Use the table to answer the question.

Question

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

36.4%
36.4%

55%
55%

26.7%
26.7%

40%
40%
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Answer 1

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

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

From the table:

• The number of 7th graders who prefer mountains = 40
• The total number of 7th graders = 110

Now, we can calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{40}{110} \approx 0.363636 \]

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

\[ \text{Percentage} = 0.363636 \times 100 \approx 36.3636% \]

Rounding to the nearest tenth gives us:

\[ \text{Rounded Percentage} \approx 36.4% \]

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