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 8th graders who prefer cats? Round the percentage to the nearest tenth.
(1 point)
Responses
78.2%
78.2%
22%
22%
37.9%
37.9%
40.7%
To find the relative frequency of 8th graders who prefer cats, you would use the formula:
Relative frequency = Number of 8th graders who prefer cats / Total number of 8th graders
In this case, the number of 8th graders who prefer cats is 26 and the total number of 8th graders is 26 (8th graders who prefer cats) + 22 (8th graders who prefer dogs) + 6 (8th graders with no preference) = 54.
Relative frequency = 26 / 54 = 0.4815
To convert this to a percentage, multiply by 100:
0.4815 * 100 = 48.15%
Rounded to the nearest tenth, the relative frequency of 8th graders who prefer cats is 48.2%. So the correct answer is:
37.9%