I know that errorbars or candlebars with whiskerbars can be plotted by gnuplot by giving it mean, max, min, deviation...
Is there a way how to compute these automatically? I have got a file, each line should be one errorbar, first column is x, another eleven columns are distinct measurements of some f(x).
I will show how to plot error bars representing +/- sigma. You can adjust the formulae to suit if you want error bars representing unbiased standard error or min/max or something else.
# N is the number of data columns, i.e. columns 2 through N+1
sumx(N) = sum [i=2:N+1] column(i)
sumx2(N) = sum [i=2:N+1] column(i) * column(i)
mean(N) = sumx(N) / N
sigma(N) = sqrt( sumx2(N)/N - (sumx(N)/N)**2 )
N=11
plot 'datafile' using (column(1)) : (mean(N)) : (sigma(N)) with yerrorbars