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.

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

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

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

Answer 1

To calculate the relative frequency for each statement, we can use the data provided in the table.

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

   • The number of 7th-graders who preferred the mountains is 40.
   • Total number of 7th graders = 100.
   • Relative frequency = (40/100) * 100% = 40%.
   • This statement is incorrect.

2. 40% of the people who preferred the seacoast were 7th graders.

   • The total number of campers who preferred the seacoast = 150.
   • The number of 7th graders who preferred the seacoast is 60.
   • Relative frequency = (60/150) * 100% = 40%.
   • This statement is correct.

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

   • The number of 8th-graders who preferred the seacoast is 90.
   • Total number of 8th graders = 200.
   • Relative frequency = (90/200) * 100% = 45%.
   • This statement is incorrect.

4. 70% of the people who preferred mountains were 8th graders.

   • The total number of campers who preferred the mountains = 150.
   • The number of 8th-graders who preferred the mountains is 110.
   • Relative frequency = (110/150) * 100% = 73.3%, which rounds to 73.3%, not 70%.
   • This statement is incorrect.

Conclusion: The correct relative frequency is: 40% of the people who preferred the seacoast were 7th graders.