Use the table to answer the question.

Question

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

76.5%
76.5%

23.5%
23.5%

8%
8%

17.4%

Answer 1

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

From the table:

• Number of 7th graders who prefer dogs = 8
• Total number of 7th graders = Number who prefer cats + Number who prefer dogs + Number with no preference = 36 + 8 + 2 = 46

Now we can calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of 7th graders who prefer dogs}}{\text{Total number of 7th graders}} = \frac{8}{46} \approx 0.173913 \]

To express this as a percentage, we multiply by 100:

\[ 0.173913 \times 100 \approx 17.4% \]

Thus, the relative frequency of students who prefer dogs and are 7th graders is 17.4%.

The correct answer is: 17.4%