- Mark and Recapture (Snails):
- Estimation of total population = (Total number captured) x (number marked) / (Total number captured with marks)
- Given: Total captured = 15, Number marked = 10, Captured with marks = 3
- Calculation: (15 x 10) / 3 = 50
- Estimated total snail population = 50
- Population Density (USA Map):
- 1. The most densely populated areas are generally along the coasts, especially the Northeast (e.g., New York, Boston) and parts of California.
- 2. The most sparsely populated areas are generally in the interior West and Mountain states (e.g., Nevada, Wyoming, Montana).
- 3. Life in dense areas is different due to higher population pressure on resources, infrastructure, and housing, leading to more urbanization and services. It is similar in that both areas require resources for survival, but the scale and type of resource management differ.
- 4. It is generally easier to provide for a sparse population because there are fewer people competing for the same resources per unit area, reducing strain on infrastructure and services.
- Random Sampling (Orchids):
- Locations and counts from the grid:
- G9: 8
- B4: 6
- H1: 7
- C6: 5
- A7: 4
- J3: 6
- C1: 5
- D5: 7
- I8: 6
- F2: 5
- Total number of orchids in the 10 plots: 8 + 6 + 7 + 5 + 4 + 6 + 5 + 7 + 6 + 5 = 59
- Average number of orchids per plot: 59 / 10 = 5.9
- Population estimate for the entire forest (1000 plots): 5.9 x 1000 = 5900
- Actual population (if known or given): Not provided in the problem; the estimate is 5900.
Parent Tip: Review the logic above to help your child master the concept of populations worksheet answers.
