Use the table to answer the question.

Question

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

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

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

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

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

Answer 1

To find the relative frequency, you need to divide the number of people in a specific category by the total number of people surveyed and then convert it to a percentage.

A. To find the percentage of 7th graders who preferred the seacoast, you divide the number of 7th graders who preferred the seacoast (60) by the total number of people surveyed (300): 60/300 = 0.2. Then, multiply this result by 100 to convert it to a percentage: 0.2 * 100 = 20%. So, the correct answer is not A.

B. To find the percentage of 7th-grade campers who preferred the mountains, you divide the number of 7th-grade campers who preferred the mountains (40) by the total number of 7th-grade campers (100): 40/100 = 0.4. Then, multiply this result by 100 to convert it to a percentage: 0.4 * 100 = 40%. So, the correct answer is B.

C. To find the percentage of 8th-grade campers who preferred the seacoast, you divide the number of 8th-grade campers who preferred the seacoast (90) by the total number of 8th-grade campers (200): 90/200 = 0.45. Then, multiply this result by 100 to convert it to a percentage: 0.45 * 100 = 45%. So, the correct answer is not C.

D. To find the percentage of people who preferred mountains and were 8th graders, you divide the number of 8th graders who preferred mountains (110) by the total number of people who preferred mountains (150): 110/150 ≈ 0.733. Then, multiply this result by 100 to convert it to a percentage: 0.733 * 100 ≈ 73.3%. So, the correct answer is not D.

Therefore, the relative frequency that can be found with the table is B. 32% of 7th-grade campers preferred the mountains.