statements must be: True for Statements 2, 3, and 4, while Statement 1 is false.