1) Drop a ball and measure its height in centimeter.
2) Measure its bance five times for each drop height
![[Graphics:Images/index_gr_4.gif]](Images/index_gr_4.gif)
3) Set number of bounces to five
![[Graphics:Images/index_gr_5.gif]](Images/index_gr_5.gif)
4) Find the mean or the average value for each bounce
![[Graphics:Images/index_gr_6.gif]](Images/index_gr_6.gif)
5) Make a list of the average values
6) Find the average deviation of the mean for each bounces
![[Graphics:Images/index_gr_9.gif]](Images/index_gr_9.gif)
7) Make a list of these deviations
8) Form a table of the drop hight, bounce height and the errors associated with bounce hight.
9) Map two member list from step 8 an make a list consisting of drop height verses the bounce height.
10) Plot data points and use DisplayFunction->Idenetity to hide the plot
![[Graphics:Images/index_gr_17.gif]](Images/index_gr_17.gif)
11) Do a linear square fit to above data and obtain an equation with height as an x-axes.
12) Plot this equation as bounce height verses the drop height
![[Graphics:Images/index_gr_20.gif]](Images/index_gr_20.gif)
13) Combine the plots in step 10 and 12 without displaying them.
![[Graphics:Images/index_gr_21.gif]](Images/index_gr_21.gif)
14) Load package for plotting data containig the errorbars.
![[Graphics:Images/index_gr_22.gif]](Images/index_gr_22.gif)
15) Plot bounce with errorbars verses drop height.
![[Graphics:Images/index_gr_23.gif]](Images/index_gr_23.gif)
16) Show fitted curve through data points and the errorbars together in one plot.
![[Graphics:Images/index_gr_24.gif]](Images/index_gr_24.gif)
17) Load a package for plotting several lists with errors in x and errors in y values.
![[Graphics:Images/index_gr_28.gif]](Images/index_gr_28.gif)
18) Map the ErrorBar on data with errors in the direction of the bounce,
19) make a new list of data with ( + -) errorbars.
20) Plotbounce verses height and hide the plot.
![[Graphics:Images/index_gr_33.gif]](Images/index_gr_33.gif)
21) Combine plot 2 in step 12 with plot 6 in step 20 and show them in one plot.
![[Graphics:Images/index_gr_34.gif]](Images/index_gr_34.gif)
As you can see "Method 1" and "Method 2" are very similar with an exception that method 2 is shorter, more efficient and it contains two short horizontal dashes avove and below each errorbars.