Students use the provided world map data to complete a table and answer questions about population density and distribution.

Problem Analysis

The task involves analyzing population density data for several countries and completing a table based on the given information. Additionally, we need to answer specific questions about the data and plot the countries on a scatter graph.

#### Key Information Provided:
1. Population Density Formula:
\[
\text{Population Density} = \frac{\text{Population}}{\text{Area}}
\]
2. Given Data:
- Population and/or Area for each country.
- World average population density: 60 people per km².

#### Steps to Solve:
1. Complete the Table:
- Use the formula for population density to fill in missing values.
- Ensure consistency between population, area, and density.

2. Answer the Questions:
- Identify the country with the highest population density.
- Compare the highest density with the lowest density.
- Plot the countries on a scatter graph.
- Interpret the meaning of being above or below the world average line.

3. Scatter Graph:
- Plot each country's population (y-axis) against its area (x-axis).
- Draw a horizontal line at the world average population density (60 people/km²).

---

Step 1: Complete the Table

We will calculate missing values using the formula:
\[
\text{Population Density} = \frac{\text{Population}}{\text{Area}}
\]
or rearrange it as needed:
\[
\text{Population} = \text{Population Density} \times \text{Area}
\]
\[
\text{Area} = \frac{\text{Population}}{\text{Population Density}}
\]

#### Country-by-Country Calculations:

1. Australia:
- Population: 25 million
- Area: 8,000,000 km² (given)
- Population Density:
\[
\text{Density} = \frac{25}{8} = 3.125 \text{ people/km}^2
\]

2. Bangladesh:
- Population: 170 million (given)
- Area: 0.2 million km² (given)
- Population Density:
\[
\text{Density} = \frac{170}{0.2} = 850 \text{ people/km}^2
\]

3. Brazil:
- Population: 200 million (given)
- Area: 9 million km² (given)
- Population Density:
\[
\text{Density} = \frac{200}{9} \approx 22.22 \text{ people/km}^2
\]

4. Ethiopia:
- Population: 110 million (given)
- Area: 1,000,000 km² (given)
- Population Density:
\[
\text{Density} = \frac{110}{1} = 110 \text{ people/km}^2
\]

5. India:
- Population: 1,400 million (given)
- Area: 3 million km² (given)
- Population Density:
\[
\text{Density} = \frac{1400}{3} \approx 466.67 \text{ people/km}^2
\]

6. Indonesia:
- Population: 270 million (given)
- Area: 2,000,000 km² (given)
- Population Density:
\[
\text{Density} = \frac{270}{2} = 135 \text{ people/km}^2
\]

7. Mexico:
- Population: 130 million (given)
- Area: 2,000,000 km² (given)
- Population Density:
\[
\text{Density} = \frac{130}{2} = 65 \text{ people/km}^2
\]

8. Nigeria:
- Population: 200 million (given)
- Area: 1,000,000 km² (given)
- Population Density:
\[
\text{Density} = \frac{200}{1} = 200 \text{ people/km}^2
\]

9. UK:
- Population: 70 million (given)
- Area: 0.3 million km² (given)
- Population Density:
\[
\text{Density} = \frac{70}{0.3} \approx 233.33 \text{ people/km}^2
\]

10. USA:
- Population Density: 30 people/km² (given)
- Area: 10 million km² (given)
- Population:
\[
\text{Population} = 30 \times 10 = 300 \text{ million}
\]

11. Vietnam:
- Population Density: 330 people/km² (given)
- Area: 3 million km² (given)
- Population:
\[
\text{Population} = 330 \times 3 = 990 \text{ million}
\]

#### Completed Table:
| Country | Population (millions) | Area (million km²) | Population Density (pop./km²) |
|-------------|-----------------------|--------------------|-------------------------------|
| Australia | 25 | 8 | 3.125 |
| Bangladesh | 170 | 0.2 | 850 |
| Brazil | 200 | 9 | 22.22 |
| Ethiopia | 110 | 1 | 110 |
| India | 1,400 | 3 | 466.67 |
| Indonesia | 270 | 2 | 135 |
| Mexico | 130 | 2 | 65 |
| Nigeria | 200 | 1 | 200 |
| UK | 70 | 0.3 | 233.33 |
| USA | 300 | 10 | 30 |
| Vietnam | 990 | 3 | 330 |

---

Step 2: Answer the Questions

#### a) Which country has the highest population density?
- From the table, Bangladesh has the highest population density: 850 people/km².

#### b) How many times more people per km² does it have than the country with the lowest population density?
- The country with the lowest population density is Australia: 3.125 people/km².
- Ratio:
\[
\frac{850}{3.125} = 272
\]
- Bangladesh has 272 times more people per km² than Australia.

#### c) Plot each country (except India) on the scatter graph.
- Plot each country's population (y-axis) against its area (x-axis).
- For example:
- Australia: (8, 25)
- Bangladesh: (0.2, 170)
- Brazil: (9, 200)
- Ethiopia: (1, 110)
- Indonesia: (2, 270)
- Mexico: (2, 130)
- Nigeria: (1, 200)
- UK: (0.3, 70)
- USA: (10, 300)
- Vietnam: (3, 990)

#### d) The world average population density is 60 people/km². Plot this as a line on the graph.
- Draw a horizontal line at 60 people/km² on the scatter graph.

#### e) What does it mean if the country is below or above the average line?
- Above the line: The country has a higher population density than the world average.
- Below the line: The country has a lower population density than the world average.

---

Final Answer:

\[
\boxed{
\begin{array}{l}
\text{a) Bangladesh} \\
\text{b) 272 times} \\
\text{c) Scatter plot completed (details above)} \\
\text{d) Horizontal line at 60 people/km²} \\
\text{e) Above: higher density; Below: lower density}
\end{array}
}
\]