Question

select the button to take a sample of fish. generate three more random samples of fish. what is the ratio of the average number of catfish to the average number of all fish in the samples?
fish type | sample 1 | sample 2 | sample 3
--- | --- | --- | ---
brook trout | 9 | 1 | 7
catfish | 5 | 6 | 8
smallmouth bass | 6 | 13 | 5
x 1:4
3:10
2:5
6.33:20

Explanation:

Step1: Calculate average number of catfish

First, find the sum of catfish in samples: $5 + 6+8=19$. Then, since there are 3 samples, the average number of catfish is $\frac{19}{3}\approx6.33$.

Step2: Calculate average number of all fish in samples

Find the sum of all fish in each sample:
Sample 1: $9 + 5+6 = 20$
Sample 2: $1+6 + 13=20$
Sample 3: $7+8 + 5=20$
The total sum of all - fish in 3 samples is $20+20 + 20 = 60$. The average number of all fish in samples is $\frac{60}{3}=20$.

Step3: Find the ratio

The ratio of the average number of catfish to the average number of all fish in the samples is $6.33:20$.

Answer:

$6.33:20$