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.

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.

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

Answer 1

To find the relative frequencies specified in the question, we will use the totals provided in the table. The relative frequency is typically calculated as a percentage of a subgroup in relation to the total population.

1. **90% of 8th-grade campers preferred the seacoast.**
- 8th graders preferring the seacoast: 90
- Total 8th graders: 200
- Relative frequency = (90 / 200) × 100 = 45%.
- This statement is **false**.

2. **32% of 7th-grade campers preferred the mountains.**
- 7th graders preferring the mountains: 40
- Total 7th graders: 100
- Relative frequency = (40 / 100) × 100 = 40%.
- This statement is **false**.

3. **70% of the people who preferred mountains were 8th graders.**
- 8th graders preferring the mountains: 110
- Total campers preferring mountains: 150
- Relative frequency = (110 / 150) × 100 = 73.3%.
- This statement is **approximately true** (when rounded to the nearest whole number, it is 73%).

4. **40% of the people who preferred the seacoast were 7th graders.**
- 7th graders preferring the seacoast: 60
- Total campers preferring seacoast: 150
- Relative frequency = (60 / 150) × 100 = 40%.
- This statement is **true**.

Therefore, the last statement "40% of the people who preferred the seacoast were 7th graders" is a correct relative frequency calculated from the table.