Ib Math Portfolio Sl
Taipei European SchoolMath Portfolio | VINCENT CHEN |
Gold Medal Heights
Aim: To consider the winning height for the men’s high jump in the Olympic games
Years | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 | 1976 | 1980 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 |
Height (cm)
Height (cm)
As shown from the table above, showing the height achieved by the gold medalists at various Olympic games, the Olympic games were not held in 1940 and 1944 due to World War II.
Year (1=1932, 2 = 1936 and so on)
Year (1=1932, 2 = 1936 and so on)
Using autograph, the graph above is a scatter graph showing the high jump results from the table.
The plot suggests that the high jump heights start off with a steep positive slope then coming to a decreasing negative slope, however without the 1940 and 1944 high jump competitions, it may not be certain. Then finally, it starts increasing again with a fairly steep positive slope.
However, it would not be realistic if the function has an infinitely increasing range, such as quadratic, exponential and linear because of the limitations that humans have due to natural forces like gravity. Therefore, narrowing down the options that may fit this graph to natural logarithm and logistics
Since the statistics given starts from year 1896, in order to make sure that calculations can be as simplified as possible, I have decided to rearrange the table with the assumption that 1896 is 0.
Years | 36 | 40 | 52 | 56 | 60 | 64 | 68 | 72 | 76 | 80 | 84 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 |
This table shows the rearranged data of winning height for the men’s high jump in the Olympic games
High Jump Height vs. Years after 1896
High Jump Height vs. Years after 1896
Height (cm)
Height (cm)
Years after 1896
Years after 1896
With the natural logarithm equation y=a+b (lnx), the variables “a” and “b” are the unknown
Gold Medal Heights
Aim: To consider the winning height for the men’s high jump in the Olympic games
Years | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 | 1976 | 1980 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 |
Height (cm)
Height (cm)
As shown from the table above, showing the height achieved by the gold medalists at various Olympic games, the Olympic games were not held in 1940 and 1944 due to World War II.
Year (1=1932, 2 = 1936 and so on)
Year (1=1932, 2 = 1936 and so on)
Using autograph, the graph above is a scatter graph showing the high jump results from the table.
The plot suggests that the high jump heights start off with a steep positive slope then coming to a decreasing negative slope, however without the 1940 and 1944 high jump competitions, it may not be certain. Then finally, it starts increasing again with a fairly steep positive slope.
However, it would not be realistic if the function has an infinitely increasing range, such as quadratic, exponential and linear because of the limitations that humans have due to natural forces like gravity. Therefore, narrowing down the options that may fit this graph to natural logarithm and logistics
Since the statistics given starts from year 1896, in order to make sure that calculations can be as simplified as possible, I have decided to rearrange the table with the assumption that 1896 is 0.
Years | 36 | 40 | 52 | 56 | 60 | 64 | 68 | 72 | 76 | 80 | 84 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 |
This table shows the rearranged data of winning height for the men’s high jump in the Olympic games
High Jump Height vs. Years after 1896
High Jump Height vs. Years after 1896
Height (cm)
Height (cm)
Years after 1896
Years after 1896
With the natural logarithm equation y=a+b (lnx), the variables “a” and “b” are the unknown