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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30 Responses to “18 Tips to Make you an Excel Formatting Pro”

  1. Hui... says:

    For my 2 cents worth:
    Less is more !
    Keep styles simple and in line with the corporate requirements of your employer/client

  2. Deb says:

    The table formatting is really useful, but I have found two sticky points:
    1. Cannot move or copy a sheet with a table in it.
    2. Cannot 'table format' multiple sheets at once.

    May be ways around these issues, but these are what keep me from using the table format more than I already do.

  3. Ulrik says:

    Remove gridlines in sheet
    Use dotted lines as internal borders in tables
    And just keep it simple - it's the substance that matters and there's already way too much eye candy out there

  4. Stephen says:

    I write a lot of financial reports conveying complex data in a userfriendly manner. I don't use colour (as it costs 7p/sheet verses B/W at 1p/sheet). The trick is to generate a table that someone will skim over for "the story" and then can refer back to understand it. very muck like Ulrik said, keep it simple.

    Some simple guidelines that I use:
    (a) align headings based on data (if data is text that means left, if data is numbers that means right)
    (b) do not align central numbers (unless all similar) i.e. how hard is it to read a column of numbers that contains €1.25 and €125
    (c) use borders to group columns and rows, don't format every line/column but allow the data to draw your eyes along it. "White lines" are as useful as borders
    (d) thin borders are better than fat borders - the fatter they are, the more they draw the eye... so use them to draw attention to key numbers (like a total) only.
    (e) use units to make numbers easier to read. Generally people cannot skim numbers with more than 3 d.p or 5 significant figures. so report in millions/thousands (or the other way as in ml)
    (f) avoid making text too small or too big. too small (less than 10) and people can't read it. too big (>14) and people struggle to skim over it (their eyes have to move too much)

    • Manjunath says:

      ......I don’t use colour (as it costs 7p/sheet verses B/W at 1p/sheet).....

      Not necessarily..
      Don't compromise on how good a sheet can be made to look on monitor. To print black and white, simply configure in page setup to print in black and white.

  5. Istiyak says:

    Like This post !!

    I m always using ALT + EST, not verymuch confirtable with cell style. will try to use color schemes (new feature)

    Regards
    !$T!

  6. Winston says:

    Hi Stephen,

    Do you have some non-proprietary samples you may share on drop box or Windows Live SkyDrive?

    Thanks
    w

  7. Carsten says:

    Great post!

    Which key ist EST from the shortcut "ALT+EST".
    I am using a german keyboard layout and have never heard something about an EST key.

    Thanks
    Carsten

    • Chandoo says:

      Hi Carsten...

      If you are using English version of Excel, then press ALT+E then leave the alt key, E key and then press S, then press T
      For German version of Excel, the keys would be different. I am not sure what they are.

  8. Fred says:

    it was nice MS come up with all the color schemes. However, corporate culture (or your boss) sometimes dominate or predetermine what style a spreadsheet should look like. So I hardly get a chance to use #1 to #3 shown above.

    Most of the times, it is someone else who wants a certain report or analysis gets to decide how s/he wants it to look like. I see myself more like a line chef or engineer. Others get to be the architect and I'm just a builder transforming a design into a real home. I don't get much say in it unless they are asking me to build a multistoried building on a single tooth pick as foundation.

  9. Carsten says:

    Hi Chandoo,

    thank you for your reply. Now I understand. It's something like searching for the ANY Key, because some program is displaying "Press any key to continue..."

    But to find the german version of this shortcut:
    ALT+E calls the Edit-menue? And for what are the S and T. Just tell me the english names of the menueitems, please.
    I think then I will find it.

    Carsten

  10. Adam says:

    @Carsten

    Alt+EST is
    (E)dit;
    paste (S)pecial;
    forma(T)s

    Excellent post guys!

  11. SARAN KUMAR says:

    @Carsten,

    Try to know how to find the shortcuts in the excel menu bar itself.

    You click Alt + any of the underline character in the menu bar, then excel will take you to that particular menu field.

    Now you can find different options in the dropdown menu. And each option has the name. Each name has underline in any of the characeter. That underline character is nothing but the shortcut key to execute that option.

    Like this you can find in excel all the options and their shortcut keys.

    Coming to the above example..

    Once you click alt + E, it will take you to the "EDIT" drop down menu. Under Edit there are so many options like cuT, Copy, Paste, paste Special, fIll.... etc., I think you can find underline under 't' in cut..'p' in paste..'s' in paste Special. You need to click the underlined character for the required options...Here the 'S' underlines for Paste Special option...

    Once you click 'S' it will open paste special options box...again you will find the same underlines in each of the names...here you can find different opetions like All, Formulas, Values, formaTs...etc. 'v' is nothing but Values option. Once you click V in the key board..it will execute paste special values option.

    As Summary Alt + (E)dit + paste (S)pecial + (V)alues

    Now you can find the shortcuts your own. all the best.

    Regards,
    Saran
    lostinexcel.blogspot.com

    • Manjunath says:

      You can also customize the quick access toolbar.. Once you find the icon you regularly use, right click and then select Add to quick access toolbar and once you are done, when you press Alt key it will be highlighted 1,2,3,4 etc depending upon the sequence of the icon..

  12. sixseven says:

    Ctrl-ES is sooooo 2003.

    Ctrl+Alt+V all the way baby!!!

  13. Jinesh says:

    You can DOUBLE-CLICK Format painter button to copy the formatting multiple times. Once you are done, press ESC key.
    //

  14. satheesh says:

    Hi,
    How to apply the custom styles for cells from the sql table, by using c# program.

    Thanks & Regards,
    Satheesh

  15. […] You can use the Page Layout section in Excel to apply colour themes to your reports. Chandoo.org has some useful Excel tips.  […]

  16. sujit says:

    Hi i want to print a page which have bottom line to print on each page end how to do that pls explain

  17. jay sharma says:

    Thanks Sir

  18. Srinivasan says:

    Thanks alot

  19. Srinivasan says:

    Very useful thanks

  20. mohamed salah says:

    thank you too much

  21. VIJAI S says:

    your tips are awesome.

  22. Kiran says:

    How to show a table with around 20-25 columns in the dashboard in the first page itself? I mean, within the dashboard area.
    Is there anyway we can add a horizontal scroll bar for the table?

    • Hui... says:

      @Kiran

      You never add tables directly to a dashboard

      You add cells that reference a table
      By reference I mean it gives you the ability via Formula or VBA to scroll up/down, Left/right or re-order the data
      Think of it as a window into the table

      This is discussed regularly in Chandoo's dashboard samples
      Have a look at the 2 links in Item 1: http://chandoo.org/wp/welcome/

      I'd then suggest asking a specific question in the Chandoo.org Forums and attach a sample file for a specific answer.

  23. sandra says:

    love it!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  24. Venkat says:

    I have a table of value for a month, with no data for few dates.
    I created a chart basing on above data.
    In the chart I find calendar dates, even though few dates with no data are not available in the table.
    How to remove the dates in the chart for those without data?

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