To determine which statement about the two-way frequency table is true, we need to carefully analyze the given data. Let's go through each statement one by one in the context of the provided data:
1. The majority of boys have 0 pets.
- From the table, the distribution of the number of pets for boys is as follows:
- 0 pets: 8 boys
- 1 pet: 4 boys
- 2 pets: 3 boys
- More than 2 pets: 0 boys
- By comparing these numbers, we see that the largest number of boys, specifically 8, have 0 pets.
- Therefore, this statement is true.
2. The majority of girls have 1 pet.
- From the table, the distribution of the number of pets for girls is as follows:
- 0 pets: 7 girls
- 1 pet: 6 girls
- 2 pets: 5 girls
- More than 2 pets: 2 girls
- Comparing these numbers, 7 girls have 0 pets, which is greater than the number of girls in any other category.
- Therefore, this statement is false as the majority of girls have 0 pets, not 1 pet.
3. The majority of students have 0 pets.
- From the table, the overall distribution of the number of pets for all students is as follows:
- 0 pets: 15 students
- 1 pet: 10 students
- 2 pets: 8 students
- More than 2 pets: 2 students
- By comparing these numbers, 15 students have 0 pets, which is the highest compared to the other categories.
- Therefore, this statement is true.
4. The majority of students have more than 2 pets.
- From the table, the distribution of the number of pets for all students with more than 2 pets is as follows:
- More than 2 pets: 2 students
- The number of students with more than 2 pets (2 students) is much lower than the number in any other category.
- Therefore, this statement is false.
After evaluating all the statements, we find that the true statement is:
The majority of boys have 0 pets.
