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Biology · Grades 10–12

Population estimate from supplied records

Use supplied records only. Assume a closed population, equal capture probability, mixing and retained marks. The estimate has sampling uncertainty.

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Rule and assumptions

Use supplied records only. Assume a closed population, equal capture probability, mixing and retained marks. The estimate has sampling uncertainty.

N ≈ MC/R

Worked examples

Supplied fictional records give M = 69 initially marked, C = 45 in a later sample, and R = 32 marked in that sample. Use N ≈ MC/R under the stated assumptions. No animals are to be handled. Round to 3 decimal places if needed.

N ≈ MC/R 69 × 45/32 = 97.031

97.031

Supplied fictional records give M = 58 initially marked, C = 77 in a later sample, and R = 56 marked in that sample. Use N ≈ MC/R under the stated assumptions. No animals are to be handled. Round to 3 decimal places if needed.

N ≈ MC/R 58 × 77/56 = 79.75

79.75

Try two questions

  1. Supplied fictional records give M = 54 initially marked, C = 26 in a later sample, and R = 25 marked in that sample. Use N ≈ MC/R under the stated assumptions. No animals are to be handled. Round to 3 decimal places if needed.

  2. Supplied fictional records give M = 73 initially marked, C = 29 in a later sample, and R = 29 marked in that sample. Use N ≈ MC/R under the stated assumptions. No animals are to be handled. Round to 3 decimal places if needed.

Answers and reasoning

Answers and marking notes
  1. 56.16

    N ≈ MC/R 54 × 26/25 = 56.16

  2. 73

    N ≈ MC/R 73 × 29/29 = 73

Further reading and review references

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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.