Math Problem Statement
total marked fish: 19 total fish counted: 86 Total marked fish counted: 17 what is the best estimate for the population of fish? Answer to the closest whole number
Solution
To estimate the fish population using the mark-and-recapture method, you can use the following formula:
Plugging in the values given:
Calculating this:
Rounding to the closest whole number, the estimated population of fish is 96.
Would you like a detailed explanation of the method or have any other questions?
Here are five related questions:
- How does the mark-and-recapture method help in estimating wildlife populations?
- What are some factors that could affect the accuracy of a mark-and-recapture estimate?
- How might the estimate change if the number of marked fish counted was higher?
- What are other methods used in population estimation?
- How can you ensure that the marked sample is representative of the population?
Tip: Mark-and-recapture works best when the marked sample mixes evenly back into the population.
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Math Problem Analysis
Mathematical Concepts
Statistics
Estimation
Mark-and-Recapture Method
Formulas
Estimated Population = (Total Fish Counted * Total Marked Fish) / Marked Fish Counted
Theorems
Mark-and-Recapture Estimation
Suitable Grade Level
Grades 9-11
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