IB Math: Studies Statistics
Portfolio:
What is the relationship between the numbers of goals the top sixteen players of the FIFA world cup 2014 score with the height of the players?
Due date: Friday November 23, 2013
School Name: Franklin Delano Roosevelt
Course: IB Math Studies
Name: Valerie Philco
What is the relationship between football player’s height that is participating in FIFA and has scored more than fourteen goals with the number of goals they have scored?
Introduction
The FIFA world cup is one of the most celebrated soccer tournaments around the world today. Not only does it serve as entertainment to everyone that watches the tournament but to participate teams have to have play a game against every team of there area teams classified this year include country’s like Argentina, Spain, Bosnia, Brazil, USA, Italy, France and many more. This being said for teams to win games they have to score more goals than other teams in this investigation the purpose is to verify if there is a correlation between the height of soccer players and the amount of goals they score.
Statement of task
The main purpose of this investigation is to determine whether there is a relationship between the height of the player and the amount of scores that they scored through out the period of qualifications for the 2014 FIFA world cup Brazil. The type of data that will be collected will be the Height of fifteen different players who have scored and all are from teams that have qualified to go to the 2014 FIFA world cup and the amount of goals they have scored.
Plan of investigation
I am investigating the relationship of Players and height of players. I have collected the data of the players height through the use of the official FIFA 2014 website; I have also used this website to collect the number of goals the players made. Furthermore with the collection of data that I have acquired I have performed several mathematical processes to analyze the data such processes consisted on; finding the mean, median and mode, making a scatter plot of the data, finding the correlation, making a cumulative frequency chart, a box and whisker plot a histogram, and finally finding the standard deviation. I will also perform a chi square test on the data to show the dependence of the height of the players and the amount of goals they have scored.
Mathematical Investigation
Collected Data
Table 1: Height of Players and Number of goals scored
Name of players
Height of players
Goals kicked
Gutierrez
1.80
6
Vidal
1.81
5
Cavani
1.84
6
Falcao
1.78
9
Dzeko
1.93
8
Bangston
1.87
8
Dempsey
1.85
8
Van Persie
1.88
8
Higuain
1.84
9
Byes
1.78
10
Perez
1.85
10
Suarez
1.81
11
Messi
1.69
10
McCauley
1.79
11
Neymar
1.75
17
Table 2: Cumulative Frequency table
Cumulative Frequency table
6
11
17
26
34
42
50
58
67
77
87
98
109
120
137
Mean, Median and mode
To find the mean add and divide by the total:
Mean: 5.854
Median: 8, 1.81
Mode: 8, 1.81
Standard deviation
The standard deviation is equal to 5.9751 this calculation can be found by using your calculator you go to stat then to calc and press 1, 2nd L1, 2nd L2 and then enter and you scroll down.
Box and whisker plot
MinxX: 1.69
Q1: 1.78
Med: 1.81
Q3: 1.85
MaxX: 1.93
Graph 3: Box and whisker plot
Graph 2: Scatter Plot
Graph 3: Histogram
Range
Frequency
CMF
179