Capture-Recapture: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
11 questions
~22 mins
5 views0 downloads

About This Worksheet

A worksheet exploring common errors and misconceptions in Capture-Recapture methods, designed to strengthen understanding and analytical skills for GCSE Foundation students.

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Capture-Recapture: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
A wildlife researcher captures 150 animals, marks them, and releases them. Later, they capture 120 animals, of which 30 are marked. Estimate the total population using Capture-Recapture.
[3 marks]
2.
If in a second capture, 50 animals are marked and 20 of the third capture are marked, what is the estimated population?
[3 marks]
3.
Calculate the number of animals in the population if 200 are captured first, 180 are captured second, and 45 are marked in the second capture.
[3 marks]
B

Problem Solving & Reasoning

Answer in detail, explaining your reasoning.
1.
A researcher captures 250 fish, marks them, and releases. Later, they catch 200 fish, of which 40 are marked. Explain why simply dividing the second sample size by the number of marked fish might lead to errors, and describe how the Capture-Recapture formula corrects for bias.
[4 marks]
2.
A population estimate using Capture-Recapture is 500. In the first catch, 100 animals are marked. The second catch has 150 animals, with 30 marked. Calculate the actual number of marked animals in the second catch and identify the estimate's accuracy.
[4 marks]
C

Real-world Applications

Apply your knowledge to real-life scenarios, and show your calculations.
1.
A conservation team captures 180 deer, marks them, and releases. Later, they trap 160 deer, of which 35 are marked. What is the estimated total deer population? Explain any assumptions made.
[4 marks]
2.
A wildlife survey estimates a bird population of 1200 using Capture-Recapture. If the first sample caught 300 birds, and the second caught 250, with 50 marked in the second sample, verify the calculation and discuss possible sources of error.
[4 marks]
D

Challenge & Extension

Attempt these advanced questions. Provide detailed solutions.
1.
In a study, 400 animals are initially captured and marked. Later, in a second capture, 380 animals are caught, with 70 marked. If the marked animals' population is suspected to be underestimated, suggest methods to improve accuracy and discuss potential biases.
[4 marks]
2.
A researcher notices that the estimated population frequently exceeds known counts by 20%. Identify common misconceptions that might cause this overestimation and how to correct them.
[4 marks]
E

Mixed Review & Error Analysis

Review the questions carefully. Identify and correct the errors in the following scenarios.
1.
A student calculates the population as (150 x 120) / 50 = 360, but the actual recaptured marked animals R is 30. Identify the mistake and recalculate correctly.
[3 marks]
2.
A student assumes that the population estimate is valid only if the marked animals are evenly distributed among the captured animals. Is this correct? Explain why or why not.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet