This is a Guest Post by Robert on Visualization Techniques for Excel KPI Dashboards.
This 6 Part Tutorial on Management Dashboards Teaches YOU:
Creating a Scrollable List View in Dashboard
Add Ability to Sort on Any KPI to the Dashboard
Highlight KPIs Based on Percentile
Add Microcharts to KPI Dashboards
Compare 2 KPIs in the Dashboards Using Form Controls
Show the Distribution of a KPI using Box Plots
In this final post we will learn how to add a box plot to show the distribution of values
The solution
The most common way in descriptive statistics to visualize the distribution of sets of numerical data is a box plot. But according to my experience in day to day business, most business people are not familiar with this type of visualization.
Therefore we try to create a simpler chart which is hopefully easier to understand:
The light grey bar visualizes the range of all values, the dark grey bar the range of the 10 items displayed on the management dashboard table. The cross shows the total average and – similar to the bullet graphs – the vertical line represents the target. This is less information than a real box whisker plot would provide, but I guess it will be easier to understand.
The implementation
Download the Excel KPI dashboard final workbook and read on how to create a simplified box plot.
- Let’s bring our ducks in a row first. Calculate all necessary data to be shown in the box plots: the minimum and maximum of the total data and of the 10 displayed items on the dashboard, the average and the target. The formulas are quite simple. You can find them in the downloaded workbook in
calculation!AZ23:BE27. - The basis of our visualization is a stacked bar chart with only one category and 4 data series:
- the invisible bar (the bar between 0 and the total minimum),
- the left light grey bar (the bar between the total minimum and the minimum of the displayed 10 items),
- the dark grey bar (the bar between the minimum and maximum of the 10 displayed values) and
- the right light grey bar (the bar between the maximum of the 10 displayed items and the total maximum).
Again the formulas to calculate these values are quite simple (see calculation!BF23:BI27).
- Create a stacked bar chart and format the bars accordingly (no fill color and no border for the invisible bar, light and dark grey fill colors for the other bars).
- Add the average and the target values as additional series to the chart and change the chart type of these new series to XY scatter charts (X is the average / target value, Y is a dummy 1). Format the average as a cross (or whatever you choose) and use the error bars to format the target as a vertical line. The method of creating a combination chart of bars and XY scatters is pretty much the same we used in the 4th post of the KPI dashboard series (here).
- Remove or hide all unnecessary chart elements: no fill color and no border for plot or chart area; no line, tick marks etc. for the vertical axes, etc.
- Repeat steps 3 to 5 to create charts for all 5 KPI.
- Bring the charts to the dashboard, position them and add a caption to explain the chart elements.
That’s it. Play around with the new feature: change the sort criteria or sort order or scroll up and down the dashboard table and see how the new charts are changing.
Final Remark
This is a simplified version of box plot visualization and works only for data sets with positive values. Of course there is also a more sophisticated way of creating charts like this for any data (positive and negative values, i.e. bars crossing the vertical axis). This is a bit more complicated since you need 8 data series for the bar chart instead of 4 but the principle is exactly the same.
Our final KPI dashboard looks like this (click on it for a larger version):
What’s next?
With this last part I guess the time may have come to end the series about Excel Management KPI Dashboards here and to hand over the further development of this dashboard to the readers of Chandoo.org.
I do hope the series of 6 posts have been useful for your daily work and provided new ideas. Make sure you have downloaded the Excel KPI dashboard tutorial workbook
Thanks for all your comments and appreciations.
Last but not least: Chandoo, my friend, once more thank you so much for hosting my ideas at Chandoo.org.
Kind regards from Munich
Robert
Chandoo’s note
If not for Robert’s mail in August suggesting these wonderful ideas as posts in PHD, I would never have learned these things or shared them with you all. I am thankful to him for that.
Well, I am constantly trying to learn new dashboard techniques and I will try to share the worthy ones with you all. Meanwhile if you have a good idea for excel dashboards (or charts, techniques etc.) and would like to share with everyone, feel free to drop a comment or write to me. I will be *happy* to feature your ideas.
Further Reading on Dashboards using Excel
Checkout our exclusive section: Excel Dashboards for more tutorials, tips, design principles.
You can also consider joining my Excel School program to learn how to make world-class dashboards.
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