# High Jump Gold Medal 2012 maths investigation.

Gold Medal Heights

In this task I will develop a function that best fit the data points in the graph, which will be plotted based on the table below showing the different gold medal heights.

Note: There are no data of 1940 and 1944

For all the graphs in this table, the y- axis will be represent the height in cm and the x-axis will be the year when the height was obtained.

The graph below shows the relationship between the years and the heights obtained between the years of 1932 and 1980:

The further explanation for the missing data in 1940 and 1944 was due to World War II.  Although the data does not tell us the reason why the height increased in 1932 and 1936 and drop down abruptly in 1948, we can assume that the World War II had affected athletics health critically.

With this graph and the numbers given in the table I am able to develop a model of function that fits the data points in my graph by using Geogebra software.

I chose linear function to model it, because the graph shows a general increase on the heights from 1948-1980 so in my opinion the linear will be the best function for it.

After sketching the new model function using the original data using Geogebra. The gradient calculated by the software is represented by :

y= 0.7456x+194.2535

Testing the software linear equation:

y= 0.7456x+194.2535

Let x = 44, we expect y= 225.

y= 0.7456 (44)+ 194.2535

y= 227.0599

There is a bit different from the actual data.

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