Answered

Janie asked all of her classmates about the number of pets they have in their household. Her findings are shown in the table below.

Number of Pets in Students' Households

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

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.



Answer :

GinnyAnswer
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.

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