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GEO 05 – Population of Australian Capital Cities |
You can download this activity as a rich text file (RTF) using the links at the bottom of the page.
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This classroom activity compares the size of Australia’s state capitals and develops the use of proportional symbols to represent the data. There are two opportunities for extension. For a more accurate representation of the data, proportional circles may be drawn by making calculations of the areas of a circle. A second option for extension involves the integration of the statistics into a geographic information system (GIS) in order to develop the skills of digital thematic mapping.
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- Map of Australia showing states and territories
- Tracing paper
- Computer and GIS software
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1. Represent the area of each capital city as a proportional circle drawn accurately to scale. The instructions for calculating proportional circles are shown below.
When proportional circles are used, the area of the circle represents the population of the city. To draw a circle the radius must first be calculated. This is done by obtaining the square root of each capital city population and choosing an appropriate scale to represent the data.
Population of city (P) is to be represented by the area of a circle = Πr2 . Therefore the radius is proportional to the square root of the population.
When all radii have been calculated choose a suitable scale to represent the data. On an Australian map (A4) size, then a scale for each radius could be 1mm represents 100 people.
Example: Brisbane
Population = 1,810,900 and radius is represented by √1,810,900 = 1345.70 If 1 mm is used to represent a radius of 100 then Brisbane would be represented by a circle with radius of 13.5mm.
This activity could be delivered with the aid of a geographic information system. The thematic mapping capability could be used to accurately draw the proportional symbols
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TABLE 2. POPULATION OF AUSTRALIA'S CAPITAL CITIES, JUNE 2006
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| Capital city | (a) Rank (101508) according to the size of population. | (b) Estimate the population of Australian capital cities. | Population capital city statistical division, June 2006 |
| Adelaide |  |  | 1 146 119 |
| Brisbane |  |  | 1 820 400 |
| Canberra |  |  | 333 940 |
| Darwin |  |  | 114 368 |
| Greater Hobart |  |  | 205 566 |
| Melbourne |  |  | 3 744 373 |
| Perth |  |  | 1 519 510 |
| Sydney |  |  | 4 284 379 |
Source: Table 7.19, Year Book Australia, 2008 (cat # 1301)
| TABLE 3. CALCULATIONS FOR CREATION OF PROPORTIONAL SYMBOLS TO REPRESENT THE POPULATION OF AUSTRALIA'S CAPITAL CITIES |
| Capital city | Population capital city statistical division, June 2006 | Square root of population | Possible scale for A4 map (1mm represents 100 people) |
| Adelaide | 1 146 119 | 1070.57 | 10.7 |
| Brisbane | 1 820 400 | 1349.22 | 13.5 |
| Canberra | 333 940 | 577.88 | 5.8 |
| Darwin | 114 368 | 338.18 | 3.4 |
| Greater Hobart | 205 566 | 453.39. | 4.5 |
| Melbourne | 3 744 373 | 1935.04 | 19.4 |
| Perth | 1 519 510 | 1232.68 | 12.3 |
| Sydney | 4 284 379 | 2069.87 | 20.7 |
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Estimated Resident Population (ERP)
Is the count of all people regardless of citizenship and nationality, who usually live in Australia, with the exception of foreign diplomats and their families. It is the official measure of the Australian population.
Proportional symbols
Symbols used on a map where the size of the symbol is proportional to the value it represents.
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Note: Links to ABS publications are to the most recent release. Previous releases can be accessed by selecting the Past and Future Releases tab.
Year Book Australia, 2008 (cat no 1301.0)
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Student Activity
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Attachments
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To provide any feedback regarding this activity, please contact ABS Education Services on 1800 623 273 or email education@abs.gov.au.
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This page last updated 6 February 2012 |