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
36.4%
36.4%
40%
40%
26.7%
26.7%
55%
To determine the relative frequency of the percent of 7th graders who prefer mountains, we need to find the proportion of 7th graders who prefer mountains out of the total number of students.
In this case, 40 7th graders prefer mountains out of a total of 310 students.
(40/310) * 100 = 12.9%
Therefore, the relative frequency of the percent of 7th graders who prefer mountains is 12.9%, rounded to the nearest tenth.
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
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.
40% of the people who preferred the seacoast were 7th graders.
To find a relative frequency from the table, we first need to determine the total number of people who preferred mountains.
From the table, we see that out of a total of 300 campers surveyed, 150 preferred mountains.
Now, we need to find out how many of those who preferred mountains were 8th graders. From the table, we see that 110 of those who preferred mountains were 8th graders.
To find the relative frequency which is the percentage of people who preferred mountains and were 8th graders, we calculate:
(110/150) * 100 = 73.3%
Therefore, the relative frequency that can be found from the table is: 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
120.0%
120.0%
54.5%
54.5%
70.6%
70.6%
41.7%
To find the percentage chance that farmers with sandy soil prefer to grow carrots using relative frequencies, we need to calculate the proportion of farmers with sandy soil who prefer to grow carrots out of the total number of farmers.
From the table, we see that there are 120 farmers with sandy soil who prefer to grow carrots out of a total of 420 farmers.
(120/420) * 100 = 28.6%
Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is 28.6%, rounded to the nearest tenth. None of the provided responses match the correct percentage.
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 rocky soil prefer growing peppers? Round your answer to the nearest tenth.
(1 point)
Responses
75.0%
75.0%
150.0%
150.0%
66.7%
66.7%
60.0%
To find the percentage chance that farmers with rocky soil prefer to grow peppers using relative frequencies, we need to calculate the proportion of farmers with rocky soil who prefer to grow peppers out of the total number of farmers.
From the table, we see that there are 150 farmers with rocky soil who prefer to grow peppers out of a total of 420 farmers.
(150/420) * 100 = 35.7%
Therefore, the percentage chance that farmers with rocky soil prefer to grow peppers is 35.7%, rounded to the nearest tenth. None of the provided responses match the correct percentage.