Use the table to answer the question.
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
17.4%
17.4%
76.5%
76.5%
8%
8%
23.5%
To find the relative frequency of students who prefer dogs who are 7th graders, we need to divide the number of 7th graders who prefer dogs by the total number of 7th graders:
Relative frequency of students who prefer dogs who are 7th graders = (8/46) * 100
Calculating this, we get:
Relative frequency of students who prefer dogs who are 7th graders = 17.4%
Therefore, the answer is 17.4%.
To find the relative frequency of students who prefer dogs who are 7th graders, we need to divide the number of 7th graders who prefer dogs by the total number of students who prefer dogs.
From the table, we see that the number of 7th graders who prefer dogs is 8.
The total number of students who prefer dogs is the sum of 8th graders who prefer dogs and 7th graders who prefer dogs, which is 26 + 8 = 34.
To find the relative frequency, we divide 8 by 34 and multiply by 100 to convert it to a percentage:
(8 / 34) * 100 = 23.5%
Therefore, the relative frequency of students who prefer dogs that are 7th graders is 23.5%.
To find the relative frequency of students who prefer dogs among 7th graders, you need to divide the number of 7th graders who prefer dogs by the total number of 7th graders.
In the table, it shows that there are 8 7th graders who prefer dogs. To find the total number of 7th graders, you need to add up the number of 7th graders who prefer cats, dogs, and have no preference.
7th graders who prefer cats: 36
7th graders who prefer dogs: 8
7th graders with no preference: 2
Now you add them up:
36 + 8 + 2 = 46
So, the total number of 7th graders is 46.
Next, you divide the number of 7th graders who prefer dogs (8) by the total number of 7th graders (46) and multiply by 100 to get the percentage:
(8 / 46) * 100 ≈ 17.4%
Therefore, the relative frequency of students who prefer dogs among 7th graders is 17.4%.