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

(1 point)
Responses

55%
55%

26.7%
26.7%

40%
40%

36.4%

Answer 1

To determine the relative frequency of the seventh-graders who favor mountains, you would use the formula:

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

From the table, the number of 7th graders who favor mountains is 40, and the total number of 7th graders is 110.

Now, substituting the values into the formula:

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

Calculating that gives:

\[
\text{Relative Frequency} = \frac{40}{110} \approx 0.3636
\]

Multiplying by 100 to get a percentage:

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

Rounding to the nearest tenth gives:

\[
36.4\%
\]

Thus, the relative frequency of the percent of 7th graders who prefer mountains is **36.4%**.