Gold Medal Height
Ben Cosh
George Reuter
IB Math
20 January 2013
Gold Medal Heights
Introduction: a) The Olympic Games is an international event featuring summer and winter sports, in which athletes participate in different competitions. Since the Olympic Games began they have been the competition grounds for the world’s greatest athletes. First place obtaining gold; second silver and third bronze. The Olympic medals represent the hardship of what the competitors of the Olympics have done in order to obtain the medal. Olympic medals could be used as a unit of measure of athleticism.
Data Provided:
[pic]
Height (in centimeters) achieved by the gold medalist at various Olympic games.
The following is a graphic representation of the data given:
Given Data
Variables and Constraints:
a) The dependent variable for this data set is the Olympic Gold Medalist Heights. The independent variable for this data set is the years in which the summer Olympic Games occurred in. A constraint of this data set is the limited amount of data that is available. The data available is only between 1932 and 1980. If there were more data and if there is a pattern the pattern would become more apparent.
b) There were no Olympic Games in 1940 and1944 due to the war. This meant that the data is not consistent as we are missing 2 years of Gold Medalist heights. The graph also only shows the heights of the 1932 to 1980 Olympic Games which is a small section of the overall Olympic Games data, beginning in 1986.
c) In the context of this problem the x axis would be used to show the Year of the Olympic Games and y axis would be used to show the height of the gold medalist.
d) This data set is continuous because it is associated with a measurement and its possible to have the same y value for different x values. And since the data is measuring height a decimal answer is possible. A function that would fit most of the data would be a quadratic function. The
George Reuter
IB Math
20 January 2013
Gold Medal Heights
Introduction: a) The Olympic Games is an international event featuring summer and winter sports, in which athletes participate in different competitions. Since the Olympic Games began they have been the competition grounds for the world’s greatest athletes. First place obtaining gold; second silver and third bronze. The Olympic medals represent the hardship of what the competitors of the Olympics have done in order to obtain the medal. Olympic medals could be used as a unit of measure of athleticism.
Data Provided:
[pic]
Height (in centimeters) achieved by the gold medalist at various Olympic games.
The following is a graphic representation of the data given:
Given Data
Variables and Constraints:
a) The dependent variable for this data set is the Olympic Gold Medalist Heights. The independent variable for this data set is the years in which the summer Olympic Games occurred in. A constraint of this data set is the limited amount of data that is available. The data available is only between 1932 and 1980. If there were more data and if there is a pattern the pattern would become more apparent.
b) There were no Olympic Games in 1940 and1944 due to the war. This meant that the data is not consistent as we are missing 2 years of Gold Medalist heights. The graph also only shows the heights of the 1932 to 1980 Olympic Games which is a small section of the overall Olympic Games data, beginning in 1986.
c) In the context of this problem the x axis would be used to show the Year of the Olympic Games and y axis would be used to show the height of the gold medalist.
d) This data set is continuous because it is associated with a measurement and its possible to have the same y value for different x values. And since the data is measuring height a decimal answer is possible. A function that would fit most of the data would be a quadratic function. The