When I saw the Olympic medals won by each country by year infographic on nytimes my jaw almost dropped, go ahead see it and come back, I am sure you will love it too.
It is one of the coolest visualizations I have seen in the recent past and I see infographics all the time, its my passion.
So, I wanted to see if this infographic can be done in Excel, not pixel to pixel, but something close enough to pamper my ego. I was able to create something that looked like this:
Download the Total Olympic medals won by each country since 1896 excel sheet and play with it.
If you want to know how this is done, read on 🙂
1. My first challenge is to get the Olympic medal data per country
Thankfully, Olympics site has the medal counts by country data for each of the 25 editions of the summer games, [click here for 1896] I have copy-pasted the data to my sheet.
2. Next challenge is to find average latitude, longitude for all countries in the world
Thankfully CIA World fact book has the exact data for each country in a table, another ctrl+c, ctrl+v and I have the data in my sheet. [slightly refined data can be found on maxmind as well]
3. Now, the data is not clean
Unfortunately the data copied from Olympics site and CIA fact book doesn’t match as country names were different (USA, United States, United States of America for eg.), country names kept changing (do you know that Australia was called as Australasia sometime back.. :D). So I had to do quite some clean up (mainly using vlookup, filtering unique items etc.)
Finally, I had the data in a tabular format, country names, latitude, longitude, total medals won in rows, Olympic years in columns (1896 to 2004, except 1916, 1940 and 1944 when the games were canceled)
I had to convert latitude and longitude to y and x co-ordinates respectively so that I can plot them on 2 dimensions. I used this logic to do it:
x=(180+longitude)*(map-width/360)
y=(90-latitude)*(map-height/180)
4. Add a scroll bar form control and use it to select the year from 25 Olympic years
This was the easy step. I selected Menu > View > Toolbars > Forms to show the forms toolbar and then inserted a scroll bar control to my sheet. Then I associated it with a cell my sheet and limited the values to change between 1 and 25 (each increment for one of the 25 Olympic years)
Now, I have associated this scroll bar cell to fetch one Olympic years worth of data.
5. Create a bubble chart with the medal data
Now that I have the data in the format of x, y co-ordinates, medal count for each country for the selected year, I have created a bubble chart with this information, showing bubbles at each pair of (x,y) in the list.
6. Finally, show an outline map of the world in the background
The last step was easy, I searched for an outline map of the world and used it as my chart background, even though this is not part of the original NY Times infographic, it helps me in ensuring that the bubbles are indeed shown in the right places.
Of course there are some differences between my infographic of Olympic medal count and that of NY Times’, mainly,
- The bubbles overlap, but there is nothing I can do about it without writing additional logic. But as Nathan points out, non-overlapping bubbles may be slightly inaccurate.
- The other is, color of bubbles doesn’t change based on the continent it belongs to. Well, this can be done by editing the bubble colors manually, so I gave up.
- Finally, very few countries are omitted in this, mainly due to geopolitical changes, like Germanies getting united, Koreas getting separated, more countries becoming China :D, I did clean up 99% of the data, but there is always a troublesome country you never heard of.
Make sure you download and play with total Olympic medals won by each country since 1896 excel sheet
What do you think of this?
Also see: The art of excel charting – making ubercool dashboards
Junk the default charts, use this art grade templates instead
Did you fire a bullet graph today?
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