You have had a good start. JMP, like most statistical packages will require you to have your data organized properly first. That is, each column is a variable, each row is an observation. Therefore, you can use the Stack Columns feature in JMP to quickly arrange the data properly. Here is what the dialog box looks like for the Stack command:
The resulting table looks like this:
Before starting your analysis, notice that the Column 1 has a modeling type of "Continuous" (as noted by the blue triangle to the left of the column name in the column panel area). You want One-way Analysis of Variance which requires that the Factor have a modeling type of Nominal (or Ordinal). So click the blue triangle and change the modeling type to Nominal. Now use Fit Y by X, specify Column 1 as your X, Results as your Y and click OK. The report that appears will have a plot of the data. All options for the analysis will be under the red popup. Specifically you are looking for Means/ANOVA and the Compare Means commands (plus maybe a few others).
However, I did notice something peculiar with your data. The analysis that you included does NOT match the data that you provided. Specifically, look at method 3. The average for method 3 should be 74, but the analysis output that you provided says 73. That could be why you are not getting the results to match. Your captured analysis was not done on the data that you have.
I hope this helps.
Dan Obermiller