Question

What is the relative frequency of 8th graders who prefer cats? Round the percentage to the nearest tenth
Preference. 7th grade. 8th graders
Prefers cats. 36. 22
Prefers dogs 8. 26
No preference. 2. 6
78.2%
22%
40.7%
37.9%

Answer 1

To find the relative frequency of 8th graders who prefer cats, we need to calculate the percentage of 8th graders preferring cats out of the total number of 8th graders surveyed.

First, we sum the number of 8th graders in each preference category:

- Prefers cats: 22
- Prefers dogs: 26
- No preference: 6

Total number of 8th graders = 22 + 26 + 6 = 54

Next, we calculate the relative frequency of 8th graders who prefer cats:

\[
\text{Relative frequency} = \left( \frac{\text{Number of 8th graders who prefer cats}}{\text{Total number of 8th graders}} \right) \times 100
\]

\[
\text{Relative frequency} = \left( \frac{22}{54} \right) \times 100 \approx 40.7407\%
\]

Rounding to the nearest tenth, the relative frequency of 8th graders who prefer cats is approximately **40.7%**.

So, the answer is **40.7%**.