Today we will learn how to calculate weighted average in Excel with percentages.
What is weighted average ?
Weighted average or weighted mean is defined as [from wikipedia],
The weighted mean is similar to an arithmetic mean …, where instead of each of the data points contributing equally to the final average, some data points contribute more than others.
…If all the weights are equal, then the weighted mean is the same as the arithmetic mean.
Why should you calculate weighted average?
Well, it is because, in some situations normal averages give in-correct picture. For eg. assume you are the CEO of ACME Widgets co.. Now you are looking annual salary report and being the numbers-gal you are, you wanted to find-out the average salary of your employees. You asked each department head to give you the average salary of that department to you. Here are the numbers,
Now, the average salary seems to be $ 330,000 [total all of all salaries by 5, (55000+65000+75000+120000+1200000)/5 ].
You are a happy boss to find that your employees are making $330k per year.
Except, you are wrong. You have not considered the number of employees in each department before calculating the average. So, the correct average would be $76k as shown above.
How to Calculate Weighted Average in Excel with Percentages
There is no built-in formula in Excel to calculate weighted averages. However, there is an easy fix to that. You can use SUMPRODUCT formula. By definition, SUMPRODUCT formula takes 2 or more lists of numbers and returns the sum of product of corresponding values. [related: Excel SUMPRODUCT Formula – what is it and how to use it?]
So, if you have values in B4:B8 and the corresponding weights in C4:C8, you can use SUMPRODUCT like this to get weighted average.
=SUMPRODUCT(B4:B8, C4:C8)
Caution: However, the above method works only if C4:C8 contains weights in percentages(%) totaling to 100%.
WAvg Formula Pattern (use this with your data)
=SUMPRODUCT(<your values>, <your weights>)What if my percentage weights don’t add up to 100%?
May be your weights are more than 100 percent. Or may be they are less than 100 percent. In both cases, you can use the below formula variation.
=SUMPRODUCT(B15:B19, C15:C19) / SUM(C15:C19)
The idea is to divide the total of weights with the SUMPRODUCT result so that we can adjust Weighted Average as the weights don’t add up to 100 percent.
WAvg Formula Pattern when weights don’t add up to 100 percent
=SUMPRODUCT(<your values>, <your weights>) / SUM(<your weights>)Weighted Average when you have counts instead of weights:
If you have count of observations instead of weights, you can still use the SUMPRODUCT formula to calculate weighted average in Excel.
Here is the formula for above example:
=SUMPRODUCT(B26:B30, C26:C30) / SUM(C26:C30)
Notice that this formula is same as the formula for weighted average with weights not adding up to 100 percent.
WAvg Formula Pattern when you have counts instead of weights
=SUMPRODUCT(<your values>, <your counts>) / SUM(<your counts>)Weighted Average with Extra Conditions
Let’s say you have city wise observations and weights. And you want to calculate the weighted average, only for Boston values. In this case, you can use a variation of the formula like below:
=SUMPRODUCT((C5:C16)*(B5:B16=F5),D5:D16)/SUMIFS(D5:D16,B5:B16,F5)
How does this formula work?
- SUMPRODUCT calculates the total value for BOSTON by summing up C5:C16 (value column) where B5:B16 is Boston (highlighted portion of the formula) and multiplies that with the counts.
- So in the above example, this will just give us the total of Boston – ie 218,600
- We then divide this with the total count of Boston (using the SUMIFS formula) – ie 400
- This results in the weighted average for Boston values alone – ie 546.50
For more information on how the conditions work inside SUMPRODUCT formula, please read this article.
Download Weighted Average Calculation Example Workbook:
In this workbook, you can find 4 examples on how to to calculate weighted average in excel. Go ahead and download it to understand the formulas better.
Weighted Average in Excel – Formula Explained
Here is a video with Weighted Average formula explained. Please watch it below to learn more. Alternatively, head to my YouTube page to see the weighted averages in Excel video.
In Conclusion
Weighted averages are a great way to explain data and every data analyst should know how and when to use them with their data. Apart from Weighted Average, I suggest learning how to use moving average and average of top n values. These will help you explain the data and trends to your audience better.
Do you use Weighted Mean / Weighted Average?
What do you use it for? What kind of challenges you face? Do you apply any tweaks to weighted average calculations? Please share your ideas / tips using comments.
31 Responses to “Beautiful Budget vs. Actual chart to make your boss love you”
Would be considerably easier just to have a table with the variance shown.
On Step 3, how do you "Add budget and actual values to the chart again"?
There are a few ways to do it.
Easy:
1) Copy just the numbers from both columns (Select, CTRL+C)
2) Select the chart and hit CTRL+V to paste. This adds them to chart.
Traditional:
1) Right click on chart and go to "select data..."
2) From the dialog, click on "Add" button and add one series at a time.
One more way to accomplish it is just select the columns into chart. Press Ctrl+C and then press Ctrl+V
Regards
Neeraj Kumar Agarwal
Unfortunately, this doesn't seem to work for me in Excel 2010. The "Var 1" and "Var 2" columns cannot combine two fonts to display the symbol and the figure side-by-side.
Secondly, there is no option to Click on “Value from cells” option when formatting the label options. The only options provided are Series Name, Category Name or Value.
@TheQ47... the emoji font also has normal English letters, so if you use that font, then you should be ok. I am assuming your computer doesn't have that font or hasn't been upgraded for emoji support.
Reg. Excel 2010, you can manually link each label to a cell value. Just select one label at a time (click on labels, wait a second, click on an individual label) and press = and link it to the label var 1 or var 2.
I am using excel 2010, please explain how to apply Step 12
Regards
Neeraj Kumar Agarwal
Hi Neeraj,
"Value from cells" option is only available in Excel 2013 or above. In older versions, you have to manually adjust the label value by linking each label seperately.
Read this please: https://chandoo.org/wp/change-data-labels-in-charts/
Sir, you are just awesome.
Your creativity has no limit.
Regards
Neeraj Kumar Agarwal
Hi Chandoo,
I just found your website, and really love it. It helps me a lot to be an Excel expert 😉
Currently I am facing with a problem at step 11:
Var1 Var2
D30%
A5%
B0%
B4%
B7%
C10%
C13%
D27%
I42%
Though at mapping table, I used windings, here formula uses calibra. How I can change it? I am able to change only the whole cell. In this case numbers will be Windings too.
Thanks for your help!
Hi Mariann... Welcome to Chandoo.org and thanks for your comment.
If you wanted to use symbols from wingdings and combine them with % numbers, then you need to setup two labels. One with symbol, in wingdings font and another with value in normal font. Just add the same series again to the chart, make it invisible, add labels. You may need to adjust the alignment / position of label so everything is visible.
[…] firs article explains how you can enhance your charts with symbols. You can simply insert any supported symbol into your data and charts. To some extend you can […]
You're a good person, thank you to share your knowledge with us, I will try to do in my work
Great visualization of variance. My question is that is this possible in powerbi?
How would you go about it?
HELLO, WHY CANT I FIND VALUES FOR LABELS IN EXCEL 2013
Dear chanddo sir,
What to do if we have dynamic range for Chart. How this will work. can you able to make the same thing works on dynamic range.
Sir Chandoo,
Good Day!
First, I'd like to say that I am very grateful for your work and for sharing all these things with us.
I tried to do this chart but it seems that the symbols don't work with text (abs(var%),"0%") unless we keep the Windings font style.
The problem is, it converts the text into symbol as well and you wont see the 0% anymore. I'm using Windows 7.
WOW - Segoe UI Emoji
This is the greatest discovery for me this month 🙂 Thanks for sharing.
Here's my two-cents:
https://wmfexcel.com/2019/02/17/a-compelling-chart-in-three-minutes/
Sir This is awesome chart, and very easy to made because of your way to explain is very simple , everyone can do. Thank you
one problem i am facing, I hv made this chart , but when i am inserting data table to chart it is showing two times , how can i resolve this
in this chart when i am adding new month data for example first i made this chart jan to mar but when i add data for the apr month graphs updated automatically but labels are missing for that new month
Hi Renuka,
Please make sure the formulas for labels are also calculated for extra months. Just drag down the series and set label range to appropriate address.
So I am playing with the Actual chart here - but amounts are bigger than your - you have 600 as Budget - my budget is 104,000 - is there a way to shorten that I am unaware of
thank you - I LOVE YOUR SITE
Thanks for the tips and tricks on Excel. In the Planned versus Actual chart examples, you use multiple values (ex. multiple Categories in above). How can this be done when we have only 1 set of values? For example if I have only this:
Planned Actual
SOW Budget 417480 367551
How can I create a single bar chart like the one above?
Thank you Chandoo.
This one is just perfect for my Quarterly Review presentation on Operational Budget against Actual Performance for the Hospital I'm currently working with.
Just Subscribed today (10 minutes ago)
Is there a way to make the table of data into a pivot table to be able to add a slicer for the graph due to many different categories and months?
Hi, I tried to modify you template with something appropriate for me, and I found a problem. this template was modified by me started with excel 2010, then 2016 and finally 2019. Same thing - somehow appear an error - or didn't show the emoticons for positive percentage or doubled the emoticons for some rows. I suspect to be from excel. if is need it I can sand you my xlsx for study. Please help if you can.
Hi Chandoo,
Could you please check the Var Formula in Step1. You have mentioned budget-actual and when i did this i got different values but when reversed like actual-budget i got the actual value what you have demonstrated in step1.
Please share your view.
This is a great chart (budget vs. actual). However, in trying recreate it, I cannot color in the UP Down bars individually, and they all become formatted with the same color. I'm using Office 365. Look forward to the feedback.
Thanks.
Dan
pls explain in detail step 7
While in the Excel sheet you have used following formula for Var
Var = Actual - Budget
But
in the note, you have written
Var = Budget - Actual
Good Presentation and Data information.thank you so much chandoo.