Question

sampling fish
select the button to take a sample of fish.

collect fish sample.

fish type\tsample 1\tsample 2\tsample 3
brook trout\t\t\t
catfish\t\t\t
smallmouth bass\t\t\t

what is the ratio of the average number of catfish to the
average number of all fish in the samples?

\\(\frac{\text{average number of catfish}}{\text{average number of fish}} = \frac{\frac{(3 + 5 + 7)}{3}}{20}\\)

\\(\circ\\) 1:7
\\(\circ\\) 1:4
\\(\circ\\) 2:5
\\(\circ\\) 3:4

Explanation:

Step1: Calculate average catfish count

$\text{Average Catfish} = \frac{3+5+7}{3} = \frac{15}{3} = 5$

Step2: Set total average fish count

The given denominator for the ratio is 20, so average total fish = 20

Step3: Simplify the ratio

$\text{Ratio} = \frac{5}{20} = \frac{1}{4}$

Answer:

1:4