How to get a bar plot with unequal bin intervals?

How can I show the following bars (bar_heights) with unequal bin intervals (bin_edges)?

bin_edges = [0 5; 
        5 20;
        20 100];
bar_heights = [20;10;30];
bar(bar_heights)

Basically, I would like to see the bar with height 20 starting at xtick 0 and ending at xtick 5, then the bar with height 10 starting at xtick 5 and ending at xtick 20, and the bar with height 30 from xtick 20 to xtick 100.

[Sim]

Maybe a way, but I am not able to show the last edge of the last bin, i.e. 100:

bin_edges = [0 5 20];
bar_heights = [20 10 30];
bar(bin_edges,bar_heights','histc')

Answer 1

[Voss]

bin_edges = [0 5 20 100]; % include the last edge (100)
bar_heights = [20 10 30];
bar(bin_edges,[bar_heights(:); 0],'histc') % append a 0 for plotting the last bin
xlim(bin_edges([1 end])) % set xlim to avoid showing the last (0-height) bin

[Sim]

thanks a lot @Voss!

[Voss]

You're welcome!