Question

Question
Use the table to answer the 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

8%
8%

17.4%
17.4%

23.5%
23.5%

76.5%

Answer 1

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

From the table:

- 7th Graders who prefer Dogs: 8
- 7th Graders who prefer Cats: 36
- 7th Graders with No Preference: 2

Now, let's find the total number of 7th graders:

Total 7th Graders = 7th Graders who prefer Cats + 7th Graders who prefer Dogs + 7th Graders with No Preference
Total 7th Graders = 36 + 8 + 2 = 46

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

Relative Frequency = (Number of 7th Graders who prefer Dogs) / (Total Number of 7th Graders)
Relative Frequency = 8 / 46

Now, we can convert this to a percentage:

Relative Frequency Percentage = (8 / 46) * 100 ≈ 17.39%

Rounding to the nearest tenth, we get approximately 17.4%.

Thus, the correct answer is:

**17.4%**