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)
Answers
GPT 3.5
To find the relative frequency of 7th graders who prefer dogs, we need to divide the number of 7th graders who prefer dogs by the total number of 7th graders:
Relative frequency of 7th graders who prefer dogs = (Number of 7th graders who prefer dogs) / (Total number of 7th graders)
Relative frequency of 7th graders who prefer dogs = 8 / (36 + 8 + 2)
Relative frequency of 7th graders who prefer dogs = 8 / 46
Relative frequency of 7th graders who prefer dogs ≈ 0.1739
To convert this to a percentage, we multiply by 100:
Relative frequency of 7th graders who prefer dogs ≈ 17.4%
Therefore, the relative frequency of students who prefer dogs who are 7th graders is approximately 17.4%.
Relative frequency of 7th graders who prefer dogs = (Number of 7th graders who prefer dogs) / (Total number of 7th graders)
Relative frequency of 7th graders who prefer dogs = 8 / (36 + 8 + 2)
Relative frequency of 7th graders who prefer dogs = 8 / 46
Relative frequency of 7th graders who prefer dogs ≈ 0.1739
To convert this to a percentage, we multiply by 100:
Relative frequency of 7th graders who prefer dogs ≈ 17.4%
Therefore, the relative frequency of students who prefer dogs who are 7th graders is approximately 17.4%.