The estimated probability that a randomly selected student chooses the aquarium is approximately 38.10%.
To find the estimated probability that a randomly selected student chooses the aquarium, you need to calculate the relative frequency, which is the number of students who chose the aquarium divided by the total number of students surveyed.
Step 1: Find the total number of students surveyed.
The total number of students surveyed is the sum of the students who chose each option:
Total = 80 (aquarium) + 60 (science center) + 30 (planetarium) + 40 (farm) = 210 students surveyed.
Step 2: Find the number of students who chose the aquarium.
Number of students choosing the aquarium = 80 students.
Step 3: Calculate the relative frequency (probability).
Relative Frequency = (Number of students choosing the aquarium) / (Total number of students surveyed)
Relative Frequency = 80 / 210
Step 4: Express the relative frequency as a percentage.
To express the relative frequency as a percentage, you can multiply it by 100:
Relative Frequency as a Percentage = (80 / 210) * 100%
Now, calculate the relative frequency as a percentage:
Relative Frequency as a Percentage ≈ (0.380952381) * 100% ≈ 38.10%
So, the answer is approximately 38.10%.
The complete question is here:
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium? This would be the relative frequency expressed as a percent.