janie asked all of her classmates about the number of pets they have in their household. her findings are…
janie asked all of her classmates about the number of pets they have in their household. her findings are shown in the table.\nnumber of pets in students’ households\n| |0 pets|1 pet|2 pets|more than 2 pets|total|\n|----|----|----|----|----|----|\n|boys|8|4|3|0|15|\n|girls|7|6|5|2|20|\n|total|15|10|8|2|35|\nwhich statement about the two - way frequency table is true?\nthe survey represents quantitative data.\nthere is a greater percentage of girls who do not own a pet than boys who do not own a pet.\nthe total number of girls who own 2 or more pets is 2.\nmore girls do not own a pet than do own a pet.
Answer
Explanation:
Step1: Analyze quantitative - qualitative data
Quantitative data is numerical and can be measured or counted. Here, data about number of pets is quantitative. But we need to check other statements too.
Step2: Calculate percentage of non - pet - owning boys and girls
Percentage of boys with 0 pets: $\frac{8}{15}\times100%\approx53.33%$. Percentage of girls with 0 pets: $\frac{7}{20}\times100% = 35%$. So, there is not a greater percentage of girls who do not own a pet than boys.
Step3: Calculate number of girls with 2 or more pets
Number of girls with 2 or more pets is $5 + 2=7\neq2$.
Step4: Calculate number of girls with and without pets
Number of girls with 0 pets is 7. Number of girls with pets is $6 + 5+2=13$. So, more girls own a pet than do not own a pet.
Answer:
The survey represents quantitative data.