Formula Forensics. No 007 – Sumproduct

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One of the most asked questions within the posts and Forums at Chandoo.org is “How Does Sumproduct work ?”.

Rahul recently asked for an example in Excels Sumproduct Formula post;  Comment No. 55.

So today in Formula Forensics we will take a look at just that with a few worked examples.

Sumproduct

Excels help defines Sumproduct as:

So what are these arrays referring to:

An array in Excel can be :

A manual Array:     {10;20;30}

A Range:              A1:A3

A Named Range: MyRange1

Where MyRange1 is defined as a defined range in the Name Manager.

A Named Formula: MyRange2

Where MyRange2 is defined as a Formula returning a range in the Name Manager.

 

Lets look at each

You can follow along in the Example file on Sheet1

An Array

In C2 type: =SUMPRODUCT({10;20;30})

Excel will display 60, which is the Sum of the array elements =10+20+30

A Range

C7:          =Sumproduct(C4:C6)

Excel displays 60, which is the Sum of the cells from the range C4:C6 =10+20+30

A Named Range

In the Name Manager or Name Box define a Named Range

MyRange1:         =Sheet1!$C$4:$C$6

Then in C10 type:

C10: =Sumproduct(MyRange1)

Excel displays 60, which is the Sum of the range elements =10+20+30

A Named Formula

In the Name Manager define a Named Formula

MyRange2          =OFFSET(Sheet1!$C$3,1,0,3,1)

Then in C12 type:

C12:       =Sumproduct(MyRange2)

Excel displays 60, which is the Sum of the range elements from cells C4:C6 =10+20+30

 

You may be asking why use Sumproduct when we can use a simple Sum to add up 3 numbers?

The answer is to show you what Sumproduct is doing, it is Adding up each Array element.

 

What about the “Product” part of Sumproduct ?

Remember back at the start where we saw the Definition of Sumproduct,

SUMPRODUCT(array1, [array2], [array3], …)

Only Array 1 is required, Array 2, Array 3 etc are optional, that’s what the square brackets [ ] mean.

 

Multiple Arrays

Goto Sheet 2 in the Example file:

We will look at a simple example using two arrays

The data consists of Sales data.

Often we want to know what the total sales are

We do this by  adding a Sales column

Which multiplies the Qty and Price columns

And then Sum (Add) up this new column

Returning our Total Sales of 15,000

 

Now we can manually check the above as the numbers are simple eg: 100*20 = 2,000 etc

And we can sum up the Sales and see that we in fact had total sales of 15,000

 

Well this is exactly what Sumproduct is made to do:

In a Blank cell enter: =SUMPRODUCT(D4:D8,E4:E8)

Excel will return 15,000.

So what is Sumproduct doing?

Lets look inside and see what’s going on

In the Example File, Sheet2, H1 there is a copy of the data laid out as below

Note that our formula =SUMPRODUCT(D4:D8,E4:E8)

Has two Arrays

Array 1: D4:D8

Array 2: E4:E8

Note that each corresponding Array Element is multiplied together

100 x 20

20 x 200 etc

These are the products of the two Arrays

Finally the Products are Added together and the correct answer 15,000 is returned.

So Sumproduct is the Sum of the Products of the Arrays

Of course we can extend that to a large number of Arrays, columns in this case, if we wish.

 

Sumproduct with Logic

In the above two examples we saw that Sumproduct can Sum a single Array and can Sum the Product of two or more Arrays.

We can use that to our advantage and build logic into the arrays, allowing us to optionally include some array elements and leave out others.

How?

Sumproduct will always add up the product of all Arrays.

So by including an Array where the elements within the Array that we don’t want to Sum are Zero and the Elements within the array that we do want to Sum are 1 we can control what is included in the final Summation.

Goto our Example File on Sheet3

Lets say we only want to include the Sales from our Northern Region

One way to do this is to purely delete the other entries

But what if we could do that without altering our worksheet or there are thousands of rows of data?

This is where Sumproduct comes into its own.

What we need to do is add some logic to our equation, effectively doing:

Lets try it with Sumproduct

In Cell F12: type =SUMPRODUCT(D4:D8,E4:E8,{FALSE;TRUE;FALSE;FALSE;TRUE})

Excel displays a –

Excel doesn’t know what to do with the True/False and so converts them to 0

We can force excel to evaluate these as numbers by adding a simple “1*”

In F14: Type =SUMPRODUCT(D4:D8,E4:E8,1*{FALSE;TRUE;FALSE;FALSE;TRUE})

Excel now displays 5,000 the total sales from the North

To see what has happened in F16 type: 1*{FALSE;TRUE;FALSE;FALSE;TRUE}, but don’t press Enter press F9 instead.

Excel displays ={0;1;0;0;1}

The use of the 1* has converted each of the Array elements from a True/False to a 1,0 respectively.

So our 3 arrays are now:

Now adding an Array of 1*{FALSE;TRUE;FALSE;FALSE;TRUE} every time we wanted to add some numbers isn’t a practical solution.

Excel has the ability to work construct an Array on our behalf!

In E18: enter  =SUMPRODUCT(D4:D8,E4:E8,1*(C4:C8=”North”))

Excel will display 5,000

So 1*(C4:C8=”North”) is exactly equal to our previous array 1*{FALSE;TRUE;FALSE;FALSE;TRUE}

1*(C4:C8=”North”) = 1*{FALSE;TRUE;FALSE;FALSE;TRUE}

At the heart of this is that Excel is evaluating each cell in the Range: C4:C8 against our required logic =”North” and setting up an Array for us internally.

Simplify

The power of Sumproduct is therefore in that we can now simplify and extend

In cell E20 type: North

In cell F20 type: =SUMPRODUCT(D4:D8,E4:E8,1*(C4:C8=E20))

Excel will display 5,000

This simple addition allows us to vary the Summation based on the value in E20

We don’t need to multiply our logic array by 1, we can actually use any number or another Array.

In cell F22 type: =SUMPRODUCT(D4:D8,(E4:E8)*(C4:C8=E20))

This works as (C4:C8=E20) is returning an Array of True/False which get converted to an array of 1/0’s when subject to any maths.

The Math in this case is the multiplication by the 2nd Array (E4:E8)*(C4:C8=E20)

 

In Cell F24 type: =SUMPRODUCT(Qty, Price *(Region=SalesRegion))

Excel will display 5,000

But notice that by using Named Ranges/Formula how simple the logic of the equation has now become.

 

Rahul’s Question (Multiple Criteria):

In Comment No. 55: Rahul asked, “Can you give an example work sheet of above example

Sheet 4 in the Example File is the answer.

In Cell C23: type: =SUMPRODUCT(- -(A2:A21=”Luke Skywalker”),- -(B2:B21=”West”),C2:C21)

Excel will display 141, which is the sum of the Sales made by Luke Skywalker in the West Region.

However using what was learned above, this is better simplified to:

C26: =SUMPRODUCT((Name=SalesMan)*(Region=SalesRegion)*Sales)


The Double Unary

In the formula above Chandoo has used what is known as a Double Unary, which is 2 – signs next to each other (I have inserted a space above to make it more legible).

Two – signs are the same as saying

– -(A2:A21=”Luke Skywalker”) = -1 x -1 x (A2:A21=”Luke Skywalker”)

-1 x -1 is 1

Technically this is the most efficient way for Excel to perform any maths on the Array

– -(A2:A21=”Luke Skywalker”)

So that the Array of true/Falses made by (A2:A21=”Luke Skywalker”) is converted to an Array of 1/0’s for use in Sumproduct.

At the slight expense of speed but for improved readability and understandability by others I prefer the use of 1* instead of – – and you will mostly see that convention in my posts.

Chandoo:            – –(A2:A21=”Luke Skywalker”)

Hui:                       1*(A2:A21=”Luke Skywalker”)

In fact any maths performed on the array will convert its contents to an array of 1/0’s, so long as the maths doesn’t change the Arrays values

For a real good discussion on this topic have a look at the post The Venerable SUMPRODUCT at ExcelHero.com

 

Other Links to Sumproduct

http://chandoo.org/wp/2009/11/10/excel-sumproduct-formula/

http://chandoo.org/wp/2011/05/26/advanced-sumproduct-queries/

http://chandoo.org/wp/tag/sumproduct/

http://www.excelhero.com/blog/2010/01/the-venerable-sumproduct.html

 

DOWNLOAD

You can download a copy of the above file and follow along, Download Here.

 

OTHER POSTS IN THIS SERIES

You can learn more about how to pull Excel Formulas apart and what makes them tick in the following post:

Formula Forensic Series:

 

FORMULA FORENSICS NEEDS YOUR HELP !

I am running out of ideas for Formula Forensics and so I need your help.

If you have a neat formula that you would like to share and explain, try putting pen to paper and draft up a Post as Luke did in Formula Forensics 003. or like above.

If you have a formula that you would like explained but don’t want to write a post also send it in to Chandoo or Hui.

 

XMAS BREAK

This will be the last Formula Forensics Post for 2011, but rest assured that we will be returning in early 2012.

I’d like to take the opportunity to thank Chandoo for allowing me the space and freedom to post pretty much what ever I’ve wanted at Chandoo.org. I hope you have enjoyed my contributions to the Chandoo.org community over the past year.

On behalf of Eva and myself I’d like to wish you all a very Merry Xmas and a Happy and Safe New Year ahead

Hui…

Merry Xmas

 

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41 Responses to “How to use Excel Data Model & Relationships”

  1. Ashish Youngy says:

    Data is Excel 2013 behaves so much like a OLAP cube when using with PivotTables. And this is actually wow. Consider learning not just DAX but MDX too 🙂 Happy Excel

    @Chandoo.. Have a nice and safe time in US. Best Wishes. And when they are publishing your interview in Entrepreneur 🙂

  2. Buzz says:

    I have been using PowerPivot in Excel 2010. My understanding was (via PowerPivot Pro blog) that Power Pivot would NOT be available in Excel 2013 in all versions; my recollection is that it was only going to be available in certain enterprise subscription editions. Thus, for individual users, it will no longer be available? For that reason I have moved some of my projects to Tableau, and do not expect to upgrade to Excel 2013.
    Can you confirm the availability of Power Pivot for all Excel 2013 users , or will it be restricted and unavailable for some users?

  3. Oz says:

    Just this weekend I upgraded from Home Premium to Professional Plus and spent time with Power View and PowerPivot.

    Up to that point I never saw myself in VLOOKUP Hell, and it may not be going away any time soon. I'm surprised to discover how many of my clients are still on Excel 2003. And then I have Mac users who don't have a lot of this great stuff available to them at all.

    These are great features and I'm going to dive into the Data Models. Unfortunately, I suspect, for me, the practical use may be limited to blogposts because I can't teach Power View in my workshops or send a client a spreadsheet that has a Power View in it.

    • thundom says:

      Hi OZ,

      I think the Microsoft would only upgrade the excel to a certain level instead of making it so powerful that it might threat their BI product. You know these "powerful" stuff can be easily done with a entry level crystal reports version.

      Glad to listen to ur opinion on it.

      I spent quite some time and energy on Excel and used it a lot, but now I am focusing energy on BI software like crystal reports.

    • thundom says:

      We both know that based on the technology today. All the time we spend on the Macro and advanced function of Excel can be done easily with other softwares which costs only hundreds of bucks.

      • Hui... says:

        @Thondom
        I don't think Excel tries to be the solver of all problems
        It is a generic tool
        Which for about 95% of people will do what they want 95% of the time
        There will always be specifics where specific custom software will do better than Excel
        It is the commonness of Excel which means that I can send a model to you and it will work , most of the time, that is its strength, of course combined with its flexility in being able to be adapted to suit most needs

        • thundom says:

          Hi Hui,
          You are right.

          But,

          for the business and individual, who spend too much resource on Excel to meet their BI requirements and other processing requests.

          Should they open their eyes to other ways to do it, in this age? Especially for many people try too much time to process stuff with thousands lines of macro programming.

          It is just as when human being created gun fire, the martial arts would not be that effective.

          Ppl need to be prodent when they choose their solution.

          • Hi guys, I just came across your conversation. I have an example of BI vs. Excel stuff. Here in Russia there is an ERP-system called "1C". It became a defacto standart for accounting, planning and BI / analytics. It is positioned as a flexible and powerful system and it really is.
            But its reporting abilities aren't user-friendly (or maybe just not me-friendly).
            Many reports require programming and all those SQL things, so that is common for a company to have a couple of programmers who develop and code those reports.
            So the common solution is to export data to Excel and then process it to be more suitable for further analysis or reporting.
            Well, it's obviously not a rule of thumb that special BI software can outperform Excel in day-to-day routine.

  4. Tris says:

    Hi Chandoo, thanks for publishing great Excel information. Pardon the ignorance as I havent used Data Model nor PowerPivot. But having seen your video clip on PowerPivot, how does Data Model differ from PowerPivot - the "process" seems familiar? Have a great day! And Excel to new heights! Regards,

  5. Nolberto says:

    Excellent posting, some pride themselves for having sheets with thousands of formulas or complicated formulas, but in the end the important thing is to work as little as possible.

    • Oz says:

      @Nolberto let's not gloat yet. Some people are forced to have thousands of complicated formulas when they don't have the fancy tools. I'm sad for the 2003 users who have to use SUMPRODUCT when the rest of us have SUMIFS available.

      In the end, I think the important thing is clean, trustworthy data--however you arrive at it. People survived more than 300 years with slide rules and paper. No PowerPivot for the Wright Brothers.

  6. koi says:

    hi chandoo,

    i added 2 column into sales, 1st column vlookup customer ID to CUST sheet to get the male or female, then 2nd column vlookup Product ID to Product sheet to get the product name, then after that i make pivot table out of sales sheet.

    but then the result is really different from yours

    the purposes is just try to do the vlookup vs add to data model to see if they get same result

    thanks

  7. koi says:

    ups sorry, didnt see that you're filtering using slicer..then it is good now the result are same with less effort 🙂

    thanks

  8. SPrasad says:

    Hi Chandoo, .I am interested to know whether we can build a star schema or snow flake data models through relations in Excel? (trying to correlate with Qlikview)

    • Chandoo says:

      Hi there,

      You can create a Star schema for sure. Snow-flake is possible too. As long as all relationships are one to many (or one to one) anything is possible.

      • Nestavaro says:

        What if customer.profession change its value after sometime?
        Supposed we have monthly data for Sales. What if one customer is a doctor in Feb, then a pilot in October, for example?

        How to build data model for such that situation?

        Thank you.

  9. Raghavendra Shanbog says:

    Hello ,
    I find this option similar to that of MS Access.
    In MS Access as well we have relationship concept and once you create a relationship, you can start creating number of queries based on that.
    But MS Access is not so user friendly and basically its database. Good that we are getting those options/functions in Excel.
    Thanks for sharing this info.

    Regards,
    Raghavendra Shanbog

  10. What is star schema and snow flake.??? Can we have next article on that if it is useful for us???

  11. Roberto says:

    Hi there, can anyone help? I tried testing this out in Excel using two tables. When I go to the Data tab the Relationships button does not appear at all. I am using Microsoft version 14.0.4760.1000, Microsoft Office Professional Plus 2010. Does this version have this capability? Or is there an add-in required?

  12. […] even a layperson can perform if they have the almighty Excel 2010 and PowerPivot installed. Or Excel 2013′s Data Model, which lets you mash up data from Excel Tables and serve them up directly as PivotTables with not a […]

  13. Chandeep Chhabra says:

    Chandoo/Hui,

    The dates grouping feature does not seem to work in Data Model. Is that true or am I making a mistake somewhere?

  14. Jay says:

    I don't think this is really for "lookups"...

    Try creating a pivot with sale ID and customer name in row fields. It will give you ALL customer names per sale ID.

    You'd need to use RELATED function in a new column in powerpivot if you want something equivalent to "vlookup"

  15. Aslam says:

    Please explain the difference between data model and power pivot, the functions of both of them are different and similar
    thanks

  16. […] Handling large volumes of data in Excel—Since Excel 2013, the “Data Model” feature in Excel has provided support for larger volumes of data than the 1M row limit per worksheet. Data Model also embraces the Tables, Columns, Relationships representation as first-class objects, as well as delivering pre-built commonly used business scenarios like year-over-year growth or working with organizational hierarchies. For several customers, the headroom Data Model is sufficient for dealing with their own large data volumes. In addition to the product documentation, several of our MVPs have provided great content on Power Pivot and the Data Model. Here are a couple of articles from Rob Collie and Chandoo. […]

  17. Bernadette Savage says:

    I need to use a slicer to allow a user to select vendor by name. In the background, I need to obtain the vendor ID to link to multiple datasets where the name may not be spelled consistently. Any advice?

  18. Andrea says:

    I've tried this in Excel 2016. It works great.
    I can even create Cube Formulas on the Data model after I've inserted the pivot table.
    Just for the fun of it, I tried to see if I could do Cube Formulas without creating the pivot table in advance. I can define Cube members, but it seems as if the measure part is playing tricks on me.

    I can't get a Cube Value for Chocolates sold to Male customers.
    With the Pivot created the formula looks like this (and works fine)
    =CUBEVALUE("ThisWorkbookDataModel";"[Customer].[Gender].&[Male]";"[Product].[Category].&[Chocolates]";"[Measures].[Sum of Quantity]")

    Does anyone know how I can solve this, or am I asking the impossible?

  19. Kwabena Anaafi says:

    I want to see the video on this topic

  20. nestavaro says:

    What if customer.profession change its value after sometime?
    Supposed we have monthly data for Sales. What if one customer is a doctor in Feb, then a pilot in October, for example?

    How to build data model for such that situation?

    Thank you.

    • Chandoo says:

      In such case, you need to make relationships based on two columns. This kind of feature is not supported in Excel. You can use Power Query to merge tables based on multiple columns and return a consolidated giant table to Excel for reporting.

  21. nestavaro says:

    Is it able in MS Access?
    I have never used access before.

  22. faisal says:

    thanks chandooo your article is very helpfull for troubling peoples' especially in office environment under boss pressure.

  23. Ron says:

    Here is an introduction to PowerPivot.

    The link above is broken

  24. Venkatesh says:

    Hi. This has really taken my interest.. I have huge data tables to work with...and I use vlookup to fetch certain data. I have different data in different sheets...

    Like customer sales (customer code, product code,qty, piece rate, total amount, branch code) data in one sheet
    Branch details in another (branch code, branch address, state , region)
    Customer Geographical Data in third sheet (region, region name)
    Product details in fourth sheet (product code, product description and related)

    Now I use a vlookup to get branch name, state and product name respectively into my main sheet.

    Now what I want is

    customer code, product code,qty, piece rate, total amount, branch code) data in one sheet, branch address, state , region, region name, product description

    Can't his be done thru data model... I tried but it's not working... Eitherway, I will gonthru thr session on e again and give a try... Any help, is appreciated. Thankyou

  25. Achyutanand Khuntia says:

    Dear All,

    i am striving to do reverse relationship in Power pivot ,

    example : -

    1 - Data sheet
    2. - Source data

    step to stops - import first data sheet in power piovt and then source data , made relationship with both sheet , after created relationship i am able to do put related formula in source data sheet only (=releted('Source data'[Amount]), if i go to put formula in data sheet , parameter of Source data are not visible ,

    could someone educate me how can i do , and utilize related formula in data sheet.

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