Determining the proportion of seventh-graders who favor mountains. Students Seacoast Mountains Totals 7th Grade 70 40 110 8th Grade 90 110 200 Totals 160 150 310 Determine the relative frequency of the percent of 7th graders who prefer mountains. Round the percentage to the nearest tenth.

Question

1. 40%
2. 55%
3. 36.4%
4. 26.7%

Answer 1

To determine the relative frequency of the percentage of 7th graders who prefer mountains, we can use the following formula:

\[ \text{Relative frequency} = \frac{\text{Number of 7th graders who favor mountains}}{\text{Total number of 7th graders}} \times 100 \]

From the provided data:

• Number of 7th graders who favor mountains = 40
• Total number of 7th graders = 110

Now we can calculate:

\[ \text{Relative frequency} = \frac{40}{110} \times 100 \]

Calculating \( \frac{40}{110} \):

\[ \frac{40}{110} \approx 0.3636 \]

Now, multiplying by 100 to convert to a percentage:

\[ 0.3636 \times 100 \approx 36.36 \]

Rounding this to the nearest tenth gives us 36.4%.

Thus, the answer is:

3. 36.4%