When you are doing your experiment, I'm assuming this might be weights on the copper wire, or maybe a weight applied on it, in either case you should be measuring your original length, then measure each subsequent change in length as you apply various forces... at the same time recordings your results in a table.
Now from your set of results you should be able to calculate the stress value (force/ cross sectional) area, and the corresponding strain value (change in length/ original length)
From these values you can plot a stress Vs stain graph, i.e each point.
Now for each of your experiments you have a different set of data points, draw a trend line, (a linear line which best fits the data points) now from THIS trend line calculate the gradient, and this will give you your Young's Modulus.
Assuming that you are doing the same experiment fives times, then you should end up with 5 different (or similar, depending on the accuracy of your experiment) YM's
From this you will probably need to average your results and then show the uncertainty, i.e. the range of your results over 2
so let's say you got the values 2, 4, 3, 5, 2 the average is 3.2 and the range/2 is 1.5
so your Young's Modulus of the copper wire would be 3.2 +/- 1.5 (units)
With regards to the uncertainty part, it's best that you ask your teacher what they would like with that
Hope that helps!