If I need some charting inspiration, I always visit New York Times. Their interactive visualizations are some of the best you can find anywhere. Clear, beautifully crafted and powerful. Long time readers of Chandoo.org knew that I like to learn from visualizations in NY Times & redo them using Excel.
Today let me present you one such chart.
How the tax burden has changed over the years – Visual story by NY Times
First take a look at this story on New York times website. Go ahead and check it out, I will wait for you.
Back already. Good.
Now that you have seen a well presented story with the support of panel charts, let us learn how to re-create such charts using Excel.
Look at the tax burden Excel chart
Take a look at the excel implementation of this chart below. Read on to learn how to create this.
[click here to see larger version]
Recipe for creating this chart using Excel
We need below ingredients to make this chart using Excel
- Raw data
- One area chart and few lines on top
- Simple formulas
- One Slicer (to select an year)
- One large cup of coffee or whatever else that you gulp
So if you are ready, lets start cooking.
Step 0: Arrange data
This is a prerequisite for any charting exercise. Although we can work with data in any shape, for quick results, arrange your data in this format:
In the example file you will find data for overall tax burden for all 9 tax brackets in the years 1980-2010.
Step 1: Create an area chart from all the data
Simple, select tax bracket & tax percentage rows and create an area chart. This is how it should look.
Step 2: Insert 2 columns after every tax bracket in your source data
Very simple, just add 2 blank columns after every tax bracket to your source data. This will change your chart to,
Step 3: Adjust data settings so that blank cells are treated as gaps
Right click on the chart, go to Select Data > Hidden & Empty cells
Specify that all blank cells should be treated as gaps. See below.
Now, your chart should look like this:
Step 4: Add a line to the chart & format it
Although our chart looks almost like NY Times chart, we still need to show a line on top. For this,
- Go to your data, reselect all the tax burden %s and copy them.
- Come back to the chart, select it and paste. (more on this)
- Excel will add this new data as another series to chart
- Right on this new series, choose Change series chart type
- Select Line chart
- Format the chart so that it looks like below.
Step 5: Remove grid lines & fake them using additional series
Excel chart’s grid lines always show up behind the data. For our chart, we want them on top. So let just delete grid lines and fake them using additional lines on the chart.
For this,
- In your data, add 9 extra rows at bottom (why 9? because we want to show one grid line for every 5% and the maximum we have is around 45%)
- Fill first row with 0.05, second with 0.1, third with 0.15… ninth with 0.45
- Copy all these and paste them in the chart. You should have nine lines across the chart.
- Now, format each line so that it looks like a dull white line with dashes.
- When you are done, the final output should look like this:
Step 6: Remove horizontal axis (x-axis) labels & fake them too
Again, horizontal axis labels produced by Excel are useless for us. So we will create our own.
- First delete the existing axis.
- Then add a text box to the chart and place it where axis should be.
- Type the values 1980 few spaces 2010.
- Adjust the font size to 7pt.
- Now play with the text box until you are satisfied for one tax bracket.
- Then copy paste it 8 more times and adjust their positions.
Although we could automate this step, it felt un-necessary as the years are not going to change.
Our chart is almost ready
At this stage, our chart looks like below.
It is almost ready, but we need few more additions.
- We need to add labels to first & last point in each tax bracket.
- We need a mechanism so that user can select a particular year.
- When any year is selected, we need to show that year’s tax burden %.
Adding labels for first and last points
This is done by adding one more series of values. This new series (lets call it label-first-last) will have values for only 1980 & 2010. Everything else will be NA().
The formula I used to generate this series is,
=IF(OR(year=1980,year=2010),taxburden,NA())
Once this series is added, we just format it so that only markers are shown (no line) and then add data labels. Format the labels to show in 0% format. Adjust their size and position.
Also add arrow shaped boxes on top to label each tax bracket.
Enabling year selection thru Slicers
[This works only for Excel 2010 or above]
In a blank sheet type the years 1980 thru 2010. Select them and create a pivot.
Once the pivot is ready, insert a slicer for the years field.
For detailed steps on slicer creation see this illustration.
Figuring out which year is selected
Once the slicer is ready, we need to figure out if user made a selection thru slicer. To do this,
- Use a simple formula to check how many values are shown in the pivot table (ex: COUNTA(pivot!A:A) )
- If only one value is shown, then extract it by referring to first row item in pivot (=pivot!A4)
Adding labels for selected year
Once we know which year is selected, we can easily create one more series that has NA() for all values except selected year. The rest you know.
Final outcome – Tax burden over the years chart using Excel
Download this example & Play with it
Click here to download the tax burden chart. Play with it to learn more. Examine the formulas in “Data” sheet & scroll down on “Chart” sheet for step by step instructions.
Do you like this chart?
I really loved how NY Times has been able to tell a very good story by using multiple panel charts. These are great way to examine multidimensional data and understand what is going on.
What about you? Do you like this chart? Please share your thoughts and ideas using comments.
More such charting inspiration
If you are looking for some fresh charting inspiration & ideas, you are at the right place. Check out these examples to get started:
- Introduction to Panel Charts & How to make them in Excel
- Usain Bolt vs. Rest of runners – Interactive visualization in Excel
- Impact of Grammy award on sales – Grammy bump interactive chart
- Visualizing world education rankings – excel chart
- Facebook Privacy policies as a panel chart
- More charts & visualizations
Do you want to create powerful & insightful charts like these?
If you want to learn how to create these types of charts, consider enrolling in our Excel School program. Be warned, you will become unusually awesome in Excel by going thru our course 🙂
19 Responses to “How to Distribute Players Between Teams – Evenly”
An excellent solution, especially for large data sets.
Another solution without using solver would be to assign the player with the highest score to Team 1, the 2nd to team 2, 3rd to team 3, 4th to team 3, 5th to team 2, 6th to team 1, 7th to team 1 and it continues. This method would end up with a Std Dev of 0.001247219. This works best with a distribution with lower Std Dev for the dataset.
Full Disclosure: this is not my idea, remember reading something a few years ago. Think it may have been Ozgrid
thinking back I now remember why I read about it. About 10 years back I had to distribute around 300 team members into 25-30 odd teams. Used this method based on their performance scores. I used the method I described to do this and the distribution was pretty fair.
Solver would have saved me a ton of time though 🙂
I think the issue with you first Solver approach was that you took the absolute value of the sum of team deviations (which should always be zero except for rounding) instead of the sum of the absolute values (which is a reasonable measure of how unbalanced the teams are).
Here's another simple algorithm you could use: you start from the top (with players sorted from high to low), and at each step allocate the next player to whichever team has the smallest total so far. You can implement it dynamically with some formulas so it will update automatically when the data changes.
If the scores were more widely distributed (so that this might end up with not all teams the same size), you could add a constraint to only pick among the teams which currently have fewest players at each step, or just stop adding to any team when it hits its quota.
When I tried it on the sample, I got the three teams below, with a STDEV of 0.000942809 (i.e. about half of what Solver got to).
Team 1: John, Hugo, Tom, Josh, Eric, Zane, Charles, Andrew
Team 2: Barry, Michael, Kenny, Joe, Xavier, Patrick, Oliver, William
Team 3: Henry, Steven, Ben, Frank, Kyle, Edward, Cameron, Lachlan
Thanks for sharing!
Hi,
I was looking at all the solutions and this is closest to what I intended to do. I am dividing a bunch of players into 3 soccer teams. Players availability is also a factor while deciding the teams.
So the steps the excel needs to do is as follows:
1) In availability column if "yes" go to next
2) Equally divide 'Goalkeepers', 'Strikers', 'Defenders' basis their quality
So the end result gives each 3 teams a balance of players playing at different positions.
Can this be done on Google spreadsheet with only availability as an input from the user and rest calculates by itself.
Sorry for asking such a pointed question, but I have been struggling to find a solution for it for sometime now!
Hi Ishaan,
I am working on a similar problem at the moment, so I am wondering if you ever found a solution and if you are willing to share what you did.
Hi everyone, this is a variation of the famous Knapsack Problem https://en.wikipedia.org/wiki/Knapsack_problem.
I had to use a VBA implementation recently as part of a problem, where we ar trying to allocate teams of an organization into different locations (we are a large company with many different team). The goal was to optimally allocate teams to individual buildings without putting too many teams into one building and not splitting teams apart.
As we had around 400 teams of different sizes, solver couldn't handle it anymore. Luckily there is a Knapsack algorithm implementation in VBA readily available on the internet :).
I also went with a heuristic approach first!
An interesting mathematical solution but what if Eric and Xavier can't stand each other or Patrick is best friends with Steven - the real life problems that effect "even" teams.
@Joe
You can add more criteria like
If Eric and Xavier can't stand each other
=OR(AND(E15=1,E16=1),AND(F15=1,F16=1),AND(G15=1,G16=1))
It must be False
If Patrick is best friends with Steven
=OR(AND(E5=1,E17=1),AND(F5=1,F17=1),AND(G5=1,G17=1))
It must be True
Note that the 2 formulas above are exactly the same
except for the ranges
One must be True = Friends
One must be False = Not Friends
Nice Post!
Just one question What if number of players are not even or equally divisible.
Nice post Hui!
I download your workbook and just try to change in options the Precision Restriction from 10E-6 to 10-8 and the Convergence from 10E-4 to 10E-10. The process take almost the same time, but the results was great.
The standard deviation I got was 0,000471.
Team 1: John, Tom, Kenny, Frank, Eric, Xavier, Edward, Zane
Team 2: Steven, Hugo, Ben, Joe, Josh, Oliver, Cameron, William
Team 3: Barry, Henry, Michael, Kyle, Patrick, Charles, Andrew, Lachlan
Great application of Solver! Thanks for the link!
Great explanation. Well done... However, I tried with 6 teams of 4 players and solver never did finish.
How about vba code for the same data set.
I have 3 column A B C wherein A has text and B has number Wherein C is blank. And in C1 been the header C2 where I want the name to come evenly distributed the number which is in Column B.
My Lastcolumn is 1000.
Sorry if I'm being slow here, but how is 'Team Score' calculated? I've gone through the explanation several times but it seems to just appear.
@Hrmft
This process uses the Solver Excel addin
Solver is effectively taking the model and trying different solutions until it gets a solution that meets all the criteria
Then solver puts the solution into the cell and moves to the next cell
So yes it appears to "just appear"
Hi ! Thank you so much ! Works great 🙂
I cannot get the fourth Equation to work in my excel spreadsheet
You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Thank you.
Jim
I cannot get the fourth Equation of TURE or FALSE statements to work in my excel spreadsheet You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Sorry I left some of it out in the previous question,
Thank you. Jim