Calculating Maximum Change [solutions & discussion]

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Maximum change problem - Solutions, Discussion & Video

Last Friday, we had a fun little Excel challenge – Calculate Maximum Change. More than 170 people commented and shared their solutions to this problem.

And the best part?

The best part is the variety of solutions & thinking displayed by our community. So if you are one of those 170, puff your chest & pat yourself on the back. Go ahead, I will wait.

Today, lets take a look at some of these awesome formulas and understand how they work. Read on and watch the video you below to gain few awesomeness pounds.

First, lets understand the problem

Here is a look at the problem:

Calculate maximum change - formula problem

We need more information to answer this question.

  • Are we talking about positive change, negative change or absolute change?
  • Are we talking about % change or value change?

In the original problem, even though I did not mention it, most people assumed that we want absolute change of value (ie the answer is 40, for Product 2).

But in real life, you may want to understand the problem a little more before writing any formulas.

Note: The data is in C3:C8 for last month and D3:D8 for this month.

Solution #1: Using MAX array formula

This is the solution most people got.

The array formula:

=MAX(C3:C8-D3:D8)

press CTRL+Shift+Enter after typing.

How it works?

C3:C8-D3:D8 portion:  This gives the result {-20;40;15;21;0;-25} in array form.MAX(…) portion: This simply calculates the maximum value of above array and returns 40 as answer.

Why press CTRL+Shift+Enter (CSE)?

We need to press CTRL+Shift+Enter because MAX() is not capable of handling arrays. If you write MAX({-20;40;15;21;0;-25}) you would get 40, but the same array when calculated by doing math on ranges will not work. To force MAX to treat arrays, we need to press CTRL+Shift+Enter.

Solution #2: Using MAX+ABS array formula

Quite a few people figured out that the formula needs to work even when the change is negative. And that is where this new solution comes handy.

The array formula:

=MAX(ABS(C3:C8-D3:D8))

press CTRL+Shift+Enter after typing.

How it works?

ABS() portion: converts the change values {-20;40;15;21;0;-25} to positive {20;40;15;21;0;25}

Rest of the formula is same as solution #1.

Solution #3: Using INDEX to avoid Ctrl+Shift+Enter

The thing with Ctrl+Shift+Enter is that you have to remember it. If you accidentally press Enter instead of CSE, the formula stops working. One way to avoid this is to route the calculation thru an Excel function that can natively process arrays. This is where INDEX (or SUMPRODUCT etc.) come handy.

The formula:

=MAX(INDEX(C3:C8-D3:D8,0))

or

=MAX(INDEX(ABS(C3:C8-D3:D8),0))

How it works?

Same as Solution #1, except for this formula you do not have to press Ctrl+Shift+Enter. The INDEX will automatically calculate the array and send numbers to MAX. Then MAX feels mighty comfortable dealing with those numbers and spits out the answer as 40.

Learn more:

Solution #4: Using AGGREGATE

AGGREGATE() is a new function introduced in Excel 2010. This too, like INDEX & SUMPRODUCT can process arrays natively (provided you are using one of the aggregates like LARGE). Kyle, one of our commenters shared 2 brilliant solutions that involve AGGREGATE.

The formula:

=AGGREGATE(14,4,(C3:C8)-(D3:D8),1)

How it works?

14, 4 portion: This tells AGGREGATE that you want to calculate LARGE value (14) and you want to consider all cells (4). To understand more about AGGREGATE see the links below.

(C3:C8)-(D3:D8) portion: As seen above, this just gives an array – {-20;40;15;21;0;-25}

1 portion: This tells AGGREGATE that you want 1st largest number.

Learn more:

Solution #5: Using MMULT and AGGREGATE

Now this is what I call a scary formula. It can potentially waste your entire afternoon when you try to understand it first time. But once you get it, you feel awesome. This too is posted by Kyle.

The formula:

=AGGREGATE(14,4,MMULT(C3:D8,{1;-1}),1)

How it works?

Watch the video. Explaining how this works in text is difficult.

Learn more:

I am still trying to understand MMULT(). It can be as complex and deep as string theory (or recipe of making bread at home). Go thru below links to learn more about it. Make sure you put on your helmet, cause it will blow your mind.

More ways to get maximum change + Bonus problem

Watch below video to understand how to solve the maximum change problem and another related problem.

Click here to watch if you can’t see the video above

Download Answer workbook

Click here to download answer workbook and examine the formulas to learn more.

What did you learn from this formula challenge?

I learned how to use AGGREGATE, Array SUMIFS and got a better handle on MMULT.

What about you? What did you learn thru this challenge. Please comment and let us all know.

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66 Responses to “Budget vs. Actual Charts – 14 Charting Ideas You can Use”

    • Linwe says:

      Hi there:

      I'm interested in understanding exactly how contestants #'s 1, 8 got their surplus or shortfall to show up at the top of the bar (is this overlapped or stacked somehow) and change colour?  I hope this makes sense.  I've tried to find samples and I can see contestant 8 (cuboo) may have used something called graphomate but I can't use this.  

      I need to create a bar chart that shows budget, and actual variance whether it be a surplus or a shortfall and I would like make it look like option 1 or 8 above but haven't  a clear idea how to do it...any help would be greatly appreciated!

      Regards..Linwe 

  1. [...] heute können alle Beiträge auf “Pointy Haired Dilbert” gesichtet und bis zum 12.04. bewertet werden. Falls mein Vorschlag - Nr. 8 - gefällt, freue ich [...]

  2. Jon Peltier says:

    #6 is the best here. Simple, no extraneous visual effects.

  3. Kevin Stanford says:

    I was all set to vote for #9...until I noticed its lack of y-axis labels. So I have to go with #6 also.

  4. I think #6,#9 is enough .

  5. Barfly says:

    #9 is my favorite
    Nice data/ink ratio 😉

  6. Tony Rose says:

    I agree with Jon - #6 for me.

  7. Gale says:

    8 & 14

  8. Fabrice says:

    I go for # 9 (simple) and #14 (complete)

  9. fulvioo says:

    I go for cuboo #8
    cheers

  10. Robert says:

    #6 for overview at a glance / top management
    #8 for deeper analysis / those who need more detailed information

  11. Bob Gannon says:

    #14 although I think you only need the bottom panel and I then would stack the Center charts vertically to make Center comparisons easier.

  12. Denise says:

    #10 gets my vote.
    If there is a second place, then #14
    denise

  13. Tin Seong KAM says:

    Hi, if I was not wrong, Samples 3,4 and 5 were created using Tableau software and not Excel. For more information on Tableau you might want to visit http://www.tableausoftware.com/. It was initially designed by Prof. Pat Hanrahan and his PhD students. I am not their salesperson but I thought someone might want to know more about this particular technology.

    • Linwe says:

      Hi Tin Seong Kam:
       
      Thanks - I have looked at Tableau before.  I have also found the means to reproduce something similar to chart 8 without using graphomate, and also chart 7.  I proposed chart 9  as well but the overlap is confusing to some.
      I am really not too concerned about showing actual budget figures but the variance in $ and % is important for my particular use.  That is why I gravitate to the charts that seem to easily tell us that we have a surplus or a shortfall.  
       
      Thanks!
      Linwe
       

  14. Anamika says:

    11, 6, 9 (presque pareil)
    7 pour la clarté

  15. Haki says:

    cuboo #8 ist my favorite
    best regards...

  16. la'cruse says:

    8 is fantastic

  17. Stefan Sandauer says:

    I prefer N#8 - N# 1,7 & 8 use the settings of Rolf Hichert...

  18. SANTOSH CHAUBE says:

    6 : The GURU (read "Jon Peltier ") has spoken,
    SOO easy on eyes!

  19. Sumit says:

    Hi Chandoo,

    I liked Cuboo's submission. So #8 gets my vote.

    Regards,
    Sumit

  20. jram says:

    Number 8 by far. Even though it's not part of the data display, the comments feature sells me. Variance explanations are as important as the actual variances.

  21. Cyril Z. says:

    I visually prefer #8, but #3 is really easier to understand, even if it lacks a lot of information (inverting budget/actual), legend, etc...

  22. [...] All in all there are several great entries suggesting a good variety to present budget vs. actual performance. Go check them out. [...]

  23. [...] reshape, zoo by learnr A reader of a Pointy Haired Dilbert blog enquired about best ways to visualise budget vs. actual performance. In response PHD challenged his blog readers to contribute their visualisations made using Excel or [...]

  24. anyone willing to post their xls for these? Some really excellent exmaples.

  25. PublicSectorPlanner says:

    To avoid the summary execution of the person presenting these to an executive team these charts must handle overspending as well as underspending, be comprehensible in 5 seconds and show the key fact clearly. The key fact isn't budget or actual - it's the magnitude of the gap!

    Therefore:

    #14 for nailing the key fact and being able to handle overspending. The winner therefore.
    #6 for nailing speed-reading and being able to handle overspending, but somewhat obscuring the key fact. Second place.
    #8 for nailing information depth and aesthetics. Third place.

    I really wanted #8 to win, but that's the technician's view not the end-user's.

  26. [...] Todas as contribuições podem ser vistas no seguinte endereço: Budget vs. Actual Charts – 14 Options You can Use Posted on April 5th, 2009 http://chandoo.org/wp/2009/04/05/budget-vs-actual-charts/ [...]

  27. Social comments and analytics for this post...

    This post was mentioned on Twitter by NancyJHess: I like to explore fav tweets of those I follow. Here is one from DutchDriver http://twurl.nl/17eiap Creative visual charts: Budget vs Actual...

  28. jon says:

    number 8

    clean, full of info, qualitative as well as quantitative

  29. Virender Singh says:

    Hi,
    I Like 4 chart in above as per the following ratings:-
    no 1# -> 14***
    no 2# -> 7***
    no 3 # -> 8**
    no 4# -> 1.3**

    I will be greateful if someone can send me the process of making all above 4 charts.

    Virender

  30. Shazbot says:

    Does anyone know what type of chart #6 is (chart name?)? Also, how do I create this is Excel 2007?

  31. Hui... says:

    @Shazbot
    I'd call it a Column and Bar chart, but don't get hungup on names

    To make it try this:

    Setup the chart as a Clustered Column Chart
    Change the Series so there is 100% overlap, ie: One column is in front of the other
    Change the Budget series to a line chart
    Set the line color to none
    Set the marker style to a Flat Line
    Change the marker width to make it the same width as the bar
    Change colors and other chart properties to suit

  32. Caroline says:

    Does anyone have an idea on how to create chart #1?
    Thanks

  33. Stefan says:

    Caroline, please see the german page: http://www.hichert.com/de/software/exceldiagramme/55

    there you can find the original example for nr1.
    best regards,
    stefan

  34. Hui... says:

    Caroline
    This is a Clustered Stacked Column Chart
    Which has the column under the Shortfall/Excess colored the same as the Budget
    Have a look here

    http://chandoo.org/forums/topic/question-about-budget-v-actual
    &
    http://peltiertech.com/WordPress/clustered-stacked-column-charts/

  35. Vijay says:

    Hi,
    Is it possible to get the source files like the other visualisation challenge (on sales).
    Thanks,
    Vijay

  36. Vijay Raghavendran says:

    Dear Chandoo,

    I discovered your site by pure chance and I am really thrilled about it and I am learning a lot.
    Is it possible to post the source file for this visualisation challenge?

    Thanks,

    Vijay

  37. Greg says:

    Dear Chandoo,

    How do I create Chart #10 (comparing Budget vs Actual Performaces) by cost center by quarter without the cumulative performance. Do you have an actual example that I could use?

    Thanks,

    Greg

  38. OKI says:

    HI

    Does anyone can help me to a to create chart #7? I'm beginer in excel , I started to work two weeks ago and my boss ask me to follow the budget/actual until the end of the year.
    SO I really need your help.
    Thanks in advance

    p.s Sorry for my english ( i'm french)

  39. Hui... says:

    @OKI, Greg

    I have made a mockup of #7 and #10
    It is available at:
    http://chandoo.org/wp/wp-content/uploads/2009/04/Bud-Act-visualizaion-challenge-7+10..xlsx

    #10 is a straight, Pivot Chart/Table but the data has been rearranged to get it into the pivot table

    #7 is 2 charts, being a simple Bar Chart and a Scatter Chart with 100% Error Bars
    I have used Named Formulas for the two charts.

  40. OKI says:

    HELLO Hui
    Thanks you very much for your hepl , i really appreciate

    Have I nice week

  41. Tony says:

    Hi,

    I was wondering how can you replicated chart 1.3? The bars looked like there overlapped on two different axis?

    Tony

  42. BINDU says:

    I think 1 & 3 are good.

  43. Sawan says:

    Hi Chandoo,
    Please can you provide a link of the excel sheet for 1. Chart "3 colors and everything is clear"

    I would like to drill into the spreadsheet and learn the secrets as how the chart was made.

    Many thanks,
    Sawan

  44. Hui... says:

    @Sawan
    It is probably 12 seperate charts, I will assume snapped to the underlying cells to ensure they are the same size
    The left 3 Charts have a vertical Axis
    The bottom 4 Charts have a horizontal Axis
    The remainder have no axis
    The remaining text maynot be part of the charts but is probably cell content

  45. Juan Carlos Etayo says:

    Saludos,

    Como puedo descargar estos maravillosos ejemplos para estudiarlos y analizarlos deseo aprender a realizar este tipo de graficas en Excel.

    Gracias,

  46. Michelle says:

    Dear Chandoo and Hui,

    Please would you help me (step by step if possible) to create Chart #8?

    Many thanks in advance!

  47. Phoebe says:

    Dear Chandoo,

    I think chart #8 is really great. Would really appreciate if you can show basic step to create it.

    Thanks 🙂

  48. Sawan says:

    Hi all,
    Is there any step by step tutorial to recreate the the chart #1 please?
    Would really appreciate if someone could show me how it done.
     
    Regards
    Sawan

  49. ExcelNerd says:

    Can someone tell me how do you create chart number 2? Thanks!

  50. Robert says:

    Am I the only one that can not display any of the images?  Would love to take a look at these.  This is the ONLY page on the whole website I have had this issue with. 🙁

  51. Hassan Mirza says:

    Dear All,
    how can i create chart # 7? is there any link where i can subscribe to your website by paying a certain amount. i want to learn some good excel techniques.
    please let me know.

  52. Carlos says:

    Cant see the images 🙁

  53. Sunil B says:

    Where can I find the link to download some of the above charts?? these are extremely usefull chart and would like to utilize the same.
    Waiting for the reply.
    Thanks..

  54. Khaled Mohamed Abdel Aziz says:

    I am interested for # 1,6,7,8,9,10,11 its very exciting for me .

  55. satyapal says:

    Hi,
    Just wanted to check, is there any possibility that pivot table or drop down work in power point?
    Regards
    Satyapal

    • Chandoo says:

      @Satyapal... you can only use static images or slide animations in Power Point. Not features like pivot tables or drop downs. However, you can embed the entire workbook (or sheet) in a presentation. When clicked this will just open Excel so your users can play with the data.

  56. Ramesh N says:

    Is there any instalment kind of facility available for joining the online course of Rs.12000/-.

    Regards

    Ramesh N

  57. Tim says:

    Hi,

    I badly want to replicate #10. Can someone help me.. I've checked google to help but I can't figure out how to add the total 🙁

    Regards,
    Tim

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