To find the relative frequency of 7th graders who prefer dogs, we first need to determine the total number of 7th graders surveyed.
From the table:
- 7th graders who prefer cats: 36
- 7th graders who prefer dogs: 8
- 7th graders with no preference: 2
Calculating the total number of 7th graders: \[ \text{Total 7th Graders} = 36 + 8 + 2 = 46 \]
Next, we calculate the relative frequency of the 7th graders who prefer dogs: \[ \text{Relative frequency} = \frac{\text{Number of 7th graders who prefer dogs}}{\text{Total number of 7th graders}} \] \[ \text{Relative frequency} = \frac{8}{46} \]
Now we perform the division: \[ \frac{8}{46} \approx 0.1739 \]
To express this as a percentage, we multiply by 100: \[ 0.1739 \times 100 \approx 17.39% \]
Rounding to the nearest tenth gives us: \[ 17.4% \]
Therefore, the relative frequency of students who prefer dogs who are 7th graders is 17.4%.