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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20 Responses to “Untrimmable Spaces – Excel Formula”

  1. MF says:

    Hi Chandoo,
    First of all, HAPPY NEW YEAR!!! Wish you and your family another fruitful year ahead.

    To answer your question: Power Query is the best way to trim. 🙂

    Btw, if Power Query is not available, then formula would absolutely do... but did you forget to mention also Char 32?

    One more question: Is the trailing minus meant to be a negative number? Maybe only the sender knows... 🙂

    Cheers,

  2. Duncan Williamson says:

    I know these spaces can be a real pain but these days I advise Excel users to learn and use Flash Fill and that will learn what to do pretty quickly.

  3. David Hager says:

    Highlight range to be cleaned. Then, in Replace, hold down the Alt key and type 0160. Replace with nothing.

  4. Steve Jones says:

    I accomplished this by writing a macro to go through all the possible unprintable characters. Looped through the range.

  5. Ramnath D says:

    I use a different method here. First, I will copy the data from Excel and paste it in a notepad. In Notepad, I will do a Find Blanks (Space " ") and Replace (Empty) with nothing.

    Then you can copy the data from Notepad and paste it back to Excel which will be a perfect number as you desire.

    But Thanks for the formula. Its probably the 2nd out of 8 tricks as Chandoo mentioned. Waiting for the rest among 8 from other users 🙂

  6. Andrew says:

    I don't understand the x's. Why weren't they removed in the formula? Or are they part of some sort of numeric formatting that I'm not familiar with? I saw how you handled the non-breaking spaces and the dashes, but am confused about what role the x's played in all this.

    Thanks!

    • NARAYAN says:

      Hi Andrew ,

      The xs have been used solely to demarcate the actual data text ; thus , without the x in place at the end of text , as in :

      x 4,124,500.00 x

      it would be impossible to know that there are unwanted trailing characters , in this case , after the last 0.

      These xs are not part of the original data text , nor are they used in the formulae ; they are put in only so that readers can visualize the individual items of data as they are in practice. Think of them as imaginary delimiters.

      • Andrew Patceg says:

        Oh, that makes sense! Thank you for the explanation. I had a feeling it was something along those lines.

  7. Mucio says:

    You can type this character using the Keys Alt+0160.
    Very useful to replace this Character using Find and Select resource.

  8. Neva says:

    For many years, my jobs have included ETL tasks and I built this macro to help long, long ago. I tweak it every now and again. Many co-workers, past and present, have it wired to a button on their toolbar.

    Sub Clean_and_Trim()
    'CAUTION: Strips leading zeroes -- do not use on zipcodes, etc.

    If Application.Calculation = xlCalculationAutomatic Then
    Application.Calculation = xlCalculationManual
    Revert = 1
    ElseIf Application.Calculation = xlCalculationManual Then
    Revert = 0
    End If

    For Each Cell In Selection
    For x = Len(Cell.Value) To 1 Step -1
    If Asc(Mid(Cell.Value, x, 1)) = 160 Then
    Cell.Replace What:=Chr(160), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
    End If
    If Asc(Mid(Cell.Value, x, 1)) = 32 Then
    Cell.Replace What:=Chr(32), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
    End If
    Next x
    If Cell.Value "" Then
    Cell.Value = Application.Clean(Application.Trim(Cell.Value))
    End If
    Next

    If Revert = 1 Then
    Application.Calculation = xlCalculationAutomatic
    ElseIf Revert = 0 Then
    Application.Calculation = xlCalculationManual
    End If

    End Sub

  9. Brigitte Calahate says:

    This is awesome! What if you have several characters you need to have removed? What would be the easiest way as I can imagine there are several ways.?

    # - 35
    $ - 36
    - 62
    / - 47
    , - 44
    . - 46
    " - 34
    : - 58

  10. Roby says:

    This is typical case of a Fitbit data export to Csv file. Each number has CHAR160 as thousand separator.. how smart Fitbit, thank you 😉

    By the way, i prefer to copy the character, and use find and replace.

  11. Suhas Shetty says:

    Sometimes it happens if you copy a table from outlook and paste it in excel. When you apply formula on those cells you will get error. What i use to do is
    copy one character that looks like space,
    select the entire range,
    go to Find and replace,
    Paste the copied character in Find option
    Leave the replace option unfilled..
    click on replace all..

    All the errors shall be converted in to proper values..

    Process looks lengthier.. but it is one of the simplest method

  12. Gerry says:

    If Clean, Trim, and Substitute, or Find and Replace does not complete the job, I usually enter a value of 1 in an empty cell. Copy the Value of 1, Highlight the range of text numbers, and Paste Special, Values, Multiply. This site is great!

  13. king faisal says:

    You can use Dose for Excel Add-In that can quickly clean huge data with one click besides more than +100 new functions and features to add to your Excel to save time and effort.

    https://www.zbrainsoft.com

  14. R.Ranjit says:

    Hi,
    I have a problem in excel. The sheet attached herewith.

    TABLE CONFIG 2/6
    A B C D E F G H
    1 WEIGHT1 43,599 WEIGH2 62500 WEIGHT3 77000 WEIGHT4 66,500
    2 DEDUCTION1 15,000 DEDUCTION1 15,000 TEMP 0 DEDUCTION2 11,005
    3 RESULT 58,599 RESULT-1 77,500 RESULT-2 77,000 RESULT-3 77,505
    4 RESULT SUBSTRACT 0 0 0
    5 REQUIRED VALUE 77,500 77,000 77,505

    Note: 1- RESULT (58599) IS TO BE DEDUCTION EITHER FROM D4 OR F4 OR H4 WHICHEVER IS MOST
    LEAST CELL AMONG RESULT-1 OR RESULT-2 OR RESULT 3.
    2-HENCE, RESULT VALUE $B$3 IS TO BE PRESENTED ON CELL EITHER D4 OR F4 OR H4 WHICHER IS
    MOST LEAST VALUE
    3-FORMULA =IF(E8<H8,$B$9,IF(E8<J8,$B$9,IF(H8<J8,$B$9,IF(H8<E8,$B$9,IF(J8<H8,$B$9))))))
    CREATED ON CELL D4,F4 & H4 DID NOT WORK.
    PLS FOR YOUR HELP.
    THANK YOU

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