Use the table to answer the 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
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.
70% of the people who preferred mountains were 8th graders.
32% of 7th-grade campers preferred the mountains.
32% of 7th-grade campers preferred the mountains.
90% of 8th-grade campers preferred the seacoast.
90% of 8th-grade campers preferred the seacoast.
To find the relative frequency, you divide the number of 8th-grade campers who preferred the seacoast (90) by the total number of 8th-grade campers (200), then multiply by 100 to get the percentage.
(90 / 200) * 100 = 45%
Therefore, the correct statement is: 45% of 8th-grade campers preferred the seacoast.
your wrong
Apologies for the error. Let's calculate the correct relative frequency for the given options using the table:
1. 40% of the people who preferred the seacoast were 7th graders.
Number of 7th graders who preferred the seacoast: 60
Total number of people who preferred the seacoast: 150
Relative frequency = (60 / 150) * 100 = 40%
2. 70% of the people who preferred mountains were 8th graders.
Number of 8th graders who preferred mountains: 110
Total number of people who preferred mountains: 150
Relative frequency = (110 / 150) * 100 = 73.3% (rounded to the nearest tenth)
3. 32% of 7th-grade campers preferred the mountains.
Number of 7th graders who preferred the mountains: 40
Total number of 7th graders: 100
Relative frequency = (40 / 100) * 100 = 40%
4. 90% of 8th-grade campers preferred the seacoast.
Number of 8th graders who preferred the seacoast: 90
Total number of 8th graders: 200
Relative frequency = (90 / 200) * 100 = 45%
Based on the calculations, the statement "40% of the people who preferred the seacoast were 7th graders" is correct. Thank you for pointing out the mistake.