MapStats/MobilePhonesLesson

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This Mobiles/Cellphones Lesson helps students with concepts in statistics. The MapStats activity can be used to present many different statistics, so this guide should be helpful if they make their own maps and reports.

In this lesson, students learn

  • using units in statistics
  • the use of "density" and "per capita"
  • understanding comparisons with statistics
  • uses of different statistics


Contents

Using Units

The most important part of a statistic, or numerical fact, is not the number itself. The most important part is the units used.

You don't want to mistake meters and feet, or kilograms and pounds.

There are more units that are used when studying countries and people. Suppose you went into a baker shop in each country and asked the price of a loaf of bread. It may be 1.3 dollars in the United States, 1300 won in South Korea, 100 yen in Japan, and 1 euro in France.

To compare different countries, you must put their statistics into the same units.

Density and per Capita

Density

How many people live in a square kilometer? This statistic is known as population density. When you take a number and divide it by area, this gives you an idea of how many are in each part. A city would have a very high population density (because many people are in a small area) and a farm with one family on it would have a very small population density.

This map shows population density in North America. The most dense sections are around Mexico City and the northeast USA. Image:MapStats7.jpg


per Capita

How many scientific papers are published in Germany each year? The number is very high, but Germany also has many people living there. To compare countries with different populations, you often use the "per person" number. You find this number by taking the country's total and dividing by population. This is the "per capita" measurement.

Image:mapStats6.jpg

The map on the right shows that Switzerland has the most scientific papers per capita in Europe. How does a smaller country make so many scientific papers per person? The famous CERN laboratory in Switzerland has scientists from around the world, and Switzerland also has a good education system and many universities.

Comparing with Statistics

As described in the first section, make sure you understand units before comparing countries' statistics. Before making a comparison, each statistic must have the same type of units.

Comparing countries with different populations or different areas can result in flawed conclusions. As described in the second section, consider whether your statistic should be changed to a "density" or "per capita" statistic.

In reports, it is not enough just to write a list of numbers or show a map. You should explain why you chose your statistics and what they mean. For more complex statistics, you should research the countries and gather more information.

Different uses

The MapStats activity contains three different numbers for mobiles (cell phones). There is the total number in the country, the mobile density, and the mobiles per capita.

Which statistic is the "right" one? It depends on what you are trying to find out.

  • Suppose you are making a new mobile phone service in Europe. You can only sell the service in 10 countries. The ones you would choose are the ones with the most mobiles, because there are more customers there.
  • Now suppose you have changed jobs to a cell phone tower builder. A cell phone tower makes radio contact with all of the cell phones in its area. In cities, where there are many phones in an area, you will need a tower that can handle many phones. When you build a cell phone tower in a small town, there will be few phones in its area. You want to study "density".
  • Your friend wants help using cell phones to close the Digital Divide. She asks how many people in Nepal have cell phones. You tell her that there are more than one million mobile users, but this is 1 out of 25 Nepali people. This means that very few people in Nepal have their own mobile phone. By using a "per capita" measurement, you can see how popular phones are in Nepal. The number, 1/25 per capita, can be used to compare popularity with other countries with different numbers of people.
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