Select the button to take a sample of fish.
| Fish Type | Sample 1 | Sample 2 |
| --------- | -------- | -------- |
| Brook Trout | | |
| Catfish | | |
| Smallmouth Bass | | |
Take two samples of fish from a pond and analyze the results. What is the average number of bass found in both samples?
What is the ratio of the average number of bass to the average number of fish in each sample?
Answer (1)
Calculate the average number of bass: 2 1 + 3 = 2 .
Calculate the average number of fish: 2 6 + 6 = 6 .
Calculate the ratio of average bass to average fish: 12 4 = 3 1 .
The average number of bass is 2 and the ratio is 3 1 .
Explanation
Assume data for demonstration We need data from the table to proceed. Since the table is empty, let's assume the following data for demonstration:
Sample 1:
Brook Trout: 3
Catfish: 2
Smallmouth Bass: 1
Sample 2:
Brook Trout: 2
Catfish: 1
Smallmouth Bass: 3
Identify the number of bass in each sample Let B 1 be the number of bass in sample 1, and B 2 be the number of bass in sample 2. From the assumed data, B 1 = 1 and B 2 = 3 .
Calculate the total number of fish in each sample Let T 1 be the total number of fish in sample 1, and T 2 be the total number of fish in sample 2. T 1 = 3 + 2 + 1 = 6 T 2 = 2 + 1 + 3 = 6
Calculate the average number of bass Calculate the average number of bass: 2 B 1 + B 2 = 2 1 + 3 = 2 4 = 2
Calculate the average number of fish Calculate the average number of fish in each sample: 2 T 1 + T 2 = 2 6 + 6 = 2 12 = 6
Calculate the ratio Calculate the ratio of the average number of bass to the average number of fish: 2 T 1 + T 2 2 B 1 + B 2 = T 1 + T 2 B 1 + B 2 = 6 + 6 1 + 3 = 12 4 = 3 1
State the final answer The average number of bass found in both samples is 2, and the ratio of the average number of bass to the average number of fish in each sample is 3 1 .
Examples
Imagine you are a marine biologist studying fish populations in a lake. You take two samples to estimate the number of bass and other fish. Calculating the average number of bass helps you understand the bass population size, and the ratio of bass to total fish gives you insights into the ecosystem's balance. For example, if you find an average of 2 bass per sample and a ratio of 1/3, it suggests that bass make up about 33% of the fish population in the sampled areas.
