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.
A. 55%
B. 26.7%
C. 40%
D. 36.4%
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)
A. 55%
B. 26.7%
C. 40%
D. 36.4%
The percent of 7th graders who prefer mountains is given by $\dfrac{\text{number of 7th graders who prefer mountains}}{\text{total number of students}}\times100\%$. Plugging in the values from the table, we get: $$\dfrac{70}{310}\times100\% \approx \boxed{\textbf{(B)}\ 26.7\%}$$
The relative frequency of the percent of 7th graders who prefer mountains is given by:
$\frac{\text{Number of 7th graders who prefer mountains}}{\text{Total number of students}} \times 100\%$
Plugging in the values from the table, we get:
$\frac{40}{110} \times 100\% \approx \boxed{\textbf{(B)}\ 26.7\%}$
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
A) 40% of the people who preferred the seacoast were 7th graders.
B) 32% of 7th-grade campers preferred the mountains.
C) 70% of the people who preferred mountains were 8th graders.70% of the
D) 90% of 8th-grade campers preferred the seacoast.
We can find the relative frequencies of the different preferences.
The relative frequency of those who preferred the seacoast is $\dfrac{150}{300}=0.5=50\%$.
The relative frequency of those who preferred mountains is $\dfrac{150}{300}=0.5=50\%$.
The relative frequency of those who preferred the seacoast and were in 8th grade is $\dfrac{90}{200}=0.45=45\%$.
The relative frequency of those who preferred the seacoast and were in 7th grade is $\dfrac{60}{100}=0.6=60\%$.
The relative frequency of those who preferred mountains and were in 8th grade is $\dfrac{110}{200}=0.55=55\%$.
The relative frequency of those who preferred mountains and were in 7th grade is $\dfrac{40}{100}=0.4=40\%$.
Therefore, the correct statement is $\boxed{\textbf{(B)}\ 32\% \text{ of 7th-grade campers preferred the mountains.}}$
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)
The relative frequency of Sandy Soil farmers who grow Carrots is:
$\dfrac{\text{Sandy Soil farmers who grow Carrots}}{\text{Total number of farmers}} = \dfrac{120}{420}\approx \boxed{\textbf{(B)}\ 28.6 \%}$
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
A) 70.6%
B) 54.5%
C) 120.0%
D) 41.7%
The relative frequency of Sandy Soil farmers who grow Carrots is:
$\dfrac{\text{Sandy Soil farmers who grow Carrots}}{\text{Total number of farmers}} = \dfrac{120}{420}\approx \boxed{\textbf{(B)}\ 28.6 \%}$
To determine the relative frequency of the percent of 7th graders who prefer mountains, we need to find the percentage value of the number of 7th graders who prefer mountains out of the total number of students.
To do this, we can use the following formula:
Relative frequency = (Number of 7th graders who prefer mountains / Total number of 7th graders) * 100
From the given information, we know that the number of 7th graders who prefer mountains is 70, and the total number of 7th graders is 160.
Substituting these values into the formula, we get:
Relative frequency = (70 / 160) * 100
Calculating this expression, we get:
Relative frequency = 0.4375 * 100 = 43.75%
Rounding this value to the nearest tenth, we get approximately 43.8%.
Therefore, the correct answer is not provided as one of the options.