I have made this nice figure in Mathematica:
Now I want to add the values from my text file mytextfile to a plot which I already rendered.
Is there any function I can use to add the a list of values to my already created plot?
I have made this nice figure in Mathematica:
Now I want to add the values from my text file mytextfile to a plot which I already rendered.
Is there any function I can use to add the a list of values to my already created plot?
Assume that you have your plot made.

Click in the plot and copy it (ctrl-C).
Start a new cell in your notebook and type:
plot =
and then paste (ctrl-V) the plot to the right of the equal sign

Now the symbol plot will represent the image.
To plot them together with your data use Show.
Show[
ListPlot[data, PlotStyle -> Black],
plot
]

Side note: If you are creating the plot make the assignment to plot when you create it. For example:
plot = Plot[fun[x], {x, 0, 3}, PlotStyle -> Red]
In[1]:
SeedRandom[1]
points = RandomInteger[100, {100, 2}];
Dynamic@ListPlot[points]
Out[1]:

In[2]:
newPoints = RandomInteger[100, {50, 2}];
points = Join[points, newPoints];
Out[1]:

If, instead, adding points to an existing curve is desired (which is how I originally interpreted the question), do the following. For instance, with the plot
plt = Plot[85 + 1/x, {x, 0, 3}, PlotRange -> {84, 100}]
add points (chosen somewhat randomly, so that they stand out)
newpts = {{.5, 85}, {2., 90.}};
plt /. Line[z_] -> Line[Sort[Join[pts, newpts]]]
Import[],ListPlot[], andShow[]. – J. M.'s missing motivation May 29 '17 at 20:31