Let's analyze each statement in relation to the data provided and determine the accuracy of each:
1. The survey represents quantitative data.
- The survey data reflects the number of pets in students' households, which is a numerical value. Therefore, it represents quantitative data.
2. There is a greater percentage of girls who do not own a pet than boys who do not own a pet.
- We can determine the validity of this statement by calculating the percentages.
- Percentage of boys who do not own a pet:
- Number of boys with no pets: 8
- Total number of boys: 15
- Percentage = (8 / 15) 100 = 53.33%
- Percentage of girls who do not own a pet:
- Number of girls with no pets: 7
- Total number of girls: 20
- Percentage = (7 / 20) 100 = 35%
- Clearly, the percentage of boys who do not own a pet (53.33%) is greater than the percentage of girls who do not own a pet (35%). Therefore, this statement is false.
3. The total number of girls who own 2 or more pets is 2.
- To verify this, we sum the number of girls who own 2 pets and those who own more than 2 pets:
- Girls with 2 pets: 5
- Girls with more than 2 pets: 2
- Total = 5 + 2 = 7
- The actual total is 7, not 2. Therefore, this statement is false.
4. More girls do not own a pet than do own a pet.
- To verify this, we compare the number of girls with no pets to those who own at least one pet:
- Number of girls with no pets: 7
- Number of girls with pets (1 pet, 2 pets, or more than 2 pets):
- 6 + 5 + 2 = 13
- Clearly, there are more girls who own pets (13) than those who do not own any pets (7). Therefore, this statement is false.
In conclusion, the only true statement among the given options is:
- The survey represents quantitative data.
