Question

jvran asked all of her classmates about the number of pets they have in their household her findings the table
number of pets in students households
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:

Step1: Analyze the data type

Quantitative data is numerical data that can be measured. The data in the table (number of pets) is numerical, so the survey represents quantitative data.

Step2: Check the percentage of girls and boys who do not own a pet

The percentage of boys who do not own a pet is \(\frac{8}{15}\approx 0.533\) or \(53.3\%\). The percentage of girls who do not own a pet is \(\frac{7}{20} = 0.35\) or \(35\%\). So, the statement "There is a greater percentage of girls who do not own a pet than boys who do not own a pet" is false.

Step3: Calculate the total number of girls who own 2 or more pets

The number of girls who own 2 pets is 5 and who own more than 2 pets is 2. So, the total number of girls who own 2 or more pets is \(5 + 2=7
eq2\). So, the statement "The total number of girls who own 2 or more pets is 2" is false.

Step4: Compare the number of girls who own a pet and who do not own a pet

The number of girls who do not own a pet is 7. The number of girls who own a pet is \(6 + 5+ 2=13\). So, the statement "More girls do not own a pet than do own a pet" is false.

Answer:

The survey represents quantitative data.