Hello Michael, Thanks for your reply. I am afraid i don't understand at all where you are coming from when you say i quote " it would really be much easier if you showed us a picture or gave us the code that almost works so we don't have to keep guessing at how to interpret your words"

A picture of what? which code? I have nothing of the sort.

I have only my data which i managed to set into nested lists as i have explained, and the sample you chose is good one, notably, {{{2, 3}}, {{4, 5}, {6, 7}, {9, 8}}, {{{8, 4}, {6, 9}}, {{3, 5}, {5, 2}, {7, 8}}}}, this is it! my data is structured in exactly the same way, please consider all single pairs as a nested list as well as i just did to the first one {{2,3}}. My list nl just carries on along the same structure, namely, single pair, 2 pairs, 3 pairs...for over 100 lists. I can't be clearer than this. I have nothing else no picture no code. As i admitted i am a beginner with Mathematica and i was happy having so far been able to set my data into a nested list like i did. Again, all i want is to be able to plot about 15 (+/-5 depending on the requirement but this should not be relevant to you) of my nested lists as separate sets of bar charts (each nested set showing 2 bars of different colors for each pair (which represent a code and a frequency if you must know) it contains either 1 pair,2 pairs, or 3 pairs)) next to each other in a row. From your feedback, i am guessing you are complicating the issue by thinking too much.

Moreover, i am altogether surprised when you say "You can berate us or you can give us what we're asking for so that you can get your problem solved" How can i berate you when i am trying to learn from you. And how can i be holding something to stop you from helping me? You are wrong here,

Anyway, i thank you again and trust with the above clarification, you would catch my drift .

Sincerely, Adam Cherad

I think I'm starting to understand, but again, it would really be much easier if you showed us a picture or gave us the code that almost works so we don't have to keep guessing at how to interpret your words. I know you think you're being clear and that you're amazed that we don't understand, but that's just how it is: we don't understand. You can berate us or you can give us what we're asking for so that you can get your problem solved.

Anyway, what I think I now understand is that you have two problems. You need to "flatten" a data structure in a particular way so that it can be input into BarChart, and you need to put several bar charts into a row. The latter problem is trivial: just use Map along with whatever row/grid structure you want. The first problem is ambiguous, because you haven't given us enough information. Let me demonstrate explicitly.

Here's the sample data you gave us:

nl = {{2, 3}, {{4, 5}, {6, 7}, {9, 8}}, {{{8, 4}, {6, 9}}, {{3, 5}, {5, 2}, {7, 8}}}};

There are two ways to "flatten" this so that each element of nl can be a bar chart:

nl1 = {{2, 3}, {{4, 5}, {6, 7}, {9, 8}}, {{8, 4}, {6, 9}}, {{3, 5}, {5, 2}, {7, 8}}};
nl2 = {{2, 3}, {{4, 5}, {6, 7}, {9, 8}}, {{8, 4}, {6, 9}, {3, 5}, {5, 2}, {7, 8}}};

Which is the one you want?

As for the second problem, I'll assume you want GraphicsRow:

GraphicsRow[BarChart /@ nl1]

Both BarChart and GraphicsRow have options that you can play with to get the display just the way you want. As it stands, the tick labels are obscured, but you can fix that. Or use plain Row instead. Or you can add a layer of List and use Grid or GraphicsGrid.

Grid[{BarChart /@ nl1}]

Hi MiChael, I just looked closer at the bar charts you produced but you seem to have considered only the 2nd number of the pair. I apologize for the confusion; it is clear i am a beginner learning Mathematica, and obviously, my vision is still warped with articulating the critical pivots for an experienced programmer. Anyway, in case you are still interested at wasting few more moments of your time, i clarify as follows: You took the sample nl = {{2, 3}, {{4, 5}, {6, 7}, {9, 8}}, {{{8, 4}, {6, 9}}, {{3, 5}, {5, 2}, {7, 8}}}}; and for this sample what i expected were (ignoring the first list {2,3} which i will nest later), 1) One bar chart set for {{4, 5}, {6, 7}, {9, 8}} with 3 pairs of bars (4-5), (6-7), and (9-8) (call it set1 as a legend), meaning each one of the numbers in the pair should be reflected by a bar. 2) and next to it another Bar chart for {{8, 4}, {6, 9}}, with 2 pairs of bars (8-4) and (6-9) (call it set2) and 3) then another for {{3, 5}, {5, 2}, {7, 8}} with 3 pairs of bars (3-5), (5-2), (7-8) call i t set 3) I hope it is clearer Adam Cherad

Hi there, I am truly taken aback by how much confusion the set up of my query has caused. All i want is to lay a set of bar charts next to each other on a row. The different barcharts represent lists of different lengths which are nested in the main list {nl}, that is all. It should not matter what the nature of the elements is. Even the nesting level could be an arbitrary (L). I did mention i have over a 100 nested list, but it should not be relevant since the code for doing it for 10 sets of barcharts will work for 15 or 20 (i do not intend to lay all the 100 lists in one row) Thank you Michael so much in any case for taking the time.

Thank you again, Michael, You were not shooting in the dark, that's about all i need, and i thought my asking for exactly that was explicit. Setting up legends was never a problem, i did mention it earlier just to indicate that each set of bar charts would have its own name (and i know how to do that). Very grateful, Cheers, Adam

Hi there, I am truly taken aback by how much confusion the set up of my query has caused. All i want is to lay a set of bar charts next to each other on a row. The different barcharts represent lists of different lengths which are nested in the main list {nl}, that is all. It should not matter what the nature of the elements is. Even the nesting level could be an arbitrary (L). I did mention i have over a 100 nested list, but it should not be relevant since the code for doing it for 10 sets of barcharts will work for 15 or 20 (i do not intend to lay all the 100 lists in one row) Thank you Michael so much in any case for taking the time.

I'm struggling to understand what you want.

All the pairs are made up of a code (integer) and a counter, or a frequency

Does that mean that you actually need to do a multiplication on each pair before displaying the chart?

I like the barchart to show them next to each other in a row, but with a separate legend for each

Does that mean you just want multiple BarCharts but arranged more elegantly?

How can i BarChart all the nested lists of the pair of elements, of nl including the deeper levels in one row?

Are you sure you even want BarChart? What you describe here doesn't sound like a bar chart to me. Have you tried the other chart functions?

it only works when I set a loop, like For i to n, barchart each element (i) of the list

Maybe you should provide this loop code so we can at least see an approximation of what you want. Show us the resulting picture and tell us how it differs from what you want.

Hello Michael, Many thanks for your time. The problem with Level 2, is that it opens up all the nested lists into individual pairs, that defeats the issue because Iike the nested pairs to be shown in the barchart as a group. Put simply, I have nested lists of 1 pair of elements {{a,b}}, 2 pairs {{a,e},{b,a}} and 3 pairs {{a,c}, {b,d}, {e,a}} All elements are integer numbers (All the pairs are made up of a code (integer) and a counter, or a frequency (also an integer). I like the barchart to show them next to each other in a row, but with a separate legend for each nest of either 1 pair, 2 pairs or 3 pairs. Thank you again