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 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…
34 Responses to “Find Quarterly Totals from Monthly Data [SUMPRODUCT Formula]”
Chandoo,
Very nice post. In most cases I would use a formula such as yours so that copying is automatic. But for instructional purposes, consider this alternative for the Q1:
=SUMPRODUCT((MONTH(B$4:B$15)={1,2,3})*C$4:C$15)
Besides being shorter, this formula is crystal clear in function. Then for the other quarters you would just change the array constants to the months of that quarter. For example, Q2:
=SUMPRODUCT((MONTH(B$4:B$15)={4,5,6})*C$4:C$15)
Now I know there are a lot of accountant types out there that think using constants in a formula is some sort of heresy. I think that idea is silly. If the formula is clear and maintainable, constants are ok by me. But if this idea shakes anyones soul, these constants could easily be encapsulated in named formulas and then the formula above could look like this:
=SUMPRODUCT((MONTH(B$4:B$15)=Quarter1)*C$4:C$15)
The SUMPRODUCT function is truly magical, as you put it. This article goes into some advanced uses:
http://www.excelhero.com/blog/2010/01/the-venerable-sumproduct.html
Regards,
Daniel Ferry
excelhero.com
I have a column of dates(xx/xx/xx) on a sheet that represents when a task is completed. How do I code a formula on a separate sheet(Summary Page) of the total number of completions within a quarter?
ie;
Task Date Completed
task1 02/05/14
task2 04/01/14
task3 08/01/14
I need a formula that scans that column and then adds the number of tasks completed within each quarter of the year.
Chandoo,
as usual, great tip.
Ever since i read this post, I am struggling with a table that has the same layout as the example, and I wanted to add the totals per year and per Q, years as rows, Qs as columns. The first thing I've noticed is that I had to add the double minus to the roundup portion in order to make it work, even my dates ARE dates...but what i cannot figure out is how to summarize by year. I've tried adding a Year(a1:a20)=2010 to the sumproduct, but it returns 0, and I have the Pivot table below to prove that wrong (aaah, how easy was to have that with the pivot table....!!)
btw, I was playing around with PTs, adding calculated fields and items to solve variations between Actuals and Budgets and Prior Years. Once you get the formulae right, it's sooooo easy to do, and the results are awesome !!!
all the best,
Martín
Amended Chandoo's formula to add a year and it worked fine.
SUMPRODUCT((YEAR($B$4:$B$15)=2010)*(ROUNDUP(MONTH($B$4:$B$15)/3,0)=ROWS($E$4:F4))*$C$4:$C$15)
Chandoo
I generally do quarters in the same way galthough I would have changed the number format of cells E4:E7 to Q0, so that I could reduce to formula length by referring directly to these cells. SUMPRODUCT((ROUNDUP(MONTH($B$4:$B$15)/3,0)=E4)*$C$4:$C$15).
I like Daniel's suggestion of a named range. Great site.
Thanks Chandoo,
I use a tbl to create relationshipp for each period to its quartile
Jan Q1
Feb Q1
Mar Q1
Create a lookup in a helper column to lookup the correct quartile.
Use Sumif on the column with the quartile
Best regards,
Winston
@Daniel: Excellent insights as always. I am finding SUMPRODUCT formula really really powerful.
I didnt know that we can write conditions like ={1,2,3}. I remember trying that but it didnt work. thanks for telling me how to do it. I like your idea of named ranges. It will keep things simple and also let the reports to easily transformed if one needs to change Q1 from JAN-MAR to APR-JUN.
@Martin: See Alan's comments. Also, I liked your question, so I am doing a follow up post on it today. Refer to it to find out how you can get quarterly totals from multi-year monthly data.
@Alan: Very good tips. Thank you. Infact, in the download file you would find the formula to be slightly different. I used ROWS() so that I need not change the values for each quarter. I guess either technique works fine.
@Winston: Thanks for sharing your technique. Using helper columns is a fine option too. It keeps the formulas clean and simple. I was just curious and investigated to find if there is a formula that would avoid helper columns.
Chandoo, I learn so much from your posts. Thank you for this!
I was wondering, how would this get applied to a dashboard with a dynamic date slider?
Right now I show sales for the week, month, and year based on the date I choose. I've yet to discover how to calculate quarterly numbers based on my date selection.
My date is determined by: =DATE(2018,12,31)+7*(A2-1) with A2 updating based on the slider.
Sales This Month is calculated as: =SUMPRODUCT((MONTH(Data[Order Date])=MONTH(D2))*(Data[Sales Amount])) with D2 containing the date formula above.
ANy suggestions?
Thanks for your question Jason.
It seems you have data at date (or even lower level). In such cases, you need either two conditions or probably SUMIFS to solve this. For example with SUMIFS,
=SUMIFS(data[sales amount], data[order date],">="&quarter_start, data[order date],"<"&quarter_end) where quarter_start = date(year(a2), choose(month(a2), 1,1,1,4,4,4,7,7,7,10,10,10), 1) and quarter_end = date(year(a2), choose(month(a2), 4,4,4,7,7,7,10,10,10,13,13,13), 1) can work.
How about if we have the data in weeks and we want to roll it up in Q1, Q2, Q3, Q4
will this work for Q1:
=SUMPRODUCT((MONTH(B$4:B$15)={1,2,3,4,5,6,7,8,9,10,11,12,13})*C$4:C$56)
nice article to use the new things on the excel to calculate the needed ports...The use of tables shows the image view than the wordings, since images are easily recorded in the mind of users than the words to be read...
[...] Quarterly data in a formula May 4, 2010 at 9:12 AM | In General | Leave a Comment Tags: month, formulas, flag, quarter, sumproduct Chandoo wrote a post about combining the power of SUMPRODUCT with a small mathematical trick in order to calculate a quarterly sum from a monthly data table. [...]
I have an issue, much different yet has some similarities...
I have two worksheets... 'Summary' worksheet and 'Stop pays' worksheet.
The summary sheet has the $ amount of checks paid each week. (example. A1= 1/1/10, B1= $100,000.00; A2= 1/8/10, B2= $120,000.00, A3= 1/15/10, etc...for 52 weeks)
On the stop pays sheet is a list format of each check that was voided at a later date... (example. column A= original check date, column B= check voided amount, column C= void date. A2= 1/1/10, B2= -$100.00; A3 = 1/1/10, B3= -$150.00; A4= 1/1/10, B4= -50.00; etc...)
On the summary sheet in C1, I need to calculate the total checks actually paid out. I have been trying to use combinations of SUMPRODUCT with VLOOKUPS, but can't get anything to work. The result in C1 should $99,700.00
Any thoughts, all help is appreciated. Thanks, Kyle
@Kyle
Give this a try in Summary!C1 and copy down
=SUM($B$1:B1)+SUMPRODUCT(1*('Stop Pays'!A2:A100<=Summary!A1)*('Stop Pays'!$B$2:$B$100))
@Kyle... you can use sumif formula...
Assuming your summary sheet is in range A1:B10, stop pays sheet is in range A1:B20.
in summary c1 write = b1 - sumif('stop pays'!$a$1:$a$20,a1,'stop pays'!$b$1:$b$20)
Read more about sumif formula here: http://chandoo.org/wp/2008/11/12/using-countif-sumif-excel-help/
@Hui. Thanks, but for some reason this only worked for the first row (C1), when I copied down the results werent accurate.
@Chandoo. This seems to work perfectly. Thank you.
Thanks again.
@ Kyle
Chandoo's formula is giving the amount each month (Cheques - Stop Pays)
Mine is giving a running total from 1/1/10 to the date in Summary!Column A
I have monthly data in one sheet and want to calculate quarterly and annual data is two other sheets. all monthly data is arranged across columns. so A1 is jan 2000, b1 is feb 2000, c1 is march 2000 and so on.
Please help
@Priyank: Assuming your months are (in date format) in A1:X1 and corresponding values are in A2:X2, you can calculate quarterly totals like this:
=SUMPRODUCT((ROUNDUP(MONTH(A1:X1)/3,0)=1)*(A2:X2)) for Q1. Modify it to get Q2... etc.
you can use similar logic with YEAR() to get yearly totals.
This formula is not working properly in one of my sheets with horizontal cash flows using columns instead of rows. For example, Q1 only sums M1 and Q2 is summing up M2:M4. It doesn align propoerly. The formula works if I create a simple test using same format in excel but not in the model. Can I send the excel to someone?
Thanks,
Marc
Item 01-Mar 02-Mar 03-Mar 04-Mar Tot.
Soap 24 12 15 13 (E5-F5)+(G5-F5)+(G5-H5)
Ketchup 12 10 8 14
Tea 10 8 5 8
Soup 12 7 9 11
Coffee 22 26 14 13
Hi!!,
I need your help in fixing above problem.
I do get day day wise closing stock of my company.To get day sales have to
substract today's no from prev.day's no. But sometimes today's no is big due to receipt of stock.That time I need to substract prev.day's no from today'no. Pls see formula in tot column.Like this I have to do for 31 days and 250 items.I want one formula in one cell give final result(tot)by satisfying above conditions else I have to punch a formula in above column which is boring ang time consuming.Thanks in advance.
Hi Chandoo et al,
My question builds on the post regarding quarterly totals from monthly data. I'm having trouble getting the formula to work when the time period I want quarterly totals for exceeds 12 months. In my case, I have 240 months and need these to be collapsed into 60 quarters. Any suggestions? Or should I simply cut and paste the formula for each 12 month period?
thanks
Hi Chandoo,
I have a similar problem, but with a twist. I often compare actual and budget data where the actuals are in one range with Jan-Dec data and the budget is another range with Jan-Dec data.
The problem I have is that at the beginning of the year I know the budget for all 12 months, so my range is populated for Jan-Dec. The actual data is populated as we complete those months.
Here's the rub: when caluclating totals for Oct, say, the formula to retrieve Q4 data needs to be smart enough to NOT include the November and December budget amounts, which are already populated in the table.
how can I do the same using SQL query?plz help
[…] Find Quarterly Totals from Monthly Data [SUMPRODUCT Formula] | Chandoo.org - Learn Microsoft Excel O… […]
How do we use this for getting totals for the latest qtr? anybody?
My challenge is I don't want to use a helper column. Want to derive the latest qtr and then average the numbers for that qtr . Ex this gives an error :
AVERAGEIF((ROUNDUP(MONTH($A$2:$A$7)/3,0),(ROUNDUP(MONTH(MAX($A$2:$A$7))/3,0)),B2:B7))
Hi
I am arranging a spread sheet for work but am struggling with a date function. we have customers in our service for up to 2 yrs, however we have to calcuate the number of days they have been in service each quarter. For example Q1 will run from 15/01/15 to 06/04/15 but my customer could have joined on 03/09/14 ... i don't want to calulate all the days just the days in the quarter... which should be upto 91 days max. Can any one help at all?
Dear all
I can see your formula and I think it works perfectly for what I want to achieve, ie pull quarterly figures from a range showing monthly data. There's only one problem. I cannot follow how the sumproduct formula is working in this case. Could anyone please help with an explanation on what is going on in that formula so I can hopefully be able to apply it.
Thanks
Hi,
I need to come up with a way to show the current quarters info, this would be run off the month end date.
For example: If the month end date is 28.2 then I need to bring back Jan data and Feb data or if the end date was 31.3 I would need to total Jan, Feb and Mar data.
I am thinking of creating unique references such as the quarter plus which month it is in the quarter ie if it was feb, the unique reference would be Q12 (Q1 for the quarter and 2 for the month as it is the 2nd month in the quarter). Would I need to use an index or offset formulae.........
Any help would be appreciated.
Greetings,
Can we make this a little more involved just month and sales results.
What if I have the following columns:
Vendor Name
Market
Line of Business
Month
Sales
Now I want to calculate the average quarterly sales by vendor, Market, and Line of Business
Hello Hesham... thanks for your question. You should use Pivot Tables for such things. See here for a getting started guide - https://chandoo.org/wp/excel-pivot-tables-tutorial/
Im a little confused, I have the following table of sales
Sales Sheet
ColA=dates(dd/mm/yyyy)
ColE=amount(total amount of sales in $)
eg
A E
11/02/2020 $20.00
01/01/2020 $15.00
03/12/2020 $16.00
05/07/2020 $23.00
etc etc
Report Sheet
I want to report the running total of sales for each quarter and update the figures here as more get added
Cell B2= Quarter1 total
Cell B5= Quarter2 total
Cell B8= Quarter3 total
Cell B11= Quarter4 total
How do I read the Sales Sheet column A selecting all dates for each quarter and sum total them in The Report sheet. I have tried mucking about with your formula but I just keep getting errors, any help much appreciated
I have problem Statement, my data are monthly i need to do comparison at QTD level say i am second quarter May (so my data should only pick April and May total) and( when in June it should pick Apr+ May +June) - can i your help on this
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
1 2 3 4 5 6 7 8 9 10 11 12