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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27 Responses to “9 Box grid for talent mapping – HR for Excel – Template & Explanation”

  1. Robert Clark says:

    Great stuff! I can understand how to add a slicer to the pivot table, but how do you implement the departmental selector on the 'Filter' formula scheme?

  2. Claus Andersen says:

    Just saw this on your Youtube channel, and it’s areat idea...!

    An easy way to overcome the "ugliness" of pivot tables and get it to look nice (in the format of the Output sheet), would be to simply build a sheet with the nice map at the top, a pivot underneath it and a slicer next to formatted map and then reference each of the 9 cells in the formatted map to the “related” cell in the Pivot.

    Keep up the good work!

    /Claus

  3. Madison Fry says:

    Hi Chandoo,

    This is great! Curious how to make additional columns operate the same as the Department column (ex. have a "manager column") that would allow you to sort a 9 box by manager, area, or team in addition to department?

    Feel free to email me if needed! mfry01@minnetronixmedical.com

    Happy New Year

    Madison Fry

    • Ed says:

      I am curious about the smae thing. I would like to populate the 9 box with other views as well by adding additional columns. IE., I would like to add location, region, etc. Thank you.

  4. Matt says:

    This is great, thank you!

  5. Al says:

    How can i see the whole data set of all the teams in the output table. Need a formula that will pick up all the employees

  6. Heather says:

    Hello,
    Love the template. Thank you. Question - the drop down to pick a department on the Output tab does not seem to work on the downloadable template. Am I doing something incorrectly?
    Thank you!

    • Chandoo says:

      Hi Heather... Thank you. I am using Excel 365 to make the calculations. If you are using an older version of Excel, then the drop-down filter won't work.

  7. Rose says:

    Hi
    I was able to follow your 9 box grid and modified based my needs. However, you tutorial did not show how to you create the filter for the "Pick a department. Can you kindly share how to create that filter that updated the grid. Thank you.

  8. Rose says:

    I am working on this project but I am struggling with the data validation for the department. I copy the worksheets data entry and output as the managers want to see different tabs for each managers.
    I updated the source reference for each tab but It does not update the grid based on the new source. The list was updated but it does not populate the grid based on the performance and potential listed.
    In addition the hyperlink Update Data and View Talent Map no longer works. Can you please help me.

  9. Emmanuel Jose Vasquez says:

    I keep getting this error message in the pivot table:

    This formula is invalid or incomplete: 'The expression is not valid or appears to be incomplete. Please review and correct the expression.
    The following syntax error occurred during parsing: Invalid token, Line 1, Offset 14, ‘.

  10. Hi, I used your 9-box excel template with excel 365. First off, thank you so very much. It is incredibly helpful!! My only question is that the boxes aren't big enough for all of the employees (specifically the middle which we call 'Core Employee'). Is there a way to make the boxes larger? Even though it is in excel, I am not able to increase row height (like I normally do in a speadsheet). Any ideas? Thanks again, Jody

  11. Prish says:

    Hi Chandoo,

    Thanks for the great content. Re. 9 box grid, pls advise how do I increase the size of the box to accommodate more names?

  12. Nabil says:

    Merci Chandoo pour le modèle proposé,
    j'ai une question et un souhait est il possible de développer davantage ce modèle en insérant la photo de chaque employé.

  13. Leah says:

    Hi Chandoo!

    Great tutorial and tool, thank you! Your tutorial didn't include how to create additional filters on the "Output" tab. Could you please share how you did it?

  14. Geno says:

    Can this be done exactly in google sheets?

  15. Joanne says:

    Hi Chandoo,
    Thanks for the video it was really helpful. Is there any way to multi select the dropdown to display multiple or all departments rather than just one at once?

  16. Dana says:

    Hello Prish

    I have Microsoft 365 and I am struggling to make the boxes larger/unable to increase row height; any idea how you made this work? Specifically in the Output tab where the map is?

    Many thanks

  17. Dana says:

    Hello Jody, I have Microsoft 365 and I am struggling to make the boxes larger/unable to increase row height; any idea how you made this work? Specifically in the Output tab where the map is? Many thanks

  18. Connie Richards says:

    Is there a way to change the 9 box wording descriptions, i.e. Work Horses, to our own internal langauge?

  19. Zee says:

    Hi Chandoo, this is awesome and has worked perfectly. Due to a big organisation the 9 box grid on the output file is too small. I tried adjusting using the row/width ribbon under the format ribbon however it doesn't seem to work. Is there an easier way to adjust this?

    Thanks!

  20. Huy Nghi?a says:

    When I drag the formula, it doesn't work, and the order I use with the data changes. In the beginning, the order is it is " candidates," " potential," and " performance," but when it goes to another column, it is " Potential," Performance," and "Candidates."Can you help me? Thank you very much, sending love from vietnam

  21. Lucia says:

    Hi- I am working on the 9 grid project and I am trying to expand the box since I have over 100 names on a few of the columns. How do I do that?

  22. Zara says:

    Hi, Thank you this is great stuff and really useful.

    As well as department as demonstrated on your clip, how can I display all candidates on the grid at once?

    Many thanks in advance

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