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Internet Activity

Solar System Statistics

Materials: calculator, grid paper for making graphs

Work alone or in a group of two or three.

The table shows various statistics about the planets of our solar system. Use these statistics in the Procedure for the Activity.

Planet
Mean Distance
from Sun
(millions of miles)
Period of
Revolution
(Earth years)
Equatorial Diameter (miles)
      1. Mecury
36               
0.24              
1,261,832,000     
      2. Venus
67               
0.62              
1,014,004,000     
      3. Earth
93               
1              
172,860,000     
      4. Mars
142               
1.88              
126,550,000     
      5. Jupiter
483               
11.86              
100,350,000     
      6. Saturn
886               
29.46              
39,997,000     
      7. Uranus
1783               
84.01              
78,774,000     
      8. Neptune
2794               
168.79              
47,471,000     
      9. Pluto
3666               
247.69              
57,634,000     


Procedure for the Activity

Step 1

Make a scatter plot of the data for the distance from the Sun and the period of revolution for each planet. Let the x-axis be distance and the y-axis be period of revolution. There will be nine ordered pairs, one for each planet, of the form (distance, period of revolution). Describe the shape of the graph and the relationship between the two data sets.

 

Step 2

Can you find a counterexample for the following statement based on the graph you made in Step 1? If so, name the counterexample.
As the distance of planets from the Sun becomes greater, the period of revolution of planets increases.

 

Step 3

Make a scatter plot of the data for the distance from the Sun and the equatorial diameter of each planet. Let the x-axis be distance and the y-axis be diameter. There will be nine ordered pairs, one for each planet, of the form (distance, diameter). Describe the shape of the graph and the relationship between the two data sets.

 

Step 4

Can you find a counterexample for the following statement based on the graph you made in Step 3? If so, name the counterexample.
As the distance of planets from the Sun becomes greater, the equatorial diameter of the planets increases.

 

Step 5

Describe how the shape of the graph of two data sets can help you determine whether a counterexample for a statement relating the data sets exists.

 

Wrapping Up the Activity

Make a poster or brochure that describes how you can use a scatter plot to determine whether a counterexample exists for a statement relating two data sets.

 

 
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