Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Janie 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
\begin{tabular}{|c|c|c|c|c|c|}
\hline & 0 pets & 1 pet & 2 pets & \begin{tabular}{c}
More than 2 \\
pets
\end{tabular} & Total \\
\hline Boys & 8 & 4 & 3 & 0 & 15 \\
\hline Girls & 7 & 6 & 5 & 2 & 20 \\
\hline Total & 15 & 10 & 8 & 2 & 35 \\
\hline
\end{tabular}

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

A. The survey represents quantitative data.
B. There is a greater percentage of girls who do not own a pet than boys who do not own a pet.
C. The total number of girls who own 2 or more pets is 2.
D. More girls do not own a pet than do own a pet.


Sagot :

Let's evaluate each statement based on the given data and analysis.

1. The survey represents quantitative data.

- The data represents the number of pets each student has, which is quantitative data (data that can be counted or measured).
- This statement is true.

2. There is a greater percentage of girls who do not own a pet than boys who do not own a pet.

- To find the percentage of boys who do not own a pet:
[tex]\[ \text{Percentage of boys with no pets} = \left(\frac{8}{15}\right) \times 100 \approx 53.33\% \][/tex]
- To find the percentage of girls who do not own a pet:
[tex]\[ \text{Percentage of girls with no pets} = \left(\frac{7}{20}\right) \times 100 = 35\% \][/tex]
- Comparing these percentages, [tex]\(53.33\% > 35\%\)[/tex].
- This statement is false.

3. The total number of girls who own 2 or more pets is 2.

- Looking at the table, we see 5 girls have 2 pets, and 2 girls have more than 2 pets.
- Therefore, the total number of girls who own 2 or more pets is [tex]\(5 + 2 = 7\)[/tex].
- This statement is false.

4. More girls do not own a pet than do own a pet.

- According to the table, 7 girls do not own a pet.
- The total number of girls is 20, thus the number of girls who own a pet is [tex]\(20 - 7 = 13\)[/tex].
- Since 13 girls own a pet and 7 girls do not, more girls own a pet than do not.
- This statement is false.

Given this analysis, the only true statement about the two-way frequency table is:

- The survey represents quantitative data.