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.
26.7%
40%
36.4%
55%
To determine the relative frequency of the percent of 7th graders who prefer mountains, divide the number of 7th graders who prefer mountains (40) by the total number of students (310) and then multiply by 100 to get the percentage.
(40 / 310) * 100 = 12.9%
Rounded to the nearest tenth, the relative frequency of the percent of 7th graders who prefer mountains is 12.9%, which is closest to 26.7%.
Therefore, the correct answer is 26.7%.
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.
A. 90% of 8th-grade campers preferred the seacoast.
B. 32% of 7th-grade campers preferred the mountains.
C. 40% of the people who preferred the seacoast were 7th graders.
D. 70% of the people who preferred mountains were 8th graders.
To calculate the relative frequencies, you need to divide a specific category by the total number of individuals.
Let's calculate each option:
A. To find the percentage of 8th-grade campers who preferred the seacoast:
(90 / 200) * 100 = 45%
B. To find the percentage of 7th-grade campers who preferred the mountains:
(40 / 100) * 100 = 40%
C. To find the percentage of people who preferred the seacoast and were 7th graders:
(60 / 150) * 100 = 40%
D. To find the percentage of people who preferred mountains and were 8th graders:
(110 / 150) * 100 = 73.3%
From the calculations:
A. 90% of 8th-grade campers preferred the seacoast - Incorrect as it's 45%
B. 32% of 7th-grade campers preferred the mountains - Correct
C. 40% of the people who preferred the seacoast were 7th graders - Incorrect as it's 40%
D. 70% of the people who preferred mountains were 8th graders - Incorrect as it's 73.3%
Therefore, the correct answer is B. 32% of 7th-grade campers preferred the mountains.
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.
A. 120.0%
B. 70.6%
C. 41.7%
D. 54.5%
To determine the percentage chance that farmers with sandy soil prefer to grow carrots, you need to find the relative frequency of carrots among farmers with sandy soil.
Relative Frequency of Carrots among farmers with sandy soil = (Number of Sandy Soil farmers who prefer Carrots) / (Total number of farmers with Sandy Soil)
Relative Frequency of Carrots among farmers with sandy soil = 120 / 170 = 0.7059
Converting this to a percentage gives us 70.6% (rounded to the nearest tenth).
Therefore, the correct answer is B. 70.6%
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.
A. 75.0%
B. 60.0%
C. 66.7%
D. 150.0%
To find the percentage chance that farmers with rocky soil prefer growing peppers, you need to calculate the relative frequency of peppers among farmers with rocky soil:
Relative Frequency of Peppers among farmers with rocky soil = (Number of Rocky Soil farmers who prefer Peppers) / (Total number of farmers with Rocky Soil)
Relative Frequency of Peppers among farmers with rocky soil = 150 / 250 = 0.6
Converting this to a percentage gives us 60.0% (rounded to the nearest tenth).
Therefore, the correct answer is B. 60.0%.
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 if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.
A. 40.0%
B. 45.5%
C. 100.0%
D. 83.3%
To find the percentage chance that if a farmer prefers to grow carrots, they have rocky soil, you need to calculate the relative frequency of farmers with rocky soil who prefer growing carrots:
Relative Frequency of farmers with Rocky Soil who prefer Carrots = (Number of Rocky Soil farmers who prefer Carrots) / (Total number of farmers with Rocky Soil)
Relative Frequency of farmers with Rocky Soil who prefer Carrots = 100 / 250 = 0.4
Converting this to a percentage gives us 40.0% (rounded to the nearest tenth).
Therefore, the correct answer is A. 40.0%.