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%

23.5%
23.5%

76.5%
76.5%

17.4%
17.4%
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Answer 1

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

From the table, we see the following for 7th graders:

• Prefers Cats: 36
• Prefers Dogs: 8
• No Preference: 2

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

Total 7th graders = Prefers Cats + Prefers Dogs + No Preference Total 7th graders = 36 + 8 + 2 = 46

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

Number of 7th graders who prefer dogs = 8

Now, 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

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

Relative frequency percentage = (8 / 46) × 100 ≈ 17.39%

Rounding to the nearest tenth gives us:

17.4%

So the answer is 17.4%.