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Relative Frequencies Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items

Question
Use the table to answer the question.

The table shows people's preferences for vacation activities (such swimming or hiking) and where they would want to go.
Preferences Mountains Seaside Island
Hiking 45 20 12
Swimming 12 53 40
Given the data in the table, what is the relative frequency that people who prefer island vacations also prefer swimming? Round the percentage to the nearest tenth.

(1 point)
%

1 answer

To find the relative frequency that people who prefer island vacations also prefer swimming, we need to follow these steps:

  1. Identify the total number of people who prefer island vacations.

    • From the table, we can sum the number of people who prefer swimming and hiking at the island destination:
      • Hiking at the island: 12
      • Swimming at the island: 40

    Total for the island: \( 12 + 40 = 52 \)

  2. Identify the number of people who prefer swimming and also want to go to the island.

    • From the table, we see that the number of people who prefer swimming at the island is 40.

  3. Calculate the relative frequency.

    • The relative frequency is calculated as: \[ \text{Relative Frequency} = \frac{\text{Number of people who prefer swimming at the island}}{\text{Total number of people who prefer island vacations}} = \frac{40}{52} \]

  4. Convert to a percentage.

    • Calculate the relative frequency and convert it to a percentage: \[ \frac{40}{52} \approx 0.7692 \] To convert this to a percentage, multiply by 100: \[ 0.7692 \times 100 \approx 76.92% \] Rounding to the nearest tenth, we get: \[ 76.9% \]

So, the relative frequency that people who prefer island vacations also prefer swimming is 76.9%.