Use the table to answer the question.

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

40%
40%

26.7%
26.7%

55%
55%

36.4%

Answer 1

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

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

From the table:

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

Now substitute the values into the formula:

\[ \text{Relative Frequency} = \left( \frac{40}{110} \right) \times 100 \approx 36.36% \]

Rounding to the nearest tenth, this becomes:

\[ 36.4% \]

Therefore, the answer is 36.4%.