Relative Frequencies Quick Check
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Question
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%
55%
55%
26.7%
To determine the relative frequency of the percent of 7th graders who prefer mountains, you would 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%
Therefore, the relative frequency of 7th graders who prefer mountains is 12.9%, rounded to the nearest tenth.
None of the percentages listed in the options match the correct answer.
pick one
If I had to pick the closest option based on the available options provided, I would choose:
26.7%
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.
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.
40% of the people who preferred the seacoast were 7th graders.
To find the relative frequency, we need to calculate the percentage of a specific category (e.g. 7th graders who preferred mountains) out of the total.
From the given table, we know that:
- Number of 7th graders who preferred mountains = 40
- Total number of students = 310
Therefore, the relative frequency for the percentage of 7th graders who preferred mountains would be:
(40 / 310) * 100 = 12.9%
Therefore, the closest option is:
32% of 7th-grade campers preferred the mountains. (Since the calculated value of 12.9% is closer to 32% than to the other options mentioned)
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%
41.7%
41.7%
54.5%
54.5%
70.6%
To find the percentage chance that farmers with sandy soil prefer to grow carrots, we need to calculate the relative frequency:
Number of farmers with sandy soil who prefer carrots = 120
Total number of farmers with sandy soil = 170
Relative frequency = (Number of farmers with sandy soil who prefer carrots / Total number of farmers with sandy soil) * 100
Relative frequency = (120 / 170) * 100
Relative frequency ≈ 70.6%
Therefore, the correct answer is:
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.
To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to calculate the relative frequency:
Number of farmers with rocky soil who prefer peppers = 150
Total number of farmers with rocky soil = 250
Relative frequency = (Number of farmers with rocky soil who prefer peppers / Total number of farmers with rocky soil) * 100
Relative frequency = (150 / 250) * 100
Relative frequency = 60%
Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60%.
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.