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

\begin{tabular}{|c|c|c|c|c|c|}
\hline & 0 pets & 1 pet & 2 pets & More than 2 pets & 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 :

GinnyAnswer
Let's examine the statements one by one, based on the data and results provided.

### 1. The survey represents quantitative data.

This statement is false. The survey collects categorical data about the number of pets in students' households. The number of pets is a discrete, countable quantity, which is considered categorical rather than quantitative.

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

To determine this, we need to calculate the percentages of boys and girls who do not own a pet.

- Boys who do not own a pet:
- Number of boys who do not own a pet = 8
- Total number of boys = 15
- Percentage of boys who do not own a pet = [tex]\(\frac{8}{15} \times 100 \approx 53.33\%\)[/tex]

- Girls 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 = [tex]\(\frac{7}{20} \times 100 = 35.0\%\)[/tex]

Comparing these percentages:
- Percentage of boys who do not own a pet = 53.33%
- Percentage of girls who do not own a pet = 35.0%

Since 53.33% (boys) is greater than 35.0% (girls), there is not a greater percentage of girls who do not own a pet compared to boys. Therefore, this statement is false.

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

Let's calculate the number of girls who own 2 or more pets:
- Girls with exactly 2 pets = 5
- Girls with more than 2 pets = 2
- Total number of girls who own 2 or more pets = 5 + 2 = 7

The statement that the total number of girls who own 2 or more pets is 2 is false.

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

To verify this, let's compare the number of girls who do not own a pet with the number who do:
- Number of girls who do not own a pet = 7
- Number of girls who own at least one pet = 20 - 7 = 13

Since 7 is less than 13, more girls own at least one pet than do not own any. Therefore, this statement is false.

### Conclusion

Based on the data analysis, none of the proposed statements about the two-way frequency table is true.
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