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Use the table to answer the question.

Calculating the survey's relative frequency.
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.

40% of the people who preferred the seacoast were 7th graders.
40% of the people who preferred the seacoast were 7th graders.

90% of 8th-grade campers preferred the seacoast.
90% of 8th-grade campers preferred the seacoast.

32% of 7th-grade campers preferred the mountains.

1 answer

To calculate the relative frequencies from the table, we'll use the totals provided to determine the percentages for each category.

  1. 70% of the people who preferred mountains were 8th graders.

    • Total number of students who preferred mountains = 150
    • Number of 8th graders who preferred mountains = 110
    • Relative frequency = (Number of 8th graders who preferred mountains / Total who preferred mountains) * 100
    • Relative frequency = (110 / 150) * 100 = 73.3%, rounded to 73.3% (not 70%).

  2. 40% of the people who preferred the seacoast were 7th graders.

    • Total number of students who preferred the seacoast = 150
    • Number of 7th graders who preferred the seacoast = 60
    • Relative frequency = (60 / 150) * 100 = 40%, which is correct.

  3. 90% of 8th-grade campers preferred the seacoast.

    • Total number of 8th graders = 200
    • Number of 8th graders who preferred the seacoast = 90
    • Relative frequency = (90 / 200) * 100 = 45%, which is not correct.

  4. 32% of 7th-grade campers preferred the mountains.

    • Total number of 7th graders = 100
    • Number of 7th graders who preferred mountains = 40
    • Relative frequency = (40 / 100) * 100 = 40%, which is not 32%.

Based on the calculations, the correct relative frequency from the options given is:

40% of the people who preferred the seacoast were 7th graders.