Question

The table below shows the data for a random sample of fish that were collected from and later released into a lake:

Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87

How many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? (5 points)

148

174

244

348

Answer 1

[AI-generated answer — Bot GPT 3.5]

To estimate the number of bluegill fish in the lake, we can calculate the proportion of bluegill fish in the sample and then apply that proportion to the total population.

Proportion of bluegill fish in the sample = Number of bluegill fish / Total number of fish in the sample
= 87 / (52 + 61 + 87)
= 87 / 200
= 0.435

Estimated number of bluegill fish in the lake = Proportion of bluegill fish in the sample * Total population
= 0.435 * 800
= 348

Therefore, an estimated 348 bluegill fish are present in the lake if a sample of 800 fish is collected.