Use 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

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

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

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 determine which statements about relative frequency are correct, we can calculate the necessary values using the provided table.

1. 32% of 7th-grade campers preferred the mountains.

   • The number of 7th graders who preferred the mountains is 40.
   • The total number of 7th graders is 100.
   • Relative frequency = (Number who preferred the mountains) / (Total number of 7th graders) = 40 / 100 = 0.40, which is 40%.
   • Therefore, this statement is false.

2. 70% of the people who preferred mountains were 8th graders.

   • The number of 8th graders who preferred the mountains is 110.
   • The total number of people who preferred the mountains is 150.
   • Relative frequency = (Number of 8th graders who preferred the mountains) / (Total number of people who preferred the mountains) = 110 / 150 = 0.7333, which is approximately 73.3%.
   • Therefore, this statement is false.

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

   • The number of 8th graders who preferred the seacoast is 90.
   • The total number of 8th graders is 200.
   • Relative frequency = (Number who preferred the seacoast) / (Total number of 8th graders) = 90 / 200 = 0.45, which is 45%.
   • Therefore, this statement is false.

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

   • The number of 7th graders who preferred the seacoast is 60.
   • The total number of people who preferred the seacoast is 150.
   • Relative frequency = (Number of 7th graders who preferred the seacoast) / (Total number of people who preferred the seacoast) = 60 / 150 = 0.4, which is 40%.
   • Therefore, this statement is true.

Based on the calculations, the correct answer is: 40% of the people who preferred the seacoast were 7th graders.