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%

76.5%
76.5%

23.5%
23.5%

17.4%

Answer 1

To find the relative frequency of 7th graders who prefer dogs, we need to calculate the proportion of 7th graders who prefer dogs out of the total number of 7th graders surveyed.

From the table:

- Number of 7th graders who prefer dogs = 8
- Number of 7th graders who prefer cats = 36
- Number of 7th graders with no preference = 2

Now, let's calculate 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

Now we can find the relative frequency of 7th graders who prefer dogs:

Relative frequency = (Number of 7th graders who prefer dogs / Total number of 7th graders) × 100%
Relative frequency = (8 / 46) × 100%

Calculating it:

Relative frequency = (0.1739130435) × 100% ≈ 17.4%

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