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

8%
8%

17.4%
17.4%

76.5%
76.5%

23.5%
23.5%
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Answer 1

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

From the table:

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

Total number of 7th graders = 36 (cats) + 8 (dogs) + 2 (no preference) = 46

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

Number of 7th graders who prefer dogs = 8

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

Relative frequency = (8 / 46) × 100 ≈ 17.3913%

Rounding this to the nearest tenth gives us approximately 17.4%.

Thus, the correct response is: 17.4%