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Create an image depicting a relatable scenario for understanding the relative frequency. Show a classroom with diverse group of students - 7th and 8th graders, with an even distribution of descent and gender, engaged in a group discussion categorizing preferences for holiday destinations: The Seacoast or the Mountains. On the classroom's blackboard, illustrate a bar chart representing the data from the above table, where X-axis represents the categories 'Seacoast' and 'Mountains', and Y-axis for the number of students. One color differentiate the 7th graders and another for 8th graders in the chart. Note: Do not include any text in the image.

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

A 36.4%

B 26.7%

C 40%

D 55%

To determine the relative frequency of the percent of 7th graders who prefer mountains, you need to divide the number of 7th graders who prefer mountains by the total number of 7th graders.

According to the table, there are 70 7th graders who prefer Seacoast and 40 7th graders who prefer Mountains. Therefore, the total number of 7th graders is 70 + 40 = 110.

To find 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 7th graders (110) and multiply the result by 100 to get the percentage.

Relative frequency = (Number of 7th graders who prefer mountains / Total number of 7th graders) × 100
Relative frequency = (40/110) × 100
Relative frequency = 0.363636... × 100
Relative frequency = 36.4%

Rounding this to the nearest tenth, the relative frequency of the percent of 7th graders who prefer mountains is 36.4%.

Therefore, the correct answer is option A: 36.4%.

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 (40) by the total number of students (310), and then multiply by 100 to convert to a percentage:

(40/310) * 100 = 12.9%

Rounding to the nearest tenth, we get 12.9%, which is closest to option B. Therefore, the correct answer is B) 26.7%.

To determine the relative frequency of the percent of 7th graders who prefer mountains, we need to calculate the percentage of 7th graders who prefer mountains out of the total number of students.

According to the table, there are 110 students who are in the 7th grade, and out of those, 40 prefer mountains.

To calculate the relative frequency, we divide the number of 7th graders who prefer mountains by the total number of students, and then multiply by 100 to convert it into a percentage:

(40 / 310) * 100 = 0.129 * 100 = 12.9%

Rounding this percentage to the nearest tenth, we get 12.9%.

Therefore, the correct answer is:

A) 36.4% (incorrect)
B) 26.7% (incorrect)
C) 40% (incorrect)
D) 12.9% (correct)