Often we deal with data where numbers are buried inside text and we need to extract them. Today morning I had such task. As you know, we recently ran a survey asking how much salary you make. We had 1800 responses to it so far. I took the data to Excel to analyze it. And surprise! the numbers are a mess. Here is a sample of the data.
Now, how do I extract the salary amounts from this without typing the values?
My first thought is to write a user defined function to extract the number from text. But I usually shy away from VBA. So I wanted to see if there is a formula based approach to extract the number from text.
Using formulas to extract number from text
To extract number from a text, we need to know 2 things:
- Starting position of the number in text
- Length of the number
For example, in text US $ 31330.00 the number starts at 6th letter and has a length of 8.
So, if we can write formulas to get 1 & 2, then we can combine them in MID formula to extract the number from text!
Finding the starting position of number in text
To find the starting position, we need to find the first character which is a number (0 to 9). In other words, if we can find the positions of 0 to 9 inside the given text, then the minimum of all such positions would be starting position.
Sounds complicated?!? Well, in that case look at the formula and then you will understand why this works.
Assuming the text is in A1 and the range lstNumbers contains 0 to 9, below formula finds starting position
{=MIN(IFERROR(FIND(lstNumbers,A1),””))}
You need to array enter it (CTRL+SHIFT+Enter)
How this formula works?
FIND(lstNumbers, A1) portion: This part finds where each of the numbers 0 to 9 occur in the text in A1. If a match is found, the position is returned. Else we get an error. For US $ 31330.00 the values would be,
{10;7;#VALUE!;6;#VALUE!;#VALUE!;#VALUE!;#VALUE!;#VALUE!;#VALUE!}
Meaning, 0 occurs at 10th position, 1 occurs at 7th position, 3 occurs at 6th position and everything else (2,4,5,6,7,8,9) do not occur in the number.
IFERROR(…,””) portion: Then, we replace errors with empty spaces so that MIN could work its magic.
At this stage, the result would be, {10;7;””;6;””;””;””;””;””;””}
Related: IFERROR Formula – syntax & examples
{=MIN(…)} portion: This would find the minimum of {10;7;””;6;””;””;””;””;””;””} which is 6. The starting position of number inside text.
Because we are finding multiple items, we need to array enter the formula to get correct result.
Finding the length of number
Once we find starting point, next we need to know the length of the number. There are many ways to do this. Depending on the variety in your input data, you can choose a technique that works best.
Approach 1 – counting number of digits in text
My first approach is to count number of digits in the text and use it as length. For this, we can break the text in to individual characters and then see if each of them is a number or not.
Assuming the text is in A1, the number of digits in it are,
=SUMPRODUCT(- -ISNUMBER(MID(A1,ROW($A$1:$A$200),1)+0))
MID(A1,ROW($A$1:$A$200),1) + 0 portion: This breaks the text in A1 in to individual characters (assumes the max length is 200) and then adds 0 to them.
At this stage, you have 200 values some of them numbers, others errors.
ISNUMBER(…) portion: This checks all the 200 values for numbers. After this, we will have 200 true or false values.
— ISNUMBER (…) portion: This converts the true, false values to 0s and 1s. (by double negating Excel will convert boolean values to number equivalents).
SUMPRODUCT(…) portion: This finally sums up all 1s thus giving us the number of digits in the text.
Does it work?
While this approach works well for some numbers, it fails in other cases. For example, a text like US $ 31330.00 has number portion with 8 characters (31330.00) where as our formula would say the length is 7 (because decimal point . is not a number and hence ISNUMBER() would give false for that).
So I had to move on to next approach.
Approach 2 – counting number of digits, commas & decimal points in text
The next approach is to count not only numbers, but also commas & decimal points in the text. For this, first I placed all the digits (0 to 9) and comma & decimal point in a range called as lstDigits.
Below formula counts how many of lstDigits are in text in A1.
=SUMPRODUCT(COUNTIF(lstDigits,MID(A1,ROW($A$1:$A$200),1)))
COUNTIF(lstDigits, MID(…)) portion: This checks how many times each of the 200 characters appear in lstDigits.
This would be an array of counts. For example {0;0;0;0;0;1;1;1;1;1;1;1;1;…} for US $ 31330.00, indicating that first 5 are not in lstDigits and then we have 8 in lstDigits.
SUMPRODUCT(…) portion: just sums all the numbers, hence we get length as 8.
Related: SUMPRODUCT Formula – examples & explanation
Extracting numbers from text
Once we have starting position of number & its length, we can combine them in a MID formula to extract the number. Here is the result for our sample data set.
As you can see, this method works well, but fails in some cases like,
- European number formats (, for decimal point and . for thousands)
- Text with multiple numbers
Fortunately, in my data set, we had only a few incidents like these. So I have decided to manually adjust them than work out even more complicated formula.
Using Macros to extract numbers from text
As you can guess, we can use a simple macro (or UDF) to extract numbers from a given text. We will learn how to do this next week.
Download Example Workbook
Click here to download example workbook with all these formulas. Examine the formulas to understand how you can extract numbers from text in Excel.
How do you Extract numbers from Text?
Often I deal with data like this. I use a mix of techniques. Apart from the one mentioned above I also use,
- getNumber() UDF to extract numbers from text (more on this next week)
- Use SUBSTITUTE to clear formatting (replace dots with empty spaces and commas with dots to convert from European format to standard format)
- Use VALUE to extract the number (works when number is shown as text)
- Use +0 to force convert numbers from text (works when number is shown as text)
What about you? How do you extract numbers from text? What are your favorite techniques? Please share using comments.
Tips on cleaning data using Excel
If you use Excel to clean data, go thru these articles to learn some powerful techniques.
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