se the table to answer the question.

Question

Calculating the survey's relative frequency.
Students Seacoast Mountains Totals
7th Grade 60 40 100
8th Grade 90 110 200
Totals 150 150 300
Gloria surveyed all of the campers to determine their preferred field trip. The results are displayed in the table. Which of the following is a relative frequency that can be found with the table? Round the percentage to the nearest tenth.

(1 point)
Responses

70% of the people who preferred mountains were 8th graders.
70% of the people who preferred mountains were 8th graders.

32% of 7th-grade campers preferred the mountains.
32% of 7th-grade campers preferred the mountains.

90% of 8th-grade campers preferred the seacoast.
90% of 8th-grade campers preferred the seacoast.

40% of the people who preferred the seacoast were 7th graders.
40% of the people who preferred the seacoast were 7th graders.

Answer 1

To find the relative frequencies from the table, we can calculate the percentages based on the provided data.

1. 70% of the people who preferred mountains were 8th graders.

   • Total people who preferred mountains: 150 (from the totals).
   • 8th graders who preferred mountains: 110.
   • Relative frequency = \( \frac{110}{150} \times 100 = 73.3% \) (approx 73.3%).

2. 32% of 7th-grade campers preferred the mountains.

   • Total 7th graders: 100.
   • 7th graders who preferred mountains: 40.
   • Relative frequency = \( \frac{40}{100} \times 100 = 40% \) (clearly not 32%).

3. 90% of 8th-grade campers preferred the seacoast.

   • Total 8th graders: 200.
   • 8th graders who preferred the seacoast: 90.
   • Relative frequency = \( \frac{90}{200} \times 100 = 45% \) (not 90%).

4. 40% of the people who preferred the seacoast were 7th graders.

   • Total people who preferred seacoast: 150.
   • 7th graders who preferred the seacoast: 60.
   • Relative frequency = \( \frac{60}{150} \times 100 = 40% \) (this matches).

Based on the calculations:

• The first option (70%) is closest but not exactly correct.
• The second option (32%) is incorrect.
• The third option (90%) is incorrect.
• The fourth option (40%) is correct.

Thus, the answer is 40% of the people who preferred the seacoast were 7th graders.