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…
46 Responses to “6 Best charts to show % progress against goal”
Chandoo, thanks for another interesting post.
One thing I'm missing is the question: What is progress, what does one want to know exactly?
I'm asking the question because I think of progress as not the same as "state of completion." Percentages/bars, etc., as shown above, are great to communicate state of completion, but less so for progress.
That's because project progress is how state of completion *relates to* the resources spent so far. Resources can be things like dollars spent, hours spent or project time passed. For example, 5% would be "good progress" in the first week of a one-year project, but terrible progress in the last week of the project.
The way I prefer to report progress is as a simple line chart with time on the x axis, and maybe a marking for the end point (and maybe an "ideal"/"as planned" line).
If it really must be a single number, you could go a EVA-ish route and divide the current % of completion by the current % of project time passed, which gives you a schedule performance index (1 or bigger than 1 = good; smaller than 1 = bad). For this, your suggested charts should work great!
I avoid 'progress' except where I can objectively assess progress, such as counting bricks laid or concrete poured. For intellectual work, I don't think that its possible to measure progress to completion with any reliability or credibility. I prefer to update forcasts of completion date, because that's where the effect of completion on dependent activities, deliverables and outturn value of the project is felt. This is also referred to as the 0-100 method. An activity is set at 0 complete until its actually finished, when it is set at 100% complete.
Hi Chandoo,
Great post! I have a preference towards thermometer charts too mainly because of the target/actual comparison.
Just an FYI...seems like the the screen shot for the pies #4 are under the #5 heading. Also the pies conditional formatting is something that doesn't accurately portray completion since the pies are segmented into quarters.
AND also a little trivia...those "pies" are called Harvey Balls, named after Harvey Poppel...
Chandoo,
I wonder. Is there a trick to unzipping your files?
I always seem to end up with a series of XML files rather than an XLSX.
Thanks a lot. 🙂
Eric~
Hi Chandoo,
Thank you again for this amazing help you are so resourcefull to make us little bit more amazing everyday.
When I click on the link on the page "http://img.chandoo.org/c/best-charts-for-goal-progress-comparison.xlsx" it is always bringing me to a zip file with all XML files without the XLSX file. I tried with mozilla and IE.
Thank you
[…] http://chandoo.org/wp/2014/03/10/best-charts-to-show-progress/?utm_source=feedburner&utm_medium=… […]
@All having trouble with download file.
1. Download the file.
2. Rename the extension as .xlsx
3. Double click or open it in Excel
Doesn't make any difference Chandoo, still end up with a zip file full of xml related files/folders
@Ian H
Download the zipped file and rename it to *.xlsx
where * is the filename
ps: Great name!
Many thanks for your help Hui but not sure why you are repeating what Chadoo said and which I first posted to because it didn't work for me. I did as he said and it didn't work, hence my post.
Chandoo says:
March 11, 2014 at 1:52 am
@All having trouble with download file.
1. Download the file.
2. Rename the extension as .xlsx
3. Double click or open it in Excel
Also, please note that we are investigating an issue with our webserver settings that may be causing this behavior. Sorry for the inconvenience. I am hoping to get this fixed in next 48 hours.
I used thermometer chart & conditional formatting using traffic lights. I just recently completed a dashboard I hope you can take a look but don't know where to send it. Thanks.
The in-cell bar charts is very interesting. This is not to be used as one can easly do manipulations by changing fonts/ font size etc
Hi..this is really helpful..
but I hve one quick ques..is it possible to hve conditional formating for chart graph based on text value and not the numbers..if I take your example project one bar should be red...if data is project 2 then it should be blue..basically we mke chart based on countries n each countries are assigned specific color...so I want a way where I can use conditionsl formating and not do it manaually each month.
You can set up conditional formatting rules to do this.
See this... it may help
http://chandoo.org/wp/2010/04/01/incell-panel-chart/
Hi Chandoo,
Great article and will be very useful.
One question - is it possible to have in-cell bar chart and the percentage complete (similar to icons)?
Try something like :
=CONCATENER(REPT("|";A1*100);REPT(" ";25-A1*25);"|")
it's quite nice
Hi Chandoo,
I am a great fan of you since i stumbled upon your blog. Your blog is very informative and insightful. I liked the way you presented the 5 steps using thermometer chart. I was very much inspired by that and tried to make my own version with 20 tasks to complete. On and after 17th step it was going downward. So I wanted to ask you that is there any limitation to thermometer chart
[…] shows us the 6 best charts to use, when you want to show your progress against a goal. There’s a sample file to download, so you can experiment on your […]
Is there any xhart is available which can show achivement percentage it may 80% or 120% means more an set target.?
Hi Chandoo,
Love your site. I have a small question regarding plotting data that contains ranking. I have 2 fields - Country, Rank. Note that i don't have the absolute values from which the rank has been calculated. So what is the best way of showing this on a graph given only the above 2 fields. Appreciate it
Regds,
Ross
@Ross
I would assign a set of simple numeric values to your ranks
Even a simple 1 to 10 makes plotting relativities easy
Dear Chandoo Sir,
Really awesome post.
Thanks.
Vignesh.V
We can always rely on Chandoo to explain to us clearly things that perhaps we already knew but weren't putting into practice the best way.
A limit I never liked about data bars was that they are monochrome - one colour for positive values, one colour for negative. So a couple of weeks ago I sat down to figure out a workaround. If anyone's interested...
http://digimac.wordpress.com/2014/06/29/multicoloured-data-bars-in-excel/
Epic fail on my part! After three months I just found out that what worked on my machine, didn't work on others.
Problem solved, more functions added.
The link above at
To hide them use ;;; custom cell formatting code (how to).
appears to be incorrect. However, using the downloaded file and selecting a cell(s) from that example provides the easy answer.
I wondered if the pies could have a color other than black and white (which, of course, would raise the color-blindness issue that you referred to with the traffic lights example).
Hi Chandoo!
Thanks for the informative post!
I have managed to understand and replicate all of the progress graphs except one, the thermo bar. I read up on the tutorial of how to create them, and I understand almost everything about the look and use of the bar, but one problem I am having is that I cannot seem to "center" the bar into the cell like you did. The reason being that even though the highest input (progress) percent is 100%, the program automatically puts in another 20%, so instead of 100% stopping at the end of the graph, it stops 20% short and I have a huge space at the end because of it.
How did you counter that problem? I have been trying for hours to fix it
@Aden
Set the Axis limits to Minimum 0 and maximum 1
Thanks. I started running a project recently, and I found your charts to be really helpful in tracking it's progress. I'm glad I found your page.
Hi Chandoo!
Great stuff for my customized project moving forward. However, when I use the blue block bars, the %ages spark up to smt like 5000% and cannot lower them nor scale them. If I input manually such as 50% without formatting a column, the bar for 50% e.g., will fill the cell completely, so that's kind of odd... what to do?
Thanks!
I guess I have the same problem. When I put 50 and click on the percentage, it is giving me 500%. Can someone help us on this. Thanks in advance
[…] http://chandoo.org/wp/2014/03/10/best-charts-to-show-progress/ […]
Hey,
Thank you for making this page. I do have one problem with the thermo graphs. Whenever I try to drag the graphs from one cell to the cell beneath it, the data remains selected on the former.
For example, if I had a thermo with a target number in A1 and an actual number in B1 with my thermo in C1, when I drag my thermo into C2, C3, etc., all of the graphs show the results from A1 and B1.
Is there a way to have these graphs update automatically as I will be regularly working in an excel file with hundred of entries?
P.S. I removed the $ symbols from 'Select Data', but that did not fix the problem.
Thanks again!
@Lisa
Not sure but it sounds like the new cells have Conditional formats applied
Select just the new cells
Select Conditional formatting, Clear Rules, Clear Rules from selected Cells
Hi Chandoo.
I am charting on some defaulter data where greater than zero is not desirable. Problem is that I have to highlight zero as target and anything above as undesirable. Seek your help
Hi Chandoo
Great post!
But I am wondering why bullet chart is not on this list. Is there a reason for its absence?
Thank you for these instructions. The bonus 5 Step Progress Meter you included would be perfect for my project. Where can I find the instructions?
Hi,
Do you know of any simple way to reduce the Data Bars padding so that they fit within the cells?
Thanks and great posy!
Regards
Appreciating the dedication you put into your website and in depth information you
provide. It's good to come across a blog every once in a while that isn't the same out of date rehashed information. Wonderful
read! I've bookmarked your site and I'm including your
RSS feeds to my Google account.
With #1 and #2, how would you also apply a red amber green to the bars (is it possible within chart formatting or would you need to utilise CF)?
I'm thinking of an in cell bar of some kind which will show against a known goal end date how far along with the goal you are (this is to be used for 'how many of the X number of people that I need to train in X timeframe, have been trained and therefore which of each training group is on track to complete on time or falling behind'.
So there would be knowns of number of people, target end date but I'd want it to reflect accurately as some groups of trainees might only have 50 in so their 50% done would be different to a group of trainees where their group had 200 people in it - but 50% would still be the same. Somewhere there'd probably need to be something which noted that there was a different volume of trainees so it could but the remaining effort to train people into context?
Hope that makes some kind of sense, I could be waffling!
[…] charts. Its got things like “Best Charts to Compare Actuals vs Targets” and “Best charts to show progress“. I love me some charts […]
Thanks a lot my dear.
very Useful it for me.
Another great post, thanks for sharing.
Chandoo, I am just starting an Excel class, and everything in the class is new to me. I am learning how to use all of these great charts but don't know what they are all used for. Thank you for your post and I think I will be able to use this down the road throughout my business career
in the above charts , Chart #2: Conditional Formatting Data Bars
->Assume if we have completed 35% of work it is showing in Blue color ,in the same cell remaining 65% of work should shows in some color , how to show?
Hi Sir,
This is Rachit and I am a big fan of you and your work. This is to request you please make a video for Beverages Sales performance data analysis in Excel.
Regards,