olympic graphing - handouts
DESCRIPTION
Teacher Handouts for the Olympic Graphing Project at the Calgary Science SchoolTRANSCRIPT
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Data Analysis: Which Medal Method is best?
In order to help you determine the most fair and accurate ways
to represent data, we will do a short comparison of different
data display methods.
Part A (Individual):
Using the data below, calculate the total number of medals,
the total medal points (G=3, S=2, B=1),the per capita medal
count, and medals per athlete for the listed countries in the
2006 Winter Olympics. Be sure to show any necessary
calculations in the boxes below. Where necessary, round to the
nearest Thousandth.
Country 2006
Population
Gold Silver Bronze Number of
Athletes
Germany 82,217,800 11 12 6 164
USA 292,709,873 9 9 7 211
Norway 4,743,193 2 8 9 81
Estonia 1,324,333 3 0 0 26
Canada 33,098,932 7 10 7 196
Sweden 9,076,744 7 2 5 112 ~population data obtained from various sources
Work for total medals:
Work for Medal Points:
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Work for Medals per million people:
Country Total
Medals
Medal
Points
Approximate
Medals per million
people
Medals per
Athlete
Germany
USA
Norway
Estonia
Canada
Sweden
~Based on the data, which country do you think was the best? Why?
~What would be the most fair and accurate way to display the data-
medal total, medal points, medals per capita (or million people)? Why?
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Part B (team): Displaying your Country’s Results
Your country is participating in the Vancouver 2010 Winter Olympics.
Luckily, you have been selected to go to the Olympics to report on your
country's standings.
As a team of reporters for your country, you must display your country's
medal achievement in relation to other countries at the Olympics.
Some considerations:
-You will ultimately choose two graphs to represent the information about
your country’s performance in the 2010 Winter Olympics.
-One graph will show the data in the most accurate way possible. This
graph will be displayed in Olympic Village.
-The second graph will show your data in a very biased way. This graph
will be displayed in all the newspapers in your country to show how
awesome your country did at the Olympics!!!
-What will you display? (Medals, Medal points, per capita medals, medals
per athlete, etc)
-Which other countries will you compare your data to?
Product/Performance:
-Make 5 Graphs (bar, line, circle, others?). Choose 2 to
represent your data (one to show in your country and one to
display in 'Olympic Village').
-Discuss the limitations and strengths of each graph.
-Peer review groups will critique your choices for data
representation, giving the original group the opportunity to
change/discard before each graph hits the "printing press".
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March 11, 2010
Vancouver
Winter
OlympicsStatistics and Probability
With Glowing Hearts Vancouver 2010.mp4
March 11, 2010
Questions About the Numbers
March 11, 2010
What Events are in the Winter
Olympics?
March 11, 2010
Can different graphs change the perception of data?
Are there data sets that are more appropriate for certain graphs?
How do we determine the rankings/seedings for countries/athletes?
Essential Questions:
March 11, 2010
Students will be able to:
! demonstrate an understanding of central tendency
and range by
! determining the measure of central tendency
(mean, median and mode) and range
! determining the most appropriate measures of
central tendency to report findings
!
! determine the effect on the mean, median and
mode when an outlier is included in a data set
March 11, 2010
Top 20 Nations Based on
Medal Performances from
2006 Olympics
Task: Working with your groups, represent
the nation that has been randomly
selected for you, by creating a scale
drawing of that flag.
Task : Based on how many medals your country has earned in theprevious 4 Olympic Games, graph and extrapolate the data to predict how many medals your country will earn in 2010
*options: Line of Best Fit, Mean, Median, Mode
*
March 11, 2010
Canadian Athletes
Task:
! Choose an athlete from Team Canada that has
statistics available from at least 5 competitions.
! Use the information found on the CTV website to
assist you in collecting data about your selected
athlete.
! Complete the pre-Olympic assignment using your
data collected.
Star Athlete
March 11, 2010
Follow your chosen Star Athlete's stats as they compete in Olympic competition.Record the results of their events. Record the top three finishers as well. You will be graphing the results of your Athlete in relation to other competitors at the olympics.
Questions:--What is mean? median?mode?-What is an outlier and how does it affect an average? the Median?
March 11, 2010
Host Advantage
Own the Podium!
When a country hosts the Olympic Games, they are more likely to perform beyond expectations than if they are not the host. Take a look at the activity sheet. Discuss data as a class.
Complete the Own the Podium Activity (Section 1)
Discussion: To what degree is there a host advantage?How many medals might Canada hope to win this year by being the host?
Discussion
March 11, 2010
Medal Potential
What is "Medal Potential"?
Complete the Own the Podium Activity (Section 2)
How does Canada's success rate compare to that of the other top nations?
March 11, 2010
Medal Potential Class Activity
Part 1 (Individual): Complete the Medal Potential Probability sheet.Objective: Determine the probability that Cindy Klassen will advance past the first two heats.
Part 2 (Group): With a group of 3, design an experiment to test your probability from Part 1Objective: Designing Probability Experiments
March 11, 2010
Media Analysis
Let's find some statistical information in the media:
Who is the Target Audience?Which is better: print, web, radio, tv? WHY?Can data be represented/construed in different ways? Can you detect bias?Why might there be bias?
The Task
What about these...
March 11, 2010
Year
Do
llars
Ea
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d
March 11, 2010
Josef's Day
vs.
March 11, 2010
Olympic Medal Percentage
Olympic Medal Percentage
blue= Australiagreen = UK
March 11, 2010
You will be representing your country's medal standings in different ways. -Graph to show your government (make your country look good!)-Graph to display in Olympic Village (make your country look accurate)
Graphical Representation of Country's Data
Consider:-Medal Count vs. Medal Points-Per Capita Medals
What else???
March 11, 2010
Graphical Analysis
2. On a word document containing the final copy of your graph, answer the following:
-What are the strengths and weaknesses of your graph (you can brainstorm beforehand with your country group) - Can you make your graph better? How? - Which of your country's graphs is the best biased graph? The best 'fair' graph? Why?
1. Peer Editing: In country groups and discussion with one other country
consider: is there any way to make the graph look more biased/fair?-Can you easily understand the graph?-Is it the best kind of graph to show this data? If not, what might be better?-Does it have a title? Axis labels? Legend (if necessary)?
March 11, 2010
How to draw a Circle Graph
. 1. Make a list of the items that you wish to illustrate on the circle
graph. Beside each item list the percentage of that item.
2. Convert each percentage into degrees by multiplying it by 3.6, which
is the number you arrive at when you divide 360 (degrees in a circle) by
100 (total amount in percentage)
3.Add the total of all items to make certain that the total is 360 degrees.
If not, recalculate the degrees for each item.
4. Use your compass to draw a circle
5. Divide the circle into segments using the information table you just
created in step 2.
6. Continue through the numbers using the previously made line as the
0 for the next line
7. Colour the chart and add labels if necessary
March 11, 2010
Example Circle Graph
Vehicles on the road Percentage
Cars 50%
Buses 5%
Trucks/SUVs 40%
Other 5%