Students Seacoast Mountains Totals

Question

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

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

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.

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

Answer 1

To determine the relative frequencies from the given table, we can analyze each statement one by one.

1. 90% of 8th-grade campers preferred the seacoast.

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

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

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

3. 40% of the people who preferred the seacoast were 7th graders.

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

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

   • Total campers who preferred mountains = 150
   • 8th graders who preferred mountains = 110
   • Relative frequency = (110 / 150) * 100 = 73.3%
   • This statement is correct but needs to be rounded.

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