To address the statements about the two-way frequency table, let's go through each one step-by-step to determine its validity:
1. The survey represents quantitative data.
- This statement is False. The survey deals with categorical data. It categorizes children based on the number of pets they have (0 pets, 1 pet, etc.), but does not measure numerical quantities associated with a continuous variable.
2. There is a greater percentage of girls who do not own a pet than boys who do not own a pet.
- To evaluate this, we first find out the percentage of girls who do not own a pet and the percentage of boys who do not own a pet.
- Number of girls who do not own a pet: 7
- Total number of girls: 20
- Percentage of girls who do not own a pet = (7/20) 100 = 35.0%
- Number of boys who do not own a pet: 8
- Total number of boys: 15
- Percentage of boys who do not own a pet = (8/15) 100 ≈ 53.33%
Comparing these percentages:
- Percentage of girls who do not own a pet: 35.0%
- Percentage of boys who do not own a pet: 53.33%
Based on these percentages, it is clear that it is False that a greater percentage of girls do not own a pet compared to boys.
3. The total number of girls who own 2 or more pets is 2.
- According to the table:
- Number of girls who own 2 pets: 5
- Number of girls who own more than 2 pets: 2
- Total number of girls who own 2 or more pets = 5 + 2 = 7
Therefore, this statement is False.
4. More girls do not own a pet than do own a pet.
- To determine this, compare the number of girls without pets to the number of girls with at least 1 pet:
- Number of girls without pets: 7
- Number of girls with pets: 20 - 7 = 13
Since 7 < 13, this statement is False.
Thus, given these evaluations, none of the statements are true based on the information provided in the two-way frequency table.
