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.
25 Responses to “Shift Calendar Template – FREE Download”
Hi Chandoo,
your recent postings include only Excel 2007 templates. Unfortunately the company I work at still runs Excel 2003. Is it possible to get your awesome files in other excel version as well?
Thanks so much for your great excel stuff!
Is it possible to do this for shifts with hours instead of days? To organise a three shift day?
Thanks in advance,
Stelios
In my organization there are 45 employees i need split then into three shifts ex:A shift:14,B shift:14,C shift:14 and week off:3 kindly help me on this.
@Masthan
You need to understand what rules your company has for the various shifts / roster combinations
Chandoo, I once did a shift control spreadsheet for my team. I put one person in each line, the columns were the days. I put a shift code in each cell indicating in which shift that person should work, or if the person were out that day. I have two codes for being out. One is for vacations and one is to compensate days worked in weekends. This way I was able to count how many persons I have in each shift, how many were on vacations and how many were out compensating (that's the term we use here) weekend worked hours.
Later I included the possibility of a person be in two lines one for normal hours other for overtime. This is mainly used for planning purposes. If you would like I can send you an example. The only problem of this spreadsheet is that we don't have a person view, only this consolidated view.
Hi George, I would like to have a copy of your spreadsheet if you can share it.
Thanks in advance, Chuck
Hi Chandoo,
Where is the code located ? is it VBA ? If so , how do you hide it ? Or it is .NET ?
Thx
@Idan
.
No VBA or code, it is all done with Mirrors.
Only Joking,
.
But there is no VBA or code,
It is all done with Named Formulas and Lookups.
Have alook at the cells in the calander area and Named Formulas in the Formulas, Name Manager Tab.
How can i calculate between two or more different workbooks? Please, reply me as early as possible.
@Anand
Open the workbooks you want to link to
Start a formula = and click and change between workbooks as required.
You can use the View, Switch window menu to change workbooks mid formula
The format for using workbooks is
=[Workbook.xlsm]Sheet1!$A$1
or
=SUM('[Book2.xls]Sheet1'!$A$1:$D$10)
etc
Hi Chandoo,
I am working with a call centre wherein i ned to update at the month end 20 to 30 employees login hours which are defict to track it at the month end is very difficult is there any template which can be made to track that why on a particular day a guy who needs to be on calls was why not on calls.
Thank you so much Chandoo. This is really helping me. As usual, you rock.
What's FortyTwoDays and Calendar in Name manager?
Both are unused and FortyTwoDays doesn't make any sense.
I have a SQL db that contains records of events scheduled/completed on a particular date. Can this method ous building a calendar be used to display those events on the respective day?
Positively awesome!
I'm attempting to help a friend create a schedule for adult classes - and of course its not"paid help". Here is the scenario:
20 classes, instructor, room#, student class size, start date, number of class days (need to subtract weekends)
class
instructor
room
students
start
#days
PATH
karen
201
21
01/01/13
11
BILLING
jane
401
15
01/12/13
13
MEDISOFT
mike
301
11
01/25/13
9
he'd like to see these classes show up in different colors within the same month's calendar chart. He can draw it, but I'd like to see it done automatically through data, and I just can't visualize it, but I KNOW this will work - can you help?
Jan 🙂
Dear chandoo,
Try many way to download still can't access. Any way we want to try out 3 shifts with 3 guys in a group .eg Group A Morn, Group B Night and Group C Rest. And every each group must work on sunday to take turns. In fact we are security teams so that's why sunday is required to work. Pls guide and show how to put in the working calendar. Thank you in advance.
I've been trying to copy and/or recreate this to use in a workbook I'm doing for the transportation department I'm working for. I need to have the calendar on the first sheet in my document (it has graph's from data on another sheet). I'm trying to use it to track (with the conditional formatting) accidents and injuries. I've redone the conditional formatting to do 4 different accident types (no injury, near miss, OSHA recordable injury and work loss injury), but when I enter the formula's you have in the calendar portion where it says "DateOfFirst-FirstWeekDay" I can't figure out how you did that. Are you able to help?
I would like to use Excel to solve the following problem for a community work. I want to create a Driver schedule for a given month from a pool of volunteers for a community service. Each of these volunteers can drive only on specific days in a week. I would like to populate the driving schedule for each weekday with primary, secondary and tertiary drivers in a random fashion so that I do not overburden one person. I would greatly any help you can provide.
Hi chandoo,
Thanks for your valuable effort for create this template and let me know how to add multiple employees in the the Roaster.
Hi Chandoo,
This article on shift roaster is very helpful. Could you please let me know how i can use the same for n number of resources who work 24/7, considering their leaves and holidays?
Thanks,
Savitha
Hi Chandoo,
This article on shift roaster is very helpful to all. Could you please let me know how i can use the same if I want to add for some more shifts, since the color is not getting change if I add more shifts like 4,5 etc.,
Thanks,
Murali
nice post
How can I change the date to 2017 under Shift Data worksheet.
solution 1:
mydata=B2:C16
stoplist=E2:E8
=LET(RNG,A2:A16,SMR,C2:C16, F,(RNG=E2)+(RNG=E3)+(RNG=E4)+(RNG=E5)+(RNG=E6)+(RNG=E7)+(RNG=E8),SUM(SMR)-SUM(SMR*F))
=LET(RNG,A2:A16,SMR,C2:C16,RH,N(B2:B16=B2), F,(RNG=E2)+(RNG=E3)+(RNG=E4)+(RNG=E5)+(RNG=E6)+(RNG=E7)+(RNG=E8),TOT,SUM(SMR)-SUM(SMR*RH*F),SUM(SMR*RH)-SUM(SMR* RH*F))
ALTERNATE SOLUTION
=SUM(C2:C16)-SUM(FILTER(C2:C16,ISNUMBER(BYROW(A2:A16,LAMBDA(a,TOROW(SEARCH(a,E2:E8),2))))))
=SUM((B2:B16=B2)*(C2:C16))-SUM((ISNUMBER(BYROW(A2:A16,LAMBDA(a,TOROW(SEARCH(a,E2:E8),2))))*(B2:B16=B2)*(C2:C16)))
let
Source = Excel.CurrentWorkbook(){[Name="Table1"]}[Content],
#"Replaced Value" = Table.ReplaceValue(Source,null,";",Replacer.ReplaceValue,{"Column1"}),
#"Transposed Table" = Table.Transpose(#"Replaced Value"),
#"Removed Other Columns" = Table.SelectColumns(#"Transposed Table",{"Column1", "Column2", "Column3", "Column4", "Column5", "Column6", "Column7", "Column8", "Column9", "Column10", "Column11", "Column12", "Column13", "Column14", "Column15", "Column16", "Column17", "Column18", "Column19", "Column20", "Column21", "Column22", "Column23", "Column24", "Column25", "Column26", "Column27", "Column28", "Column29", "Column30", "Column31", "Column32", "Column33", "Column34", "Column35", "Column36", "Column37", "Column38", "Column39", "Column40", "Column41", "Column42", "Column43", "Column44", "Column45", "Column46", "Column47", "Column48", "Column49", "Column50", "Column51", "Column52", "Column53", "Column54", "Column55", "Column56", "Column57", "Column58", "Column59", "Column60", "Column61", "Column62", "Column63", "Column64", "Column65", "Column66", "Column67", "Column68", "Column69", "Column70", "Column71", "Column72", "Column73", "Column74", "Column75", "Column76", "Column77", "Column78", "Column79", "Column80", "Column81", "Column82", "Column83", "Column84", "Column85", "Column86", "Column87"}),
#"Merged Columns" = Table.CombineColumns(#"Removed Other Columns",{"Column1", "Column2", "Column3", "Column4", "Column5", "Column6", "Column7", "Column8", "Column9", "Column10", "Column11", "Column12", "Column13", "Column14", "Column15", "Column16", "Column17", "Column18", "Column19", "Column20", "Column21", "Column22", "Column23", "Column24", "Column25", "Column26", "Column27", "Column28", "Column29", "Column30", "Column31", "Column32", "Column33", "Column34", "Column35", "Column36", "Column37", "Column38", "Column39", "Column40", "Column41", "Column42", "Column43", "Column44", "Column45", "Column46", "Column47", "Column48", "Column49", "Column50", "Column51", "Column52", "Column53", "Column54", "Column55", "Column56", "Column57", "Column58", "Column59", "Column60", "Column61", "Column62", "Column63", "Column64", "Column65", "Column66", "Column67", "Column68", "Column69", "Column70", "Column71", "Column72", "Column73", "Column74", "Column75", "Column76", "Column77", "Column78", "Column79", "Column80", "Column81", "Column82", "Column83", "Column84", "Column85", "Column86", "Column87"},Combiner.CombineTextByDelimiter("|", QuoteStyle.None),"Merged"),
#"Split Column by Delimiter" = Table.ExpandListColumn(Table.TransformColumns(#"Merged Columns", {{"Merged", Splitter.SplitTextByDelimiter(";", QuoteStyle.Csv), let itemType = (type nullable text) meta [Serialized.Text = true] in type {itemType}}}), "Merged"),
#"Added Prefix" = Table.TransformColumns(#"Split Column by Delimiter", {{"Merged", each "|" & _, type text}}),
#"Replaced Value1" = Table.ReplaceValue(#"Added Prefix","||","|",Replacer.ReplaceText,{"Merged"}),
#"Split Column by Delimiter1" = Table.SplitColumn(#"Replaced Value1", "Merged", Splitter.SplitTextByDelimiter("|", QuoteStyle.Csv), {"Merged.1", "Merged.2", "Merged.3", "Merged.4", "Merged.5", "Merged.6", "Merged.7", "Merged.8"}),
#"Removed Columns" = Table.RemoveColumns(#"Split Column by Delimiter1",{"Merged.1"}),
#"Removed Duplicates" = Table.Distinct(#"Removed Columns")
in
#"Removed Duplicates"