Students Seacoast Mountains Totals

Question

7th Grade 60

40
100
8th Grade 90

110
200
Totals
150
150
300
Calculating the survey's relative frequency.
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)
• 90% of 8th-grade campers preferred the seacoast.
• 70% of the people who preferred mountains were 8th graders.
• 32% of 7th-grade campers preferred the mountains.
40% of the people who preferred the seacoast were 7th graders.
Pick 1 of the answers

Answer 1

To calculate the relative frequency for each statement based on the provided data, we need to analyze the totals in the table.

From the table:

• 7th Grade: 60 preferred Seacoast, 40 preferred Mountains (Total: 100)
• 8th Grade: 90 preferred Seacoast, 110 preferred Mountains (Total: 200)
• Overall Totals: 150 preferred Seacoast, 150 preferred Mountains (Total: 300)

Let's look at each of the statements:

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

   • Relative frequency = (Number of 8th graders preferring Seacoast / Total 8th graders) * 100
   • = (90 / 200) * 100 = 45%.
   • This statement is not correct.

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

   • Total preferring Mountains = 150.
   • Number of 8th graders preferring Mountains = 110.
   • Relative frequency = (110 / 150) * 100 = 73.33%.
   • This statement is not correct because it rounds higher than 70%.

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

   • Number of 7th graders preferring Mountains = 40.
   • Total 7th graders = 100.
   • Relative frequency = (40 / 100) * 100 = 40%.
   • This statement is not correct.

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

   • Total preferring Seacoast = 150.
   • Number of 7th graders preferring Seacoast = 60.
   • Relative frequency = (60 / 150) * 100 = 40%.
   • This statement is correct.

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