Formula Forensics No.004 – Fred’s Problem

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About 6 months ago, Fred asked a question on the Chandoo.org Forums: I need idea on a simpler formula

In column A I have the total sum product of C to AU
Line one has all the names.
A2 = (B2*C2)+(D2*E2)+(F2*G2)+(H2*I2)+(J2*K2)+(L2*M2)+…+(AT2*AU2)
A3 = (B3*C3)+(D3*E3)+(F3*G3)+…+(AT3*AU3)

Is there is simpler way by line to do this without clicking each cell on line 2?

I tried Sumproduct but I think I have received a wrong answer during testing.

 

Hui offered a Sumproduct Formula as a solution

=SUMPRODUCT((B2:AT2) * MOD(COLUMN(B2:AT2) -1, 2), (C2:AU2) * MOD(COLUMN(C2:AU2), 2))

and then followed up with a simpler Sumproduct Formula a day later

=SUMPRODUCT(B2:AT2 * C2:AU2 * (MOD(COLUMN(B2:AT2), 2) =0))

Let’s take a look at this second solution.

 

Setup the Problem

Copy the numbers 10,20 into alternate Cells A2:U2 or download the example file here: Example File (Excel 97-2010)

Copy this formula into B6: =SUMPRODUCT(B2:U2 * C2:V2 * (MOD(COLUMN(B2:U2), 2)=0))


Pull The Formula Apart

Lets take a look inside this formula and see how it works.

=SUMPRODUCT(B2:U2*C2:V2*(MOD(COLUMN(B2:U2),2)=0))

We can see that in the above formula the main function used in the formula is a Sumproduct Function.

=SUMPRODUCT(B2:U2*C2:V2*(MOD(COLUMN(B2:U2),2)=0))

Within the Sumproduct function there are 3 arrays, which are multiplied together

Array 1: B2:U2

Array 2: C2:V2

Array 3: (MOD(COLUMN(B2:U2),2)=0)

What’s in these arrays?

Array 1 is simply the range from B2:U2

Array 2 is simply the range from C2:V2, note that it is offset from the first array by 1 Column.

This is so that the first value of the Second Array matches the first value of the First Array. That is they are both in position 1 within there respective arrays.

Array 3 is where all the action is.

Enter  =(MOD(COLUMN(B2:U2),2)=0) into a cell and press F9

Excel returns: ={TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE}

Lets look at what is happening here

=(MOD(COLUMN(B2:U2),2)=0)

Mod returns the remainder of the first value Column(B2:U2) after dividing it by the second value 2.

Column(B2:U2) returns the Column Number for each cell in the Range B2:U2.

Because this part of the formula is in a Sumproduct formula it is evaluated as an Array Formula and hence it does this for each cell in the range B2:U2, thus returning an Array as the answer.

We can see that if we enter =MOD(COLUMN(B2:U2),2) into a cell and evaluate it with F9

={0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1}

However in this case we want to convert this from an array of Numbers to an array of True/False

A simple addition of an =0 does the trick

=(MOD(COLUMN(B2:U2),2)=0)

Now causes the formula to return: ={TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE}

So How does this go together with the other 2 arrays?

We now have 3 arrays:

Array 110,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10

Array 220,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20

Array 3: TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE

When Multiplying arrays, Excel multiplies the first value of each array and then the second value of each array, etc, effectively doing

={10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True}

You can see above that when the 3 arrays are multiplied it will only be the Odd entries in Arrays 1 & 2 which are evaluated by the Sumproduct, as all the even entries are multiplied by False which is equivalent to Zero

So the above evaluates to

={200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200}

Sumproduct then takes over and adds the values together returning, 2000, the correct answer.

 

Problem Extension

After solving the problem, Fred decided to add a column between each entry in the data set.

The solution is posted in the forum and is also shown in the example file.

You can work through that formula at your leisure, except to say that it is similar to the solution above.

Alternate Solution

Luke correctly pointed out that the data was poorly arranged and the solution would be much simpler had the data been more logically arranged.

However as an Excel practioner we are often called to solve other peoples dirty work.

 

HINTS

You will notice that in the solution of this problem I have done a few small things that make solving the problem easier.

Use Smaller Subsets of the Data.

Instead of putting numbers from Columns B to AU as Fred has I have used a set from Column B to U.

This way I can see all the data on one Excel screen without scrolling as well as the formula links and extents when pressing F2 on the cell containing the formula.

Use Simple Numbers

Use numbers that you can manually check. In this example I can easily, manually, check that the answer should be 2000.

Evaluate

Where ever possible, enter sections of a formula in a cell and evaluate its output:

=(MOD(COLUMN(B2:U2),2)=0) and press F9

={TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE}

See how easily we can check that this section is returning the correct values.

 

OTHER POSTS IN THIS SERIES:

You can learn more how to pull Excel Formulas apart in the following posts:

http://chandoo.org/wp/category/formula-forensics/

The link above, will show you all the posts in this series

 

WHAT FORMULAS WOULD YOU LIKE EXAMINED?

If you have any formulas you would like explained please feel free to leave a post here or send me an email:

If the formula is already on Chandoo.org or Chandoo.org/Forums, simply send the link to the post and a Comment number if appropriate.

If sending emails please attach an Excel file with the formula and data

 

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36 Responses to “Visualizing Financial Metrics – 30 Alternatives”

  1. Although I am one of the contestants, I must wholeheartedly admit that the Dashboard of Chandeep is the best of all. It's design, colors, message-conveying is the greatest. My regards!

    • Ahmad says:

      I would like to learn how Chandeep highlighted the graph when he made a selection on the slicer.

      Any links to previous posts perhaps where this was covered by Chandoo?

      Thank You

      Ahmad

  2. Sethu says:

    Dashboard from Abhay simply rocks. To the point and conveys the intended message even for a novice.

  3. Prabhu says:

    Infographic by Pinank - is looking good

  4. Abhay says:

    I have also contributed to this contest. I am really inspired by various entries in above post. Based on following parameters i would like to rate these:

    1. Explanatory - Whether dashboard will be used to explain certain thing or mention a story. This type of dashboard will be static.

    2. Exploratory - Here user would like to interact more with the dashboard to extract the relevant story or meaning which is not apparent. Hence, this type dashboard needs to have more interactivity.

    3. Scalability - If new or more data can be added to dashboard and still the functionality will work. If user wants to add more companies, years, etc. will it work.

    Based on above criteria I would rate following entries as top ones:

    1. Explanatory - by Pinank
    2. Exploratory - by Chandeep
    3. Scalability - In most of the entries additional work would be required to include more data except for mine. new years or companies can be easily added and analysed in chart by me.

    These entries are really inspiring i will definitely use it to revise my dashboard.

  5. Sukesh says:

    Abhay's dashboard is good however, if Chandeep can go with the trend analysis Abhay has done (line graphs), then maybe Chandeep's dashboard can excel.

  6. Thomas says:

    And now I'm angry that I haven't noticed contest announcement earlier and I've sent what I've sent... Building a dashoboard was supposed to be my goal but lack of time forced me to sent sth simplier and now I can see how big mistake it was (when it comes to fighting a competition like this). Nice work guys! It's realy inspiring! Even less advanced works are intresting because of different task approach. So wance again: thanks 🙂

    If I had to choose the best ones (IMHO) I would go for William and Edouard as a second place (for both). Despite some weak sides (like label errors or "work place" next to a final chart) they meet my sense of clear data visualisation and contain intresting interactive elements.

    The best entry is definitly Chandeep's. Although there was some failing with automatical comenting feature (#arg! in my Excel'10) it's full of advanced dashboarding tricks which makes it easy to read. Furthermore, as one of the few he finished(?) his project - it opens in a "secured mode", with no place to mess anything, no data trash - just choose, point and read/print.
    It all deserves to get the Grand Prize!

  7. Thomas says:

    and BTW: when can we expect another contest? 🙂

  8. Luke M says:

    Big round of applause to everyone who participated. I'm amazed at the creativity of our community. 🙂

    My vote would be for Chandeep, MF Wong, and Miguel.

  9. Paranam Kid says:

    I have not contributed, but have read this post with a lot of interest. I would like to congratulate all participants for there work & inventiveness.
    My #1 spot goes to Gerald for showing all the data in 1 graph & to have still kept it simple & readable.
    I would give a prize for innovation to Pinank for the use of icons.

  10. Danish boy says:

    Great to see so much creativity.
    I have not contributed also, but have wait his post for a long time (because I have the same kind of issue in my "daily life").

    My top 3 is the following :
    - Pinank for the effeiciency and for the style
    - Arnaud for the calculation behind the chart
    - Miguel for the elegant business oriented dashboard

  11. Gaurav Mithani says:

    All the entries look very good. However I feel Pinanks entry seems the best as it is very explanatory with good innovative thoughts.

  12. Emlyn says:

    Hi all,

    Some brilliant dashboard and interactive entries - really nice stuff and lots of clever tricks.

    However, given that the initial question was "Need to quickly visualize 3 variables ( Company, years, Financials) in a single […] chart", unfortunately I don't think any dashboards - as cool as they are - really answer that question. The interactives also assume that this will be opened in Excel rather than seen in a printed hand-out, which essentially means you'd need multiple charts to show all the variables or be limited to a computer screen. Even Chandoo's initial panel chart approach - which is static, and also very simple and clean - is not really a 'single chart'. Furthermore, most of the interactives don't actually show all variables at once but rather slice the data into more manageable chunks, which is not staying true to the original brief.

    So, in light of the above, I'd vote for Gerald in first place, Edwin in second and finally my third chart option in third place (yes, I know, voting for yourself is poor form but unfortunately I think the original question disqualifies most of the entries).

    Anyway, a fun competition and thanks for following up on this Chandoo.

  13. Joanne Forsythe says:

    I am once again in awe of the submittals to a Chandoo contest. The results are so impressive. I have been trying to build nice dashboards for years and take so many courses, but I don't seem to have the eye for design. The color choices, fonts and chart choices are so important and I'm amazed at how some people really have a great talent for making the best selections.

    It's nice to have such quality inspiration!

  14. GraH says:

    I saw Chandeep's entry on his website and I must say that I was very impressed by it. Simply loved it. Somewhat makes it difficult to keep an open mind towards the other entries.
    My ranking:
    1. Chandeep for its completeness as dashboard.
    2. MF Wong/Miguel for "simple" but smart graphs.
    3. Pinank's entry looks like a page from a glossy magazine.

    During scrolling I stopped at Chirayu's entry: easy to the eye.

    But honestly congrats too all for having the balls to participate and thank you for sharing your creativity!! Hat's off to you.

  15. Jeff S says:

    Miguel, MF Wong, and Pinank.
    Thanks to Chandoo and everyone who contributed for the great ideas.

  16. Sonika Singh says:

    Hi,

    I personally liked the dashboard of:

    1. Chandeep - His dashboard is clear, crisp and informative, his color combination and design is awesome, also he has shared few details like operating leverage plus he has added few comments. In totality, its a complete packaged dashboard.

    2. Miguel - His dashboard is simple and all the information is visible in one shot.

  17. David Ramos says:

    It's very interesting looking through these - you can definitely tell who's done courses in dashboard design and with whom!

    I particularly liked Pawels 'sperm chart' 😉 ... squint your eyes - you'll see what I mean). each of the charts or dashboards are put together well - but I agree with Elchin on this one - Chandeeps dashboard set 'tells a story' of the data. Student of Mr Few??

  18. Without a doubt, Chandeep deserves #1. #2 goes to Abhay, and #3 to Pinhank, for the great presentation style if nothing else.

  19. Anthony says:

    Do not apologize for any delay! Moving from one town to the next only 10 miles away is tough enough - let alone a family moving from one country to another!

    THANK YOU for this excellent post!

  20. MF says:

    As one of the participants, I have been looking forward to this post for long. But totally understood the reason of delay, so never mind! Hope all is well in NZ.

    Thank you very much to those who like my chart! 🙂
    Also thanks Chandoo for suggesting a name for it "Container Chart", which I have never thought about.

    Personally I like the infographic by Pinank. Very outstanding design and use of icons. My two-cent worth: Just the lower part of "Yearly Trend" is actually good enough to answer the question, isn't it? 😉

    Cheers,

  21. Kaushik Joshi says:

    What an outburst of creativity!

  22. efand says:

    Vote for Chandeep and Pinank!

  23. Kiran Bisht says:

    Awesome dashboards

  24. Neeraj says:

    Infographic by Pinank is awesome

  25. Ahmad says:

    Thank you so much for sharing!! i learn so much from these posts

    Highly appreciated

    Ahmad
    South Africa

  26. Kirstin says:

    Fantastic responses from all the contestants. Some really great ideas. I'm inspired and will adapt some of these to my own dashboard work. Thanks for hosting such a great contest!!

  27. Diego Jacobi says:

    Thank you for sharing this valuable resources !!!

    I have only a couple of question that wasn't able to solve regarding data-origin.
    Nowadays I have the data coming from a "current" situation from a big database containing all kind purchase-orders information of many different projects. I can calculate the current status of each project investments, but I am not able to track automatically the progress of it month to month or week to week by freezing the calculated metrics on each date. This would let me calculate new graphs and the speed of investments execution.

    My question would be, if it is possible to calculate something with an excel formula and automatically freeze this values in a new row or new column. I guess that right now, Basic is the only way, but I guess that there could be a function to copy-a-range, insert-range-as-value-only as a new row or a new column or display everything down or left.
    This would preserve the excel formulas defined, and add new data, everytime that it is re-calculated.

    Any idea?

  28. Ashwin says:

    Great post , loved all chart representation. Congratulations to all participants and winners.

  29. Canaan Madzingira says:

    I need updates to this article.

  30. Chirayu says:

    I didn't even realize this got posted. Came across it today. Thanks

  31. Fantastic post but I was wondering if you could write
    a litte more on this subject? I'd be very thankful if you could elaborate a
    little bit further. Thank you!

  32. AbdulQadeer AbdulKader says:

    Hi Chandoo,

    I comeback after a long time on your Blog. So I saw it lately. Its a brilliant idea.

    I like all entries and these are amazing efforts from all participants.

    Regards

  33. Gopalan says:

    The report presented by Pinanik is excellent and very innovative. Could be an interesting work for portfolio presentation

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