!"#$%&

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:

!"#$%&

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?

!"#$%&

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".

!"#$%&'''''''''''''''''''''''''''''& & ()*+&*),-.).&

&

(/"0&*/12$/$%&''''''''''''''''''''''&

&

34&51"/&"0$&16781$0&0$792/7&:0";<74&=0>#&

16781$0&#>7/&0$?$;/&0"?$7&:#6;6#9#&>=&

@&?>#A$/6/6>;74B&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

C4&D"2?92"/$&/1$&#$";&=0>#&/1$&E"/"&7$/F&

&

&

&

&

&

&

&

&

&

&

&

&

G4&H$/$0#6;$&/1$&#$E6";&=0>#&/1$&E"/"&

7$/F&&&

&

&

&

&

&

&

&

I4&51"/&678"0$&/1$&#>E$:74B&

&

@4&51"/&67&/1$&$==$?/&>=&";&>9/26$0&>;&/1$&

#$";J&#$E6";J&";E&#>E$B&&.KA2"6;&

976;L&$K"#A2$7&M6/1&?"2?92"/6>;7F&&&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

N;7$0/&A6?/90$&1$0$&

!"#$%&'''''''''''''''''''''''''''''& & ()*+&*),-.).&

&

/0&12$3&4"5678&#29$&:";"&"<<2=&>29&

89$";$9&"??@9"?A&2>&B9$:6?;6273C&&

.DB<"67E&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

&

F0&G46?4&2>&;4$&#$"3@9$3&2>&?$7;9"<&

;$7:$7?A&H#$"7&53E&#$:6"7&53E&#2:$0&

;4";&I$3;&B9$:6?;29&2>&B$9>29#"7?$&";&

;4$&J<A#B6?3C&&.DB<"67E&&&

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

rne

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%