Vu,+A

__Culminating Task – MDM 4U __

__**Introduction **__

 For my culminating task I chose to look at the correlation between how many points a player contributes per game, and their age. Since the Toronto FC is one of my favorite team in Canada, and soccer is also my favorite sport I chose to see how well the players are doing from their age differences between each other and which age range does the greatest.
 * Background information **


 * Dwayne De Rosario was the leading scorer of the Toronto FC in 2009 at the age of 31 scoring 11 goals.
 * Dwayne De Rosario, Nick LaBrocca and Dan Gargan were the top three players that had the most playing time in the 2009 season aging at 31, 25 and 27.

**Stage 1**

**Brainstorming:** Pregnancy vs. School grades. Drug Consumptions vs. School grades.  Adoption vs. Crime rates.
 * How many points a player contributes per game vs. their age. **

**Question:** Does the points a player contributes per game affect their age? **(2010)**

**Hypothesis:** Since younger players get moved into the bigger leagues every single year against much better players, they are slowly developing to become much better and better to compete against the good players. Mostly, throughout soccer the younger players are fairly decent while the players aging mid 20s tend to do the greatest out of all considering they became more skilled and trained throughout the few season they have played.

**Independent Variable:** Points a player contributes per game.  **Dependent Variable:** Their age.

 **Raw Data:** Toronto FC players stats of 2010



<span style="font-family: Georgia,serif;"> This raw data shows the stats of the team I chose in Canada, which is the Toronto FC's. This shows the amount of games they have played, how many goals they have scored throughout those games and their age. The data was only from 2010.

__**<span style="font-family: Georgia,serif;">Stage 2 **__

<span style="font-family: Georgia,serif;"> **Variable one:** How many points/goals the Toronto FC players contribute per game. (2010) <span style="font-family: Georgia,serif;"> **Variable two:** Their ages. (2010)


 * Results**
 * <span style="font-family: Georgia,serif;">For the Toronto FC players age the mean was **25.67**, the median was **25**, while the mode was **25** and **26**. This was really good because it lead to my hypothesis since I hypothesized that the players between 20 to 25 would do the greatest out of everyone else.
 * <span style="font-family: Georgia,serif;">The standard deviation was **4.586770674.**
 * <span style="font-family: Georgia,serif;">For the goals they have contributed during their 2010 season, the mean was **2.78** while the median and mode were both zero. And the standard deviation was **5.985174437**.
 * <span style="font-family: Georgia,serif;">This was also really good considering from seeing the two variable data, we can see that the players aging from 20 to 25 scored between 1 to 3 goals throughout the season, while the rest of the players either scored one or none.
 * <span style="font-family: Georgia,serif;">I was surprised to see that the younger players did better then the older ones, considering they have more experienced and has been in the league longer then the younger ones has.
 * <span style="font-family: Georgia,serif;">I was accomplished to see that the players around 25 years old, had a tendency to do much better then everyone else.
 * <span style="font-family: Georgia,serif;">While for the oldest members of the team, they tended to do the worst scoring no goals in their season of 2010
 * <span style="font-family: Georgia,serif;">There was only two outliers which was Chad Barrett scoring 7 goals in his 2010 season, while Dwayne De Rosario was the team goal scorer aging at 32 scoring 13 goals in his 2010 season.


 * <span style="font-family: Georgia,serif;">Bias **
 * <span style="font-family: Georgia,serif;">Throughout my whole entire research, the data I used only represented the year 2010. Since soccer is very difficult sport to play, I knew that the goals and the ages wouldn't make that big of a difference considering it would either go down a bit or up. Also, I only used one of Canada's most popular team, but if I had chosen teams in europe or anywhere else in the world my hypothesis would still have been correct. Considering during the Fifa cup of 2010, most of the players that had the most playing time did the greatest out of their teammates, and it was usually the players aging around 20 - 25.
 * <span style="font-family: Georgia,serif;">Top 5 goals scored of the 2010 fifa world cup[[image:Fifa_world_cup_2010.jpg width="391" height="211" align="right"]]
 * <span style="font-family: Georgia,serif;">Thomas Muller Age 21 Goals: 5
 * <span style="font-family: Georgia,serif;">David Villa Age 29 Goals: 5
 * <span style="font-family: Georgia,serif;">Wesley Shneijder Age 26 Goals: 5
 * <span style="font-family: Georgia,serif;">Diago Forlan Age 31 Goals: 5
 * <span style="font-family: Georgia,serif;">Gonzalo Higuain Age 23 Goals: 4

**__<span style="font-family: Georgia,serif; font-size: 14pt;">﻿Conclusion __**
 * <span style="font-family: Georgia,serif;">From the one variable and the two variable data, you can see that there was definitely a strong correlation between how many points/goals the players scored with their ages. It has come to a conclusion that the players aging around the 20s and high 20s tend to do greater then everyone else.

<span style="font-family: Georgia,serif;">Winning goal between spain and the netherlands in the 2010 Fifa world cup. <span style="font-family: Georgia,serif;">http://www.youtube.com/watch?v=l-ZGbvNHzf4

<span style="font-family: Georgia,serif;">Toronto FC goals throughout 2010 <span style="font-family: Georgia,serif;">http://www.youtube.com/watch?v=876lbOJ21FY

__**Bibliography**__ http://www.torontofc.ca/stats http://www.fifa.com/worldcup/archive/southafrica2010/statistics/index.html