Question

Use the table to answer the question.

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 percentage of 7th graders who prefer mountains. Round the percentage to the nearest tenth.

A. 36.4%
B. 26.7%
C. 40%
D. 55%

Answer 1

To find the proportion of seventh-graders who favor mountains, we need to calculate the relative frequency of seventh-graders who prefer mountains.

From the table provided:

- Number of 7th graders who favor mountains: 40
- Total number of 7th graders: 110

To calculate the proportion, we can use the formula:

\[
\text{Proportion} = \frac{\text{Number of 7th graders who favor mountains}}{\text{Total number of 7th graders}} = \frac{40}{110}
\]

Now, performing the division:

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

To convert this proportion into a percentage, we multiply by 100:

\[
0.3636 \times 100 \approx 36.36\%
\]

Rounding this to the nearest tenth gives us 36.4%.

Thus, the answer is:

**A. 36.4%**