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.
20 Responses to “Untrimmable Spaces – Excel Formula”
Hi Chandoo,
First of all, HAPPY NEW YEAR!!! Wish you and your family another fruitful year ahead.
To answer your question: Power Query is the best way to trim. 🙂
Btw, if Power Query is not available, then formula would absolutely do... but did you forget to mention also Char 32?
One more question: Is the trailing minus meant to be a negative number? Maybe only the sender knows... 🙂
Cheers,
I just see your PQ way, it is amazing, I think it is the most simple way.
No idea how it did it?
I know these spaces can be a real pain but these days I advise Excel users to learn and use Flash Fill and that will learn what to do pretty quickly.
Highlight range to be cleaned. Then, in Replace, hold down the Alt key and type 0160. Replace with nothing.
I accomplished this by writing a macro to go through all the possible unprintable characters. Looped through the range.
@Steve
Brute force works just as well, its just slower
I use a different method here. First, I will copy the data from Excel and paste it in a notepad. In Notepad, I will do a Find Blanks (Space " ") and Replace (Empty) with nothing.
Then you can copy the data from Notepad and paste it back to Excel which will be a perfect number as you desire.
But Thanks for the formula. Its probably the 2nd out of 8 tricks as Chandoo mentioned. Waiting for the rest among 8 from other users 🙂
Hi....
You don't always need notepad for that. I use the Find/Replace is Excel works just fine.
I don't understand the x's. Why weren't they removed in the formula? Or are they part of some sort of numeric formatting that I'm not familiar with? I saw how you handled the non-breaking spaces and the dashes, but am confused about what role the x's played in all this.
Thanks!
Hi Andrew ,
The xs have been used solely to demarcate the actual data text ; thus , without the x in place at the end of text , as in :
x 4,124,500.00 x
it would be impossible to know that there are unwanted trailing characters , in this case , after the last 0.
These xs are not part of the original data text , nor are they used in the formulae ; they are put in only so that readers can visualize the individual items of data as they are in practice. Think of them as imaginary delimiters.
Oh, that makes sense! Thank you for the explanation. I had a feeling it was something along those lines.
You can type this character using the Keys Alt+0160.
Very useful to replace this Character using Find and Select resource.
For many years, my jobs have included ETL tasks and I built this macro to help long, long ago. I tweak it every now and again. Many co-workers, past and present, have it wired to a button on their toolbar.
Sub Clean_and_Trim()
'CAUTION: Strips leading zeroes -- do not use on zipcodes, etc.
If Application.Calculation = xlCalculationAutomatic Then
Application.Calculation = xlCalculationManual
Revert = 1
ElseIf Application.Calculation = xlCalculationManual Then
Revert = 0
End If
For Each Cell In Selection
For x = Len(Cell.Value) To 1 Step -1
If Asc(Mid(Cell.Value, x, 1)) = 160 Then
Cell.Replace What:=Chr(160), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
End If
If Asc(Mid(Cell.Value, x, 1)) = 32 Then
Cell.Replace What:=Chr(32), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
End If
Next x
If Cell.Value "" Then
Cell.Value = Application.Clean(Application.Trim(Cell.Value))
End If
Next
If Revert = 1 Then
Application.Calculation = xlCalculationAutomatic
ElseIf Revert = 0 Then
Application.Calculation = xlCalculationManual
End If
End Sub
This is awesome! What if you have several characters you need to have removed? What would be the easiest way as I can imagine there are several ways.?
# - 35
$ - 36
- 62
/ - 47
, - 44
. - 46
" - 34
: - 58
This is typical case of a Fitbit data export to Csv file. Each number has CHAR160 as thousand separator.. how smart Fitbit, thank you 😉
By the way, i prefer to copy the character, and use find and replace.
Sometimes it happens if you copy a table from outlook and paste it in excel. When you apply formula on those cells you will get error. What i use to do is
copy one character that looks like space,
select the entire range,
go to Find and replace,
Paste the copied character in Find option
Leave the replace option unfilled..
click on replace all..
All the errors shall be converted in to proper values..
Process looks lengthier.. but it is one of the simplest method
If Clean, Trim, and Substitute, or Find and Replace does not complete the job, I usually enter a value of 1 in an empty cell. Copy the Value of 1, Highlight the range of text numbers, and Paste Special, Values, Multiply. This site is great!
You can use Dose for Excel Add-In that can quickly clean huge data with one click besides more than +100 new functions and features to add to your Excel to save time and effort.
https://www.zbrainsoft.com
Hi,
I have a problem in excel. The sheet attached herewith.
TABLE CONFIG 2/6
A B C D E F G H
1 WEIGHT1 43,599 WEIGH2 62500 WEIGHT3 77000 WEIGHT4 66,500
2 DEDUCTION1 15,000 DEDUCTION1 15,000 TEMP 0 DEDUCTION2 11,005
3 RESULT 58,599 RESULT-1 77,500 RESULT-2 77,000 RESULT-3 77,505
4 RESULT SUBSTRACT 0 0 0
5 REQUIRED VALUE 77,500 77,000 77,505
Note: 1- RESULT (58599) IS TO BE DEDUCTION EITHER FROM D4 OR F4 OR H4 WHICHEVER IS MOST
LEAST CELL AMONG RESULT-1 OR RESULT-2 OR RESULT 3.
2-HENCE, RESULT VALUE $B$3 IS TO BE PRESENTED ON CELL EITHER D4 OR F4 OR H4 WHICHER IS
MOST LEAST VALUE
3-FORMULA =IF(E8<H8,$B$9,IF(E8<J8,$B$9,IF(H8<J8,$B$9,IF(H8<E8,$B$9,IF(J8<H8,$B$9))))))
CREATED ON CELL D4,F4 & H4 DID NOT WORK.
PLS FOR YOUR HELP.
THANK YOU
@R
Why not ask the question in the Chandoo.org Forums
https://chandoo.org/forum/
You can attach a file there