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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30 Responses to “Rescue oddly shaped data – Battle between Formulas, VBA and Power Query”

  1. MF says:

    Nice use of Power Query! Power Query is simply awesome! But somehow a lot of people are punishing themselves by not using it (not learning it).

    An imperfect 4th approach for consideration... no codes at all...
    Select myrange.
    Go to Special --> Blank
    Delete Cell --> Shift cell left
    90% done... now we just need to move the data of 2nd column to the bottom of 1st column
    Of course... Power Query is the best.
    Cheers,

  2. There is another way but it involves multiple steps:
    Copy the values in column E, move the cursor to F5, Paste Special with Skip Blanks, OK
    Copy the values in column D, move the cursor to F8, Paste Special with Skip Blanks, OK
    And so on.
    This works perfectly, albeit a little clumsily apart from the values in B17 and C16, which can be moved with simple copy and paste

  3. Robson says:

    Power Query Forever! I do not know how I survived for so long without knowing and using this tool, I can not recommend it to my colleagues, but by the way they prefer to suffer to learn.

    My congratulations here from Brazil.

  4. Haz says:

    I rolled my eyes when I saw that data

    Using decimal places is a nice trick to order data, thanks for that

    And tweaking the first formula a bit, you can use OFFSET instead of INDIRECT

    =OFFSET($A$1, MIN(IF(myrange, ROW(myrange)), ROWS(A$1:A1))-1, RIGHT(TEXT(MIN(IF(myrange, ROW(myrange) + COLUMN(myrange)*0.00001), ROWS(A$1:A1)), ".00000"), 5)-1)

    • Michael Connor says:

      Tried the above formula with the downloaded oddly shaped data file and I could not get it to work. I get #value without ctrl+shift+enter, and #ref with ctrl+shift+enter.

      • Haz says:

        Sorry, it was SMALL, not MIN.
        Add with CTRL+SHIFT+ENTER.

        • Michael Connor says:

          Thank you for your formula. Like the indirect formula I tested this one in older versions of EXCEL and it worked without ALTERATION in EXCEL 95. Very impressive.

  5. Bertie Hechter says:

    Too complicated

    Use =Sum to summarize all the sells to the left and Bobs Your Uncle

  6. Michael Connor says:

    I tested this formula in versions of Excel all the way back to Excel 95

    =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)))

    So there are multiple ways of cleaning up messy data by formulas.

    • Chandoo says:

      Wow.. Excel 95. Who knew people still use that. But as you have shown, Excel has all these beautiful and powerful functions for 23 years. It has data sciency stuff before DS was even a thing.

      • Michael Connor says:

        I had a problem with pasting the formula in the original post.
        Formula should be: =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)))

        EXCEL even in a 16 bit version, is a very robust and capable program.

  7. Michael Connor says:

    I don't like the VBA code. If you have a blank row in MyRange, the last entry in the range is doubled up in the paste.here range.

    • Chandoo says:

      Not really. The macro is writing one cell at a time from paste.here. You have to clean the range before, which I was too lazy to write. But a line like Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents should do the trick.

      • Michael Connor says:

        Adding Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents fixed the problem.

  8. A Rakesh Patro says:

    for step split column by delimiter i am not getting option of split into rows or columns. Can you help me in this

  9. Marc says:

    Thanks Chandoo for promoting Power Query.

    To simplify further, you can "Unpivot Columns" instead of right click on the newly created column and split it by comma in to rows in step 3 of Power Query.

  10. johan says:

    i used

    =LOOKUP(10000,B5:F5)

    and got the answers. I just plagiarized this formula somewhere and use it, maybe you can explain why it works.
    Regards

    • Chandoo says:

      @Johan... I am not sure if the formula works correctly. When I tested it with the sample data in this post, it showed #N/As in two cells. Essentially, it will only give first value in each row. So if a row has multiple values, then subsequent values are missed. LOOKUP() function goes thru a list and finds the first value that is less than or equal to the input - in this case 10000 in B5:F5.

  11. Ben says:

    I have the need to convert pdf's to excel on occasion and they often come out a mess like this. I have used:

    Cell G2 =COUNT(myrange)
    Cell G3 =IFERROR(IF(G2-1<1,"",G2-1),"") copied down to G100
    Cell H2 =IFERROR(LARGE(myrange,G2),"") copied down to H100

  12. Patrick says:

    Waouw...

    =IFERROR(INDIRECT("R" & SUBSTITUTE(TEXT(SMALL(IF(myrange "", ROW(myrange) + COLUMN(myrange)*0.00001),
    ROWS(A$1:A1)), "00000.00000"), ".", "C"), FALSE), "")

    but CTRL Shift Enter with {} before and after 🙂 😀

  13. Peter B says:

    Another possibility.
    This assumes that you have a row index 'k' to use in the SMALL function and a column index 'h' to identify the columns of 'myRange'.
    If you define 'coord' to refer to
    =k+h/10 [assuming h<10]
    then it will be possible to recover values later based upon location within 'myRange'. The formula 'nb' that identifies non-blanks by coordinates is given by
    = SMALL( IF(myRange"", coord), k )
    Finally, to unpick the pieces
    = INDEX( myRange, INT(nb), 10*MOD(nb, 1) )

  14. Peter B says:

    Whilst I am here and making trouble the PQ solution is also a tad over-complicated. All that is needed is to unpivot the entire table and remove the Attribute column.

    The advanced editor would show
    let
    Source = Excel.CurrentWorkbook(){[Name="myRange"]}[Content],
    #"Unpivoted Columns" = Table.UnpivotOtherColumns(Source, {}, "Attribute", "Value"),
    #"Removed Columns" = Table.RemoveColumns(#"Unpivoted Columns",{"Attribute"})
    in
    #"Removed Columns"

  15. vivian.liu says:

    1.fill the blank cells with 0
    2.the requested column value=sum of those mess number column
    but this can be used in only one column has value

  16. Juan Carlos Barreto says:

    Chandoo

    And if we use the formula SEARCH (100000000, B5: F5)

    JC

  17. Daniel Dion says:

    Another approach with Power Query, it will still work if the number of columns changed:
    let
    Source = Excel.CurrentWorkbook(){[Name="myrange"]}[Content],
    #"Added Custom" = Table.AddColumn(Source, "List", each Record.ToList(_)),
    #"Removed Other Columns" = Table.SelectColumns(#"Added Custom",{"List"}),
    #"Expanded LIst" = Table.ExpandListColumn(#"Removed Other Columns", "List"),
    #"Filtered Rows" = Table.SelectRows(#"Expanded LIst", each ([List] null))
    in
    #"Filtered Rows"

  18. Bob says:

    Nowadays, you can just use TOCOL on Excel 2024, MS 365, and Web Excel. It has a parameter to ignore blanks/errors/both.

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