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

26.7%
26.7%

40%
40%

55%
55%

36.4%
36.4%

Answer 1

To determine the relative frequency of the seventh graders who prefer mountains, we can use the data provided in the table.

The number of seventh graders who favor mountains is 40, and the total number of seventh graders is 110. The relative frequency can be calculated as follows:

$$\text{Relative Frequency}=\frac{\text{Number of 7th graders who favor mountains}}{\text{Total number of 7th graders}}=\frac{40}{110}$$

Now we perform the calculation:

$$\frac{40}{110}\approx 0.3636$$

To convert this to a percentage, we multiply by 100:

$$0.3636\times 100\approx 36.36$$

Rounding to the nearest tenth gives us:

$$36.4$$

Thus, the answer is:

36.4%