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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

40.7%
40.7%

37.9%
37.9%

22%
22%

78.2%

1 answer

To find the relative frequency of 8th graders who prefer cats, we first need to determine the total number of 8th graders surveyed.

From the table:

  • 8th Graders who prefer Cats: 22
  • 8th Graders who prefer Dogs: 26
  • 8th Graders with No Preference: 6

Now, we can calculate the total number of 8th graders:

Total 8th Graders = 22 (prefer Cats) + 26 (prefer Dogs) + 6 (No Preference) = 54

Next, we calculate the relative frequency of 8th graders who prefer cats by dividing the number of 8th graders who prefer cats by the total number of 8th graders:

Relative Frequency = Number of 8th Graders who prefer Cats / Total Number of 8th Graders
Relative Frequency = 22 / 54

Now, we calculate this value and convert it into a percentage:

Relative Frequency = (22 / 54) × 100 ≈ 40.74074%

Rounding to the nearest tenth, we get:

Relative Frequency ≈ 40.7%

Therefore, the answer is:

40.7%