Relative Frequencies Quick Check

Question

2 of 52 of 5 Items

Question
Use the table to answer the 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

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.

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.

Answer 1

To find the relative frequencies requested in the problem, we'll use the data from the table to calculate the percentages.

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

   • 8th Grade Seacoast: 90
   • Total 8th Grade: 200
   • Relative Frequency = (90 / 200) * 100 = 45%
   • Not true; this option is incorrect.

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

   • 7th Grade Seacoast: 60
   • Total Preferring Seacoast: 150
   • Relative Frequency = (60 / 150) * 100 = 40%
   • True; this option is correct.

3. 32% of 7th-grade campers preferred the mountains:

   • 7th Grade Mountains: 40
   • Total 7th Grade: 100
   • Relative Frequency = (40 / 100) * 100 = 40%
   • Not true; this option is incorrect.

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

   • 8th Grade Mountains: 110
   • Total Preferring Mountains: 150
   • Relative Frequency = (110 / 150) * 100 = 73.3%
   • Not true; this option is incorrect.

So, the correct response is: 40% of the people who preferred the seacoast were 7th graders.