This table displays the number of 7th and 8th grade students who prefer either dogs or cats.

Question

Preference 7th Graders 8th Graders
Prefers Cats 36 22
Prefers Dogs 8 26
No Preference 2 6
What is the relative frequency of students who prefer dogs who are 7th graders? Round the percentage to the nearest tenth.

(1 point)
Responses

23.5%
23.5%

76.5%
76.5%

17.4%
17.4%

8%

Answer 1

To find the relative frequency of 7th graders who prefer dogs, we first need to know the total number of 7th graders.

From the table:

• Number of 7th graders who prefer cats: 36
• Number of 7th graders who prefer dogs: 8
• Number of 7th graders with no preference: 2

Now, we can calculate the total number of 7th graders:

\[ \text{Total 7th Graders} = 36 \text{ (cats)} + 8 \text{ (dogs)} + 2 \text{ (no preference)} = 46 \]

Next, we find the relative frequency of 7th graders who prefer dogs:

\[ \text{Relative Frequency} = \frac{\text{Number of 7th Graders who prefer dogs}}{\text{Total Number of 7th Graders}} \]

Substituting in the values:

\[ \text{Relative Frequency} = \frac{8}{46} \]

Now, let's calculate that:

\[ \frac{8}{46} \approx 0.1739 \]

To find the percentage:

\[ 0.1739 \times 100 \approx 17.39% \]

Rounding to the nearest tenth, we get:

17.4%

So, the correct response is:

17.4%