Formula Forensics 012. – A Neat Formula

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In early February Sujit asked a question at Chandoo.org, original post.

I require a formula stating criteria [0%-25% output will be 0, 26%-50% output will be 0.1, 51%-75% output will be 0.2, 76%-100% output will be 0.3 & 100% + output will be 0.4]

Kyle, responded with a neat Sumproduct formula

=SUMPRODUCT((B3>{0.25,0.5,0.75,1})*0.1)

I think it is so neat that it is worthy of sharing and detailing here at Formula Forensics:

So today we will pull Kyle’s answer apart to see what’s inside.

 

Kyle’s Formula

As usual we will work through this formula using a sample file for you to follow along. Download Here.

Kyle’s formula is a Sumproduct based formula

=SUMPRODUCT((B3>{0.25,0.5,0.75,1})*0.1)

Lets look at cell C3 as our example.

Chandoo.org;

In C3 we see the formula: =SUMPRODUCT((B3>{0.25,0.5,0.75,1})*0.1)

Which consists of a Sumproduct function and a formula inside the sumproduct.

We know from Formula Forensics 007 that Sumproduct, Sums the Product of the Arrays, and that when there is only 1 array it simply sums the array elements.

In this case the Sumproduct only has a single array as an element

=SUMPRODUCT((B3>{0.25,0.5,0.75,1})*0.1)

and so the (B3>{0.25,0.5,0.75,1})*0.1 component must return an Array of elements for the Sumproduct to sum.

If we now look at the (B3>{0.25,0.5,0.75,1})*0.1 component.

We can see that it consists of a comparison B3>{0.25,0.5,0.75,1}

The result of the comparison is Multiplied by 0.1.

Sujit’s orginal question asked: 0%-25% output will be 0, 26%-50% output will be 0.1, 51%-75% output will be 0.2, 76%-100% output will be 0.3 & 100% + output will be 0.4

And Kyles formula is using B3>{0.25,0.5,0.75,1} to work out which category the value in B3 belongs to.

We can see this if in a blank cell say C5: we enter the following:

= B3>{0.25,0.5,0.75,1} press F9 not Enter.

Excel will respond with ={TRUE,TRUE,TRUE,FALSE}

This is showing us that the 1st, 2nd and 3rd elements in the formula: B3>{0.25,0.5,0.75,1}, are True

In our example the value in B3 is 80% which is 0.8 which is Greater than 0.25 and Greater than 0.5 and Greater than 0.75, but Not Greater than 1.0.

The next part of Kyle’s formula is (B3>{0.25,0.5,0.75,1})*0.1

In a blank cell say C7: enter the following:

= B3>{0.25,0.5,0.75,1}*0.1 press F9 not Enter.

Excel will respond with ={0.1,0.1,0.1,0}

This is showing us the result of

=(B3>{0.25,0.5,0.75,1})*0.1

={TRUE,TRUE,TRUE,FALSE} *0.1

={0.1,0.1,0.1,0}

Sumproduct now only has to add up the Array

=Sumproduct({0.1,0.1,0.1,0})

Which it does returning 0.3.

 

The Neat Part

The neat part of this is that Kyle has used the 0.1 Multiplier to Force the array to an array of Numbers for Sumproduct to sum.

Had Kyle used:  =SUMPRODUCT((B3>{0.25,0.5,0.75,1}))*0.1

Excel would have returned an answer of 0

This is because as we saw in Formula Forensics 007, Sumproduct doesn’t know what to do with the array of True/False, they need to be converted to numerical equivalents for Sumproduct to operate on.

In a spare cell, say C9, enter: =SUMPRODUCT((B9>{0.25,0.5,0.75,1}))*0.1

Excel will respond with 0

Of course that can be fixed by using a double degative of a 1* inside the formula

In a spare cell, say C10, enter either:

=SUMPRODUCT(1*(B9>{0.25,0.5,0.75,1}))*0.1

or

=SUMPRODUCT(- -(B9>{0.25,0.5,0.75,1}))*0.1

Excel will respond with 0.3 as it should

Except that the formula is longer and now has to do 1 more multiplication.

 

Download

You can download a copy of the above file and follow along, Download Here.

 

Formula Forensics “The Series”

You can learn more about how to pull Excel Formulas apart in the following posts

Formula Forensic Series:

 

We Need Your Help

I have received a few more ideas since last week and these will feature in coming weeks.

I do need more ideas though and so I need your help.

If you have a neat formula that you would like to share and explain, try putting pen to paper and draft up a Post like above or;

If you have a formula that you would like explained but don’t want to write a post also send it to Chandoo or Hui.

 

 

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21 Responses to “Distinct count in Excel pivot tables”

  1. Al says:

    The distinct count option works well but I have found that if I have a date field and want to group by year, month, etc. that option seems to be disabled. I need to do both, distinct count and group by year/month.
    Example data; sales orders with item quantities with dates.
    Challenge; sum the item quantities, count the distinct orders and group by month. How do I do this?
    Perhaps that's not possible due to the grouping?

    • Chandoo says:

      @Al... When you use data model based pivots, you cannot group values manually anymore. Why not use Excel 2016's default date grouping option? In this case we have just a few dates, so Excel is not grouping them, but if you have an year's worth of data, when you make the pivot with date in the row label area, Excel automatically groups them. If you have fewer dates or want to use your own grouping, just create a table with all dates, add columns with month, week, year etc. Then connect this table (these types of tables are usually called as calendar tables) to your data on date field as a relationship. Now you can create reports by month, quarter etc easily.

      • Dan says:

        Is this the only way to do it in 2013? I find it rather cumbersome to have to create another data table listing dates with the another column for MONTH() and YEAR() to be able to summarise data for senior level...

        • Chandoo says:

          I know people find adding calendar tables cumbersome, but it is a best practice and let's you add more layers of analysis quite easily. For example, adding analysis by weekday vs. weekend or by financial quarter or YTD calculations (you would need either Power Pivot DAX or some very carefully setup pivot table value field settings)

  2. NC says:

    I had absolutely no idea this was possible. Very useful, nice work!

  3. Pete says:

    Doesn't work for 2010 version though (or at least not my works version)

    • NARAYAN says:

      Hi ,

      The post has the following in it :

      These instructions work only in Excel 2016, Office 365 and Excel 2013.

  4. Sarah says:

    when i have 2 different Pivot tables, one without the enabled “Add this data to data model” option, and the other one with it enabled.. is there anyway i can link slicers between them?
    if the answer is NO,, what to do ?

  5. Edgar says:

    Quick note, the “Add this data to data model” option is not available for the Mac version.

  6. Steve Curtis says:

    perhaps outside scope of this article but I have found when I attempt to create a pivot table from an external data source (connection to a sql view) the "Add this data to data model" becomes greyed out. Anybody experienced and found a solution so I can start getting distinct count in my pivot tables?

  7. Kelly Nanfito says:

    Is there a way to still add a calculated field when using distinct count?

  8. Luna says:

    I found I can't change the date source after tick the " add this data to the data model", can you help to adv how to change the date source in such case?

  9. Chris says:

    Is there a way to update the source once you have added to the data model? I receive a new spreadsheet weekly and would like to update the connection so my tables pull from the new source.

  10. Ankit Moral says:

    A big Thank you. It worked.

  11. Mohapi says:

    Hi, have survey data that I need to analyze but the challenge is that my key fields are showing horizontally. I tried to transpose the fields using Power Query, but unfortunately the new fields are returning same values on a pivot table despite using distinct values

  12. sorina says:

    How I can a do a pivot table with discount conts in some columns and then generate shor report filter pages. pls it drives crazy

  13. ira says:

    Hi. Why grand total pivot of distinct count is 13? shouldn't it be 67?

  14. Asia says:

    Great Answer! Saved me lots of time!
    Thank you!!!

  15. Suresh says:

    Worked awesome! Thanks!!

  16. Mayank says:

    Hi Chandoo,
    I am using pivot tables for distinct count and now I need to update them with new set of data. But when I update the source data, all the columns and formatting of Pivot table disappears and I need to build it from Scratch.

    Is there a possibility that I can update the source data with new rows added and also retain my pivot tables?

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