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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

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

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

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.

1 answer

To determine if the relative frequency statements are accurate, we need to calculate the percentages based on the table.

  1. 40% of the people who preferred the seacoast were 7th graders.

    • Total campers who preferred the seacoast: 150
    • 7th graders who preferred the seacoast: 60
    • Relative frequency = (60 / 150) * 100 = 40%
    • This statement is true.

  2. 32% of 7th-grade campers preferred the mountains.

    • Total 7th graders: 100
    • 7th graders who preferred the mountains: 40
    • Relative frequency = (40 / 100) * 100 = 40%
    • This statement is false (it's actually 40%).

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

    • Total 8th graders: 200
    • 8th graders who preferred the seacoast: 90
    • Relative frequency = (90 / 200) * 100 = 45%
    • This statement is false.

  4. 70% of the people who preferred mountains were 8th graders.

    • Total campers who preferred the mountains: 150
    • 8th graders who preferred the mountains: 110
    • Relative frequency = (110 / 150) * 100 = 73.3%
    • This statement is false.

Based on the calculations, the correct relative frequency is: 40% of the people who preferred the seacoast were 7th graders.