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Internet Activity

Fishy Data

Materials: calculator, grid paper for making graphs

Work alone or in a group of two or three.

The table shows the estimated number of pet fish owned in each of ten countries in 2000. These countries are the top ten owners of pet fish in the world. The table also shows the 2000 human population for each of the ten countries.

Country
Estimated Pet Fish Population
Human Population
             China
111,477,500            
1,261,832,000          
             United States
103,400,000            
275,563,000          
             Germany
50,000,000            
82,797,000          
             Japan
35,200,000            
126,550,000          
             Italy
29,000,000            
57,634,000          
             France
27,000,000            
59,330,000          
             United Kingdom
26,600,000            
59,508,000          
             Russia
20,500,000            
146,001,000          
             Australia
12,400,000            
19,165,000          
             Sweden
9,390,000            
8,873,000          
Source: Euromonitor and The World Almanac and Book of Facts


Procedure for the Activity

Step 1

Make a bar graph that shows the pet fish population for each country.

 

Step 2

Make a bar graph that shows the human population for each country.

 

Step 3

Can you find a counterexample for the following statement? If so, name the counterexample.
The greater the human population of a country, the greater the pet fish population.

 

Step 4

Find the ratio of the number of people to the number of pet fish for each country.


Step 5

Can you find a counterexample for the following statement? If so, name the counterexample.
As the human population of the countries becomes smaller, the ratio of the number of people to the number of pet fish decreases.


Step 6

Find the ratio of the number of pet fish to the number of people for each country.

 

Step 7

Can you find a counterexample for the following statement? If so, name the counterexample.
As the human population of the countries increases, the ratio of the number of pet fish to the number of people decreases.

 

Step 3

Make a circle graph for 2002 population data.

 

Step 4

For the graph you made in Step 3, use the categories to identify any arcs that are congruent.

 

Step 5

Use the projected population data for 2050. Find the percent of the total world population represented by each of the seven countries or categories. Be sure to include a category named Other for the population of all other countries. Round the percents to the nearest whole number.

 

Wrapping Up the Activity

In this activity, you compared patterns in two data sets to determine counterexamples for given statements. Did the bar graphs help you to find counterexamples more easily? Would another type of graph have helped you more? Or, is using a table of data the easiest method for finding counterexamples? Write a paragraph describing the method that you prefer to use to find a counterexample that compares two sets of data.

 

 
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