Question

janle asked all of her classmates about the number of pets they have in their household. her findings are shown in the table.
number of pets in students households

	0 pets	1 pet	2 pets	more than 2 pets	total
girls	7	6	5	2	20
total	15	10	8	2	35

which statement about the two - way frequency table is true?

• the survey represents quantitative data.
• there is a greater percentage of girls who do not own a pet than boys who do not own a pet.
• the total number of girls who own 2 or more pets is 2.
• more girls do not own a pet than do own a pet.

Explanation:

1. Analyze Option 1: Quantitative data is numerical and measurable. The survey counts pet numbers, which is quantitative, but we check other options to confirm.
2. Analyze Option 2: Calculate percentage of boys with 0 pets: $\frac{8}{15} \times 100 \approx 53.3\%$. Percentage of girls with 0 pets: $\frac{7}{20} \times 100 = 35\%$. Boys have a higher percentage, so this is false.
3. Analyze Option 3: Girls with 2 pets: 5, girls with more than 2 pets: 2. Total with 2 or more: $5+2=7$, not 2. This is false.
4. Analyze Option 4: Girls who do not own a pet: 7. Girls who own a pet: $20-7=13$. 7 is less than 13, so this is false.
5. Confirm Option 1: The data consists of numerical counts of pets, which fits the definition of quantitative data.

Answer:

The survey represents quantitative data.