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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28 Responses to “FIFA Worldcup 2018 Excel Tracker – FREE Download”

  1. Andy F says:

    Good work as always - I liked the way you did the "menu" on the left hand side (although the buttons aren't lined up between tabs if I'm being ultra picky)

    Have you previously written about the method of extracting the Wikipedia page into Power Query? It's not something I recall seeing before.

    ps other geeky observsations:

    - the bracket columns are too narrow for the date & match number - and will need to be wider still when the team names get populated
    - match 51 should be Moscow (Luzhniki) for consistency
    - it's not possible to be 23 hours ahead of GMT - the International Dateline gets in the way! I think the maximum is 14. There are also a couple of countries who work to a quarter hour to make it really complicated!
    - There's a typo in the how-to - "compated" instead of compared

    • Chandoo says:

      Thanks for the lovely feedback. I have fixed almost all of them.

      1) button alignment: this is tricky as row heights can change between sheets.
      2) Column width is fixed now so bracket view looks better
      3) Updated the stadium name
      4) Did not bother with the 23 hours ahead thingie. This is more of a novelty feature 😛
      5) Fixed the type
      6) Fixed an issue with live score table. This should work as long as the points table is maintained in wikipedia page - https://en.wikipedia.org/wiki/2018_FIFA_World_Cup

      7) I have not discussed the technique of reading all tables on webpage to one big table. Watch out for a blog post on this soon.

      • Andy F says:

        Button alignment is one for the ultra-OCD sufferers 😉 There are ways, but only for those with too much time on their hands.

        • Chandoo says:

          Aah, Excel. The perfect tool for people like us. Everything (cells) is in same shape and size by default and aligned perfectly. 😀

          • Etienne says:

            Is there actually a way to copy row heights (in the same way you copy column widths?)

            By the way Chandoo, great post. I'm forwarding to my department. I actually use another query from the same page to automatically fill in the team names for the knock-out stages (I made one for round of 16 which I then duplicated and edited for quarter-finals etc.) This is incredible, I was always wondering how to do these type of queries from the web, and now I know 🙂

  2. Jake says:

    Hello!

    This is quite amazing and incredibly cool to use 🙂

    Testing the constraints of this sheets a few errors popped I noticed:
    - Vlookup Group E-H refers to column J instead of E (eg. Brazil gets the same points as Russia because the formula looks up Russia twice)
    - Power query only has 29 lines, the overview of has 32 but the 3 countries from group A are lost as the overview is refreshed - causing N/A in the group stage colums

    • Chandoo says:

      @Jake.. thank you. I am sorry for the errors. I could not test the live points table until the games began. I see my folly now. I have fixed both issues and uploaded a new file. As the points table relies on a wikipedia page, if someone decides to change the layout or rename a column it can seriously harm this template. I took some precautions in the Power Query layer to adjust column names dynamically etc, but it is not foolproof.

      Try downloading the newer version and let me know if you see something funny.

      • Jake says:

        No worries!
        Was able to fix the vlookup myself but the power query had me bit stumped 🙂 And wanted to give you a heads-up to everyone can enjoy it!

        Thanks for the awesome sheet!

  3. Darren G says:

    Hi,
    Thanks for sharing this world cup tracker. Certainly makes it more interesting when the data is current. As a newbie, it also helps to have a couple of mistakes to find whether unintentional or not.

    Thanks again

  4. Christian says:

    Hi,

    Your v-lookups in the "Group Stage" tab for groups E, F, G, and H (all the ones under column O) are pointing to the wrong country. They all point to column J, so whatever happens to the countries in column J will also be reflected for the countries in the groups in column O for that same row.
    Just thought I'd call that out. Thanks for the great work on this!

    • Chandoo says:

      @Christian... Thanks for trying this and letting me know about lookups. I have fixed the issue now. Please download latest version for that and few more fixes.

  5. Sheeloo says:

    Refresh All did not work correctly. Team names vanished though points were updated.

    • Chandoo says:

      @Sheeloo... Can you please try with latest version (download again using above links). I tested up to latest Iran's stunning win over Morocco and it works.

  6. Gsm says:

    Dear Chandoo

    Thanks a lot for this worksheet.

    However, while refreshing the data, I am getting error message as "Initialisation of Data Source failed".

    • Chandoo says:

      May I know what version of Excel you are using? Do you have internet connectivity? If you are familiar with Power Query, try tracing the steps in the query editor. And oh, first start with the latest version of file (link above).

  7. Andy F says:

    @Etienne - yes. Copy row, paste formats will do it, although obviously that will bring the formats of every cell in the row as well as the height.

  8. Rob Tsintas says:

    Latest version seems to be working well.

    One request: the Groups & Points tables on the Group Stage sheet have the team names pre-entered. This means they don't get sorted according to the results.
    On my copy, I've changed them to a lookup, so they appear in the same order as the points table. It would be good if you can do the same if/when you release a new update!

    Here's what I did. It's not the most elegant, but it works, and I didn't have much time to spend on it!

    Using helper values of 1,2,3,4 in columns I and N for each group, the formula for the first team name in group A (cell J4) is:

    =INDEX(points[Team],MATCH(OFFSET(J4,-(I4),0),points[Group],0)+(I4-1))

    This can be copied & pasted to the other team name cells.

    Cheers!

    • Chandoo says:

      Good suggestion. I have made changes to the points table to remove lookups and just show teams in the order they appear in the detailed table. This way, You will see top two teams on first two rows. We could highlight them as well (figured this would make it look like a bowl of M&Ms, so didn't bother) or highlight *YOUR* team.

  9. Paige says:

    I consider my Excel skills as above average but far from guru and I love how your little projects like this get me to look at data in a new way. I would like to expand on the data in the points table through the use of some calculations but I am a little challenged by the data coming across as text. The Pts column is easy to deal with, but I'm having problems with the GD. The negative goal differential looks like it may be noted with an en dash instead of a minus sign, but if I search for an en dash in the data Excel doesn't find any. I would like to include conversion to a minus sign in my little macro so I can get everything to numbers but so far I am not having any luck. Any thoughts? Thanks for your help.

    • Chandoo says:

      Thanks for such kind words 🙂

      I suggest adding an extra step in Power Query to convert points, GD & other columns to numbers. You can replace em dash in PQ. I did not do it as this will add another layer of dependency and should the wikipedia page change, one more reason for the query to fail.

  10. Petros says:

    As always, an awesome spreadsheet from Chandoo. I love the Power Query score update without macros. The country watch-out is a unique feature as well!

    For those who like a predictor template with flag lookup and a ribbon UI, here is our spreadsheet:

    https://www.spreadsheet1.com/fifa-world-cup-2018-russia-free-prediction-templates-for-excel.html

  11. Pranav says:

    Great template!

    I came across another one with image vlookups for country flags

    https://eexcel.co.uk/downloads (World_Cup_2018_Sweepstake.xlsx)

  12. Sean says:

    This is a great Template.
    I am running Excel 2010 with the PowerQuery add-in running.
    The scores will not update, so I followed the error and the second operation (Fitlered rows) says that the table is empty.
    After a few minutes on Wikipedia, I realise that my PowerQuery skills are not good enough to work out what the issue is.
    Any suggestions?
    I would like to fix it myself is possible.
    Thanks,
    Sean.

  13. Juan Pablo Diez says:

    Where can I see the results for a specific match?

    Thanks!

    • Chandoo says:

      @Juan... You can now. I have included a results tab that shows match scores. This too is a live table. Just refresh data to get new results. Please download latest version file from links above to use this feature.

      PS: There is another version coming soon with all goals too. I just have to spend some more time polishing the Json to table Power Query thingie.

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