Use the table to answer the question.
Students Seacoast Mountains Totals
7th Grade 70 40 110
8th Grade 90 110 200
Totals 160 150 310
Determine the relative frequency of the percent of 7th graders who prefer mountains. Round the percentage to the nearest tenth.
(1 point)
Responses
55%
55%
36.4%
36.4%
26.7%
26.7%
40%
40%
1. 36.4%
2. 40%
3. 70.6%
4. 60%
5. 45.5%
36.4%
70.6%
60.0%
50.0%
Relative Frequencies Quick Check
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Question
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
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.
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.
Use the table to answer the question.
Carrots Peppers Totals
Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that farmers with sandy soil prefer to grow carrots? Round your answer to the nearest tenth.
(1 point)
Responses
70.6%
70.6%
54.5%
54.5%
120.0%
120.0%
41.7%
41.7%
Carrots Peppers Totals
Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that farmers with rocky soil prefer growing peppers? Round your answer to the nearest tenth.
(1 point)
Responses
66.7%
66.7%
75.0%
75.0%
150.0%
150.0%
60.0%
Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.
To determine the relative frequency of the percent of 7th graders who prefer mountains, we need to divide the number of 7th graders who prefer mountains by the total number of students in 7th grade.
According to the table, there are 70 7th graders who prefer Seacoast and 40 7th graders who prefer Mountains. The total number of 7th graders is 110.
To find the percentage of 7th graders who prefer mountains, we can use the formula:
Percentage = (Number of 7th graders who prefer Mountains / Total number of 7th graders) * 100
Plugging in the numbers:
Percentage = (40 / 110) * 100
Percentage = 0.3636 * 100
Percentage ≈ 36.4%
Therefore, the relative frequency of the percent of 7th graders who prefer mountains is approximately 36.4%. So, the correct answer is:
36.4%