I make this simple cumulative and histogram plot of a uniform random distribution of real numbers (n=1000):
http://www.filedropper.com/random1_1: random1.dat
And the macro is:
unset key
clear
reset
n=120 #number of intervals
max=4. #max value
min=1. #min value
width=(max-min)/n #interval width
#function used to map a value to the intervals
bin(x,width)=width*floor(x/width)+width/2.0 # cosi viene centrato in mezzo
set xtics min,(max-min)/10,max
set boxwidth width
set style fill solid 0.5 border
set ylabel 'Frequency'
set y2label 'Cumulative frequency'
set y2tics 0,100,1000
set ytics nomirror
set xrange [0.9:4.1]
set yrange [0:25]
set terminal pngcairo size 800,500 enhanced font 'Verdana,14'
set output "testCum.png"
plot 'random1.dat' using (bin($1,width)):(1.0) smooth frequency with boxes title 'histogram',\
'' using (bin($1,width)):(1.0) smooth cumulative axis x1y2 w l lt 2 lw 2 lc rgb 'green' title 'cumul'
Now the output.png is:

How I can tell to Gnuplot I want to take not only the cumulative plot but also the numbers coming from it saved in a particular file.dat ?
You can save the data after applying smooth with set table .... In the simplest case, if you need only the cumulative data, just use:
set table 'random1-smoothed.dat'
plot 'random1.dat' using (bin($1,width)):(1.0) smooth cumulative
unset table
For better inclusion in your script you could also wrap the whole, existing plot command in set table:
...
set table 'random1-smoothed.dat'
plot 'random1.dat' using (bin($1,width)):(1.0) smooth frequency with boxes title 'histogram',\
'' using (bin($1,width)):(1.0) smooth cumulative axis x1y2 w l lt 2 lw 2 lc rgb 'green' title 'cumul'
unset table
set terminal pngcairo size 800,500 enhanced font 'Verdana,14'
set output "testCum.png"
replot
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