Estimating Population Size Quiz

What is the term used to describe the method of estimating population size by capturing, marking, and recapturing a sample?

• Random Sampling

• Mark and Recapture

• Census

• Stratified Sampling

Tags

CCSS.7.SP.A.2

If you capture 50 fish, mark them, and release them back into a pond, and later capture 100 fish with 10 marked, the estimated total population of fish in the pond is (a)   .

• 200
• 500
• 1000
• 250

Tags

CCSS.7.SP.A.2

Which of the following is a basic assumption of the mark and recapture method?

• The marked individuals have a higher chance of being recaptured.

• The population size decreases significantly between captures.

• Marked individuals mix evenly with the rest of the population.

• Only marked individuals are recaptured.

A biologist captures and marks 80 rabbits in a forest. After a week, she captures 60 rabbits and finds that 15 of them are marked. Estimate the total rabbit population in the forest.

• 320

• 240

• 480

• 160

Tags

CCSS.7.SP.A.2

Match the following scenarios with the correct formula used to estimate population size using the mark and recapture method:

• Estimate population size when you know the total recaptured and number of marked individuals, and you want to find the marked recaptured.

• $\frac{\text{Total recaptured} \times \text{Number of marked individuals}}{\text{Marked recaptured}}$

• Estimate population size when you know the number of marked individuals and marked recaptured, and you want to find the total recaptured.

• $\frac{\text{Total recaptured} \times \text{Marked recaptured}}{\text{Number of marked individuals}}$

• Estimate population size when you know the number of marked individuals and total recaptured, and you want to find the marked recaptured.

• $\frac{\text{Number of marked individuals} \times \text{Marked recaptured}}{\text{Total recaptured}}$

• Estimate population size when you know the total recaptured and marked recaptured, and you want to find the number of marked individuals.

• $\frac{\text{Number of marked individuals} \times \text{Total recaptured}}{\text{Marked recaptured}}$

Tags

CCSS.7.SP.A.2

A researcher uses the mark and recapture method and finds the estimated population size to be 400. If she initially marked 50 animals and recaptured 20 marked animals out of 100, a reason for the discrepancy in the estimate could be (a)  

• The population size is actually lar
• The marked animals did not mix well
• The recapture sample was too large.
• The initial capture was too small.

Tags

CCSS.7.SP.A.2

If a scientist captures 40 birds, marks them, and releases them, and later captures 80 birds with 20 marked, what is the estimated total population of birds?

• 160

• 320

• 200

• 400

Tags

CCSS.7.SP.A.2

Why is it important for marked individuals to have the same chance of being recaptured as unmarked individuals in the mark and recapture method?

• To ensure the population size is underestimated.

• To ensure the population size is overestimated.

• To ensure the estimate is unbiased and accurate.

• To ensure only marked individuals are counted.

Tags

CCSS.7.SP.A.2

A wildlife biologist captures and marks 100 deer in a park. After a month, she captures 150 deer and finds 30 of them are marked. What is the estimated total population of deer in the park?

• 500

• 450

• 300

• 600

Tags

CCSS.7.SP.A.2

A student uses the mark and recapture method and estimates a population size of 600. If the initial number of marked individuals was 75 and the number of marked recaptured was 25 out of a total recapture of 150, what might explain the accuracy of this estimate?

• The marked individuals were more likely to be recaptured.

• The population size is actually smaller than 600.

• The marked individuals mixed well with the population.

• The initial capture was too large.

Tags

CCSS.7.SP.A.2