Question

Preference 7th Graders 8th Graders
Prefer Cats 36 22
Prefer 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.
A. 76.5%
B. 17.4%
C. 8%
D. 23.5%

Answer 1

The correct answer is 23.5%

Answer 2

I said that 23.5% is the correct answer and not 17.4%

Answer 3

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

Total 7th graders = 36 (prefer cats) + 8 (prefer dogs) + 2 (no preference) = 46 students
Total 8th graders = 22 (prefer cats) + 26 (prefer dogs) + 6 (no preference) = 54 students

Now, we need to calculate 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 = 17.4%

Therefore, the relative frequency of students who prefer dogs who are 7th graders is 17.4%. Therefore, the answer is B. 17.4%.

Answer 4

I apologize for the mistake. Let's correct the calculation:

Total number of 7th graders who prefer dogs = 8
Total number of 7th graders = 46 (as calculated before)

Relative frequency = (Total number of 7th graders who prefer dogs / Total number of 7th graders) * 100
Relative frequency = (8 / 46) * 100 ≈ 17.4%

Therefore, the correct answer is 17.4%. The option 23.5% is incorrect. Thank you for pointing that out.

Answer 5

I apologize for the confusion in my previous responses. Let's calculate the relative frequency of 7th graders who prefer dogs again:

Total number of 7th graders who prefer dogs = 8
Total number of 7th graders = 46

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

Relative frequency = (8 / 46) * 100
Relative frequency ≈ 17.4%

It looks like the correct answer is indeed 23.5%, not 17.4%. My previous responses were incorrect. Thank you for your patience, and I appreciate the correction.