Using an Array Formula to Find and Count the Maximum Text Occurrences in a Range

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A week ago Tarun asked a question on the Chandoo.org Forums.

“I have got multiple names in each row and would like to have what name is repeated maximum number of times and how many times?

Eg. Ram, Amita, Obama, Ram, Willi, Ram, Amita, Chandoo, Ram, Willi

Ans: Ram (4 times)”

(The list and answers are edited)

Chandoo responded with a neat Array Formula:

=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))  &

” (“&MAX(COUNTIF(B2:K2,B2:K2))&” times)”

Lets take a look inside this and see how it works

 

THE EXAMINATION

The formula has two parts separated by a &

=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))

and

&

and

” (“&MAX(COUNTIF(B2:K2,B2:K2))&” times)”

Each part is separate and can be used independently, the & character simply joins the two parts together to make a single string which answers Tarun’s question, Ram (4 times).

Now, lets look at each part.

You can follow along with this forensic examination by downloading the Sample Data File.

 

=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))

This is a single Index Function with 2 components, being:

a Range B2:K2 and

a Count  MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0)

Typically an Index Function uses 3 components

=Index(Array, Row Number,[Column Number])

In this example the Range is a single Row, B2:K2

And so using the Counter in the Row spot has the effect of counting down the first Column and then continuing at the top of the second Column etc

So the formula used:

=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))

Is equivalent to:

=INDEX(B2:K2,1,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))

 

Now lets jump ahead to the COUNTIF(B2:K2,B2:K2) bit

If you copy =COUNTIF(B2:K2,B2:K2) to a cell, Press F2 and then evaluate the Formula using F9

You will see that it returns an array. The array is highlighted by the squiggly brackets {  } ‘s

={4,2,1,4,2,4,2,1,4,2}

This is the heart of the solution.

What this is showing us is that for each position in the range B2:K2, the count of how many times that cells value occurs in the range B2:K2

So the formula

=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))

Is equivalent to

=INDEX(B2:K2,MATCH(MAX({4,2,1,4,2,4,2,1,4,2}), {4,2,1,4,2,4,2,1,4,2},0))

Looking at the MAX({4,2,1,4,2,4,2,1,4,2}) part, this simplifies to 4, the Maximum value of the array (Remember this line, we’ll come back to it later).

So our simplified formula is now: =INDEX(B2:K2,MATCH(4, {4,2,1,4,2,4,2,1,4,2},0))

Now looking at the MATCH(4, {4,2,1,4,2,4,2,1,4,2},0) part of the equation

You can see that Match is looking for the value 4, in the array {4,2,1,4,2,4,2,1,4,2}, which is the First value , Position 1, the 0 requesting that an exact match is found.

So that MATCH(4, {4,2,1,4,2,4,2,1,4,2},0) is equivalent to 1

So our equation =INDEX(B2:K2,MATCH(4, {4,2,1,4,2,4,2,1,4,2},0))

Is now simplified even more to =INDEX(B2:K2, 1)

Index will then look in B2:K2 and will return the first cell or “Ram” in this example.

 

& “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”

The second part of the equation is responsible for counting the number of Times Ram occurs and displaying it with some text.

& “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”

The parts displayed in Red above add the text ( and times) to the Count

Remember the section MAX(COUNTIF(B2:K2,B2:K2)) which was explained above and evaluates to 4 in this case

So the & “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”

Part evaluates to: ( 4 times)

With the initial & adding it to the text of the first part Ram for the final result – Ram ( 4 times)

 

LEARN MORE ABOUT ARRAY FORMULAS

You can learn more about Array Formulas at the following links:

http://www.cpearson.com/excel/ArrayFormulas.aspx

http://www.databison.com/index.php/excel-array-formulas-excel-array-formula-syntax-array-constants/

http://office.microsoft.com/en-us/excel-help/introducing-array-formulas-in-excel-HA001087290.aspx

 

Chandoo.org has several articles on Array Formulas

http://chandoo.org/wp/tag/array-formulas/

 

FORENSIC FORMULAS

Would you like to see more “Forensic” examination of complex formulas ?

Let us know in the comments below and it may become a regular section at Chandoo.org.

 

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37 Responses to “Quickly Change Formulas Using Find / Replace”

  1. Andras Ujszaszy says:

    Chandoo,
    this is a really cool stuff what I use quite often. In addtion this method also could be a good choice to switch the reference type of the formulas from relative to absolute or vice versa. (just simply replace the $ in the same way).
    Andras

    • Chandoo says:

      @Andras: you are right, we can use find / replace to change references, reference types etc. Now, only if they had regex in find/ replace, we could so much more 🙂

      @Tony Rose: Thank you. This is very useful and powerful feature. I even use it for cleaning up data. While formulas are good, they are not the solution for every problem. Often when I need more powerful cleanup / changing, I copy paste the stuff to text editors like notepad++ and then use their find/replace to do the dirty task.

      • Sonia says:

        What if i have to change the formula from ='Analysis'!C1 to 'Analysis 1'!C1?
        I tried doing it using Find /Replace but could't. Encountered some errors.

        And is there a way to change this using VBA???

        • Ollie says:

          Hi,

          Did you ever get a reply to this?

          Thanks

          Ollie

        • MF says:

          to make your life easier, suggest you to avoid (Space) in worksheet names whenever possible. Consider (underscore) instead.

          • Luke Moraga says:

            As the first formula wouldn't have the single apostrophes (since there's no space) need to include that in replace. So, search for:
            Analysis

            and replace with:
            'Analysis 1'

  2. Tony Rose says:

    This could be the most useful tips I've seen in a while. I use this all the time and can instantly change 400 formulas with a few clicks. Like so many other functions in Excel, I don't know what I would do without this one.

    Keep 'em coming!

  3. [...] on formulas: 5 areas where mouse kicks keyboard’s butt | Edit formulas in bulk using Find / Replace | Excel Formulas Online [...]

  4. purushoth says:

    THANKS BRO

  5. The Red Ranger says:

    You, sir, are a god among men...

  6. David says:

    This is really cool. Your just save me hours of work. Thanks.

  7. Jodie says:

    Thanks so much for this fix! It saved me tons of work. I'm muddling my way through and this really helped!

  8. Jesse says:

    Oh... My... God!
    This tip just saved me about 2 hours every month! I can't believe how easy it is to use. Now, can somebody tell me who I should call to get a refund for the previous 100 hours I spent manually changing formulas cell by cell?
    Thanks so much! 

  9. Bilal says:

    THANK YOU!!!!
    You saved me hours, I had a sheet that has more than 500 formulas, and i needed to replace the year in all of them, you saved me hours

  10. Elliot says:

    Awesome info on replacing cell addresses in formulas. I have never heard about Ctrl+` before. Thank you!

  11. T says:

    I have something inside a formula like:
    =sum(A1, A2*10) all over I now need to get rid of the *10 {=sume(A1, A2)} I thought to use the find replace trick above but with a blank in the replace but it then outputs just zeros. I thought I could trick it by doing *1 but then it just turns into =*1) with none of my references. Does anyone have an idea how to do this?
    The Ctrl+ trick is cool.

  12. Peter says:

    Thank you! This literally will save me hours and hours of time, and that's without losing my sanity in the process!

  13. Brigitte says:

    I have Sheet(1), Sheet(2), Sheet(3), etc ... Sheet(100).
    Then there's a summary tab where I want to recap information on all those different sheets. Is there anyway to create a formula on the Summary tab to get ='Sheet(1)'!B$29 copied down for all 100 sheets without having to change each sheet # within the formula by hand?

    • Hui... says:

      @Brigitte
      If you have a list of the sheet names in A2:A100
      In B2: =INDIRECT("'"&A2&"'!$B$29")
      Copy down

      or if you don't have a list of the sheets names you can make it up on the fly
      =INDIRECT("'sheet("&ROW()-1&")'!$B$29")
      Copy down

      • Brigitte says:

        Thanks for the suggestion. However, I copied your formula right back to my file and it didn't work. So I did it another way. I put the tab/cell reference in one cell and then did an =INDIRECT() to capture that information.

        K2="'Sheet("&L2&")'!B$29" which has a value of 'Sheet(1)'!B$29
        B2=INDIRECT(K2) which now has a value of 40 (contents on Sheet(1).

        Thank you!!!!

  14. Mohammed Ali says:

    Thank you ..

  15. Niharika says:

    Hi, Out of all the formulae, I wish to replace the formula which has generated 0 value with blank space? I am unable to do it with find and replace function,

    Please suggest.

  16. Rashed says:

    Thanks.

  17. Kevin says:

    Chandoo, you literally just saved me about 2 hours of work. I had a document with a daily report in two formats. The second formate just linked to all the appropriate cells in the other format (different sheets). This was 180 references that needed to be changed and I had to make this for a 4 week period (aka 28 different sheets at 180 references to change per sheet).

    Thanks so much.

  18. Brian says:

    I have tried this way and without using the Ctrl-` formula view
    Either way, I am trying to do something simple, but it won't let me.

    I have a bunch of cells with a simple math formula like
    =-(0.5*20)
    various values in each cell, multiplied by 20

    I simply want to change the multiplier globally from 20 to 25. But when I tell it to find *20 and replace it with *25, it replaces the entire cell contents with *25, rather than just replacing the *20 portion of the cell contents.

    Can anyone assist with this? Seems so simple, but Excel isn't letting me do it.

    • Hui... says:

      Search/Replace 20 or 20) with a cell Reference eg A1 or A1)
      Then put the value 25 in A1

      By using a * in the search it replaces all the text

  19. sadaqat says:

    how to find a specific cell's value in a column & replace replace it with another cell value i actually need a method to replace a data in ca column and replace with the value i have in a specific cell can i give a [ location ] of data to what i need to find and then give row or column range to where i need to find and the given value & then give a [ location ] of data to what i want to be replace with the find and replace by row & column range & than by specific criteria and than by specific location.
    please help.

  20. sadaqat says:

    how to find a specific cell’s value in a column & replace replace it with another cell's value.
    i actually need a method to find a specific cell's data in a column and replace it with the value i have in a specific cell.
    can i give a [ location ] of data to what i need to find and then give row or column range from where i need to find the given value & then give a [ location ] of data to what i want to be replace with.
    find and replace by row & column range & than by specific criteria and than by specific location.
    please help.

  21. sadaqat says:

    how to find a specific cell’s value in a column & replace it with another cell’s value.
    i actually need a method to find a specific cell’s data in a column and replace it with the value i have in a specific cell.
    can i give a [ location ] of data to what i need to find and then give row or column range from where i need to find the given value & then give a [ location ] of data to what i want to be replace with.
    "find and replace by row & column range & than by specific criteria and than by specific location."
    in more than 100 sheets in entire workbook
    please help.

  22. Juaninho says:

    This is a great tool, does anyone knows an easiest way??

    I'm working with a system that has over 59000 references... so every time the replace all is activated. I lose an entire day.

  23. sadaqat says:

    i actually needs to find cell number "D12" in column "D" and replace with Cell Number "B8" for example
    find what = Cell Number "D12" John McNamara
    find Where = in Column "D"
    Replace with = Cell Number "B8" Bieber D'Souza
    Replace Range = Column "D"
    In which Sheet = All Sheets in Work Book (more than 100 Sheets)
    Note: in every Sheet Cells Number "D12" & "B8" containing Different Employ Name but the find rang and replace rang are same in every sheet and find what cell number and replace with cell number are same also.
    please help!

  24. sara says:

    thank you. saved lot of time.

  25. Crystal says:

    Thank you from the bottom of my heart!

  26. Gerard says:

    Hi, I am trying to figure out how to use RE to find and replace several values in a column. Using find and replace does not work because of the values I am working with. I have a column with hundreds of rows that have a description of several operating systems and other info, which looks like this: Windows Server 2008 R2 Member Server Security Technical Implementation Guide; Windows 2008 Member Server Security Technical Implementation Guide; Solaris 10 10 SPARC SECURITY TECHNICAL IMPLEMENTATION GUIDE; and Windows Windows 2003 Member Server Security Technical Implementation Guide.

    I need to be able to find and replace (or basically curtail the descriptions) to be Windows 2008 R2; Windows 2008; Windows 2003; and Solaris 10. BUT when I run find and replace with just *2008*, it finds every instance, including the ones with R2 at the end. I need it to only change the ones with 2008 to Windows 2008 and the ones that have 2008 R2 to Windows 2008 R2. I know it is possible, but I have no clue on how to write a macro to do this.

    Thanks for your help,
    Gerard

  27. Paul says:

    Wickedly efficient workaround. Excel really is a powerhouse program, all you have to do is dig into it. Ctl ~ exposes the formulas, and Ctl H allows for the multi edit. Brilliant, Chandoo!

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