How the tax burden has changed over the years – Excellent chart by NYTimes & Redoing it in Excel

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If I need some charting inspiration, I always visit New York Times. Their interactive visualizations are some of the best you can find anywhere. Clear, beautifully crafted and powerful. Long time readers of Chandoo.org knew that I like to learn from visualizations in NY Times & redo them using Excel.

Today let me present you one such chart.

How the tax burden has changed over the years – Visual story by NY Times

First take a look at this story on New York times website. Go ahead and check it out, I will wait for you.

Back already. Good.

Now that you have seen a well presented story with the support of panel charts, let us learn how to re-create such charts using Excel.

Look at the tax burden Excel chart

Take a look at the excel implementation of this chart below. Read on to learn how to create this.

Tax burden over years chart - recreated in Excel

 

[click here to see larger version]

Recipe for creating this chart using Excel

We need below ingredients to make this chart using Excel

  • Raw data
  • One area chart and few lines on top
  • Simple formulas
  • One Slicer (to select an year)
  • One large cup of coffee or whatever else that you gulp

So if you are ready, lets start cooking.

Step 0: Arrange data

This is a prerequisite for any charting exercise. Although we can work with data in any shape, for quick results, arrange your data in this format:

Data for tax burden chart

In the example file you will find data for overall tax burden for all 9 tax brackets in the years 1980-2010.

Step 1: Create an area chart from all the data

Simple, select tax bracket & tax percentage rows and create an area chart. This is how it should look.

Step 1: Create an area chart from all data - tax burden chart in Excel

Step 2: Insert 2 columns after every tax bracket in your source data

Very simple, just add 2 blank columns after every tax bracket to your source data. This will change your chart to,

Step 2: Insert 2 columns after every tax bracket in your source data - tax burden chart in Excel

Step 3: Adjust data settings so that blank cells are treated as gaps

Right click on the chart, go to Select Data > Hidden & Empty cells

Specify that all blank cells should be treated as gaps. See below.

Step 3.1: Treating blank cells as gaps - tax burden chart in Excel

Now, your chart should look like this:

Step 3.2: area chart with gaps - tax burden chart in Excel

Step 4: Add a line to the chart & format it

Although our chart looks almost like NY Times chart, we still need to show a line on top. For this,

  1. Go to your data, reselect all the tax burden %s and copy them.
  2. Come back to the chart, select it and paste. (more on this)
  3. Excel will add this new data as another series to chart
  4. Right on this new series, choose Change series chart type
  5. Select Line chart
  6. Format the chart so that it looks like below.

step 4: add same data again and convert it in to a line - tax burden chart in Excel

Step 5: Remove grid lines & fake them using additional series

Excel chart’s grid lines always show up behind the data. For our chart, we want them on top. So let just delete grid lines and fake them using additional lines on the chart.

For this,

  1. In your data, add 9 extra rows at bottom (why 9? because we want to show one grid line for every 5% and the maximum we have is around 45%)
  2. Fill first row with 0.05, second with 0.1, third with 0.15… ninth with 0.45
  3. Copy all these and paste them in the chart. You should have nine lines across the chart.
  4. Now, format each line so that it looks like a dull white line with dashes.
  5. When you are done, the final output should look like this:

Step 5: Remove grid lines and fake them using additional series

Step 6: Remove horizontal axis (x-axis) labels & fake them too

Again, horizontal axis labels produced by Excel are useless for us. So we will create our own.

  1. First delete the existing axis.
  2. Then add a text box to the chart and place it where axis should be.
  3. Type the values 1980 few spaces 2010.
  4. Adjust the font size to 7pt.
  5. Now play with the text box until you are satisfied for one tax bracket.
  6. Then copy paste it 8 more times and adjust their positions.

Although we could automate this step, it felt un-necessary as the years are not going to change.

Our chart is almost ready

At this stage, our chart looks like below.

Step 6: remove x-axis labels and fake them using text box with 1980 spaces 2010

It is almost ready, but we need few more additions.

  • We need to add labels to first & last point in each tax bracket.
  • We need a mechanism so that user can select a particular year.
  • When any year is selected, we need to show that year’s tax burden %.

Adding labels for first and last points

This is done by adding one more series of values. This new series (lets call it label-first-last) will have values for only 1980 & 2010. Everything else will be NA().

The formula I used to generate this series is,

=IF(OR(year=1980,year=2010),taxburden,NA())

Once this series is added, we just format it so that only markers are shown (no line) and then add data labels. Format the labels to show in 0% format. Adjust their size and position.

Also add arrow shaped boxes on top to label each tax bracket.

 

Tax burden chart in Excel - after adding labels for first and last year

Enabling year selection thru Slicers

[This works only for Excel 2010 or above]

In a blank sheet type the years 1980 thru 2010. Select them and create a pivot.

Once the pivot is ready, insert a slicer for the years field.

For detailed steps on slicer creation see this illustration.

Creating years slicer using Excel 2010 - tutorial

Figuring out which year is selected

Once the slicer is ready, we need to figure out if user made a selection thru slicer. To do this,

  1. Use a simple formula to check how many values are shown in the pivot table (ex: COUNTA(pivot!A:A) )
  2. If only one value is shown, then extract it by referring to first row item in pivot (=pivot!A4)

Adding labels for selected year

Once we know which year is selected, we can easily create one more series that has NA() for all values except selected year. The rest you know.

Final outcome – Tax burden over the years chart using Excel

Tax burden over years chart - recreated in Excel

Download this example & Play with it

Click here to download the tax burden chart. Play with it to learn more. Examine the formulas in “Data” sheet & scroll down on “Chart” sheet for step by step instructions.

Do you like this chart?

I really loved how NY Times has been able to tell a very good story by using multiple panel charts. These are great way to examine multidimensional data and understand what is going on.

What about you? Do you like this chart? Please share your thoughts and ideas using comments.

More such charting inspiration

If you are looking for some fresh charting inspiration & ideas, you are at the right place. Check out these examples to get started:

Do you want to create powerful & insightful charts like these?

If you want to learn how to create these types of charts, consider enrolling in our Excel School program. Be warned, you will become unusually awesome in Excel by going thru our course 🙂

Click here to know more about Excel School.

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40 Responses to “Looking up when the data won’t co-operate (case study)”

  1. Sumit Bansal says:

    Nice Trick.. Clever use of cell references

    Here is a formula I tried to create:
    =SUMPRODUCT(((NOT(ISERROR(SEARCH(L5,B4:H14))))*1),(B5:H15))

    It takes care of Caveat #1 (can handle text), but Caveat #2 remains.

  2. PeterB says:

    In situations like this, I will often use VBA to restructure the data (2 columns: dates and values) on to a new worksheet. I can then use this 'clean' source for data analysis (formula or pivot table).

    =SUMPRODUCT(((NOT(ISERROR(SEARCH(L5,B4:H14))))*1),(B5:H15)) and complex formulae in general are all very well but when you come back to them in a few weeks / months time, it is not at all easy to see what they do and what the limitations are.

  3. Somendra Misra says:

    Hi Chandoo,

    I had used this type of cell ref. various times while calculating average.
    But for the situation here try below formula . Note this is an array formula and must be confirmed with Ctrl+Shift+Enter.

    =SMALL(IF(MMULT((L5=B4:H14)*IF(ISNUMBER(B5:H15),B5:H15),{1;1;1;1;1;1;1}),MMULT((L5=B4:H14)*IF(ISNUMBER(B5:H15),B5:H15),{1;1;1;1;1;1;1})),1)

    Regards,

  4. Somendra Misra says:

    Hi, I think Using SEARCH in here will create a problem say there is a text like SUN and another text SUNLIGHT both result will be added by SUMPRODUCT.

    Regards,

  5. Elias says:

    Array option.

    =SUM(IF(MOD(ROW(B4:B14),2)=MOD(ROW(B4),2),IF(B4:H14=L5,B5:H15)))

    Regards

    • Michael (Micky) Avidan says:

      @Elias,
      Nice approach.
      Although not requested - the formula I suggested closes all possibilities.
      Criteria: _____ Value to retrieve:
      Date__________ Numeric
      Date__________Textual
      Textual________Numeric
      Textual________Textual
      While your formula copes with only the 3 first combinations.
      Michael (Micky) Avidan
      “Microsoft® Answer” – Wiki author & Forums Moderator
      “Microsoft®” MVP – Excel (2009-2015)
      ISRAEL

      • Elias says:

        @Michael,

        Sorry but I don’t understand your point. I believe the challenge was to return the summary of a given date. What is your really volatile formula doing that mine is not?

        Regards

        • Michael (Micky) Avidan says:

          @Elias,
          I didn't say that the challenge differs from what you just mentioned/aimed to nor that your formula doesn't provide the requested result.
          Please read my previous comment again and focus on the last combination (TEXT / TEXT).
          I, myself, always try to provide a global Formula that is capable to handle all sorts of data.
          Michael (Micky) Avidan
          “Microsoft® Answer” – Wiki author & Forums Moderator
          “Microsoft®” MVP – Excel (2009-2015)
          ISRAEL

          • Elias says:

            @Michael,
            I see your point, but you are missing the below points if you are trying to cover all sorts of data.

            What happened if the lookup value does not exist?

            Do you want the first, second, summary, concatenation of the values if the look value is repeated?

            See they are too many possibilities to be cover with just one formula.

            Regards

  6. Michael (Micky) Avidan says:

    1) The range: B4:H15 was named: RNG.
    2) The following Array Formula was "retrieved from my sleeve" and I hope it can be shorten.
    3) The formula seems to take care of BOTH(!) caveats.
    -------------------------------------------------------------------------------
    =OFFSET(INDIRECT(ADDRESS(SMALL(IF(RNG=L5,ROW(RNG),""),1),MOD(SMALL(IF(RNG=L5,(ROW(RNG))+COLUMN(RNG)/10),1),1)*10)),1,)
    -------------------------------------------------------------------------------
    Michael (Micky) Avidan
    “Microsoft® Answer” – Wiki author & Forums Moderator
    “Microsoft®” MVP – Excel (2009-2015)
    ISRAEL

    • Elias says:

      @Michael,

      Check what happened with your result if you type 41927 in D5.

      Regards

      • Michael (Micky) Avidan says:

        Correct. Didn't predict that.
        Will find time to work something out.
        Michael (Micky) Avidan
        “Microsoft® Answer” – Wiki author & Forums Moderator
        “Microsoft®” MVP – Excel (2009-2015)
        ISRAEL

      • Michael (Micky) Avidan says:

        @Elias,
        Let's hope the following Array Formula "closes all open doors".
        Again - it has nothing to do with your formula which works fine as long as the 3 first mentioned combinations are concerned.
        -------------------------------------------------------------------------------
        =INDEX(RNG,LARGE(IF(RNG=L5,MOD(ROW(RNG)-1,2)*(ROW(RNG)),""),1)-2,(MOD(SMALL(IF(RNG=L5,(ROW(RNG))+COLUMN(RNG)/10),1),1)*10)-1)
        -------------------------------------------------------------------------------
        Michael (Micky) Avidan
        “Microsoft® Answer” – Wiki author & Forums Moderator
        “Microsoft®” MVP – Excel (2009-2015)
        ISRAEL

        • Elias says:

          Ok, if you insist. The following will cover all the scenarios you listed. However, I’ll never recommend/use such of formula.

          Defined names:
          rDat = $B$4:$H$15
          rRow =ROW(rDat)-MIN(ROW(rDat))+1
          rCol =COLUMN(rDat)-MIN(COLUMN(rDat))+1
          rInc =MOD(rRow,2)=MOD(MIN(rRow),2)

          L6=INDEX(rDat,MAX(IF(rInc,IF(rDat=L5,rRow)))+1,MAX(IF(rInc,IF(rDat=L5,rCol))))
          Array Enter

          Regards

        • Frank says:

          @Michael,

          unfortunately, your array formula still seems to return wrong results (eg 3-Nov).

  7. Magda says:

    If data are organized like in the example, ie. looks like a calendar, the INDEX formula seems quite simple:
    =INDEX($B$4:$H$15,ROUNDDOWN((L5-B4)/7,0)*2+2,MOD((L5-B4),7)+1)

    • Marc says:

      Yours is effectively the same as what I just came up with, and I believe this is the optimal answer to this particular problem.

      My solution, before I saw yours:
      =OFFSET(B5,QUOTIENT(L5-B4,7)*2,MOD(L5-B4,7))

      OFFSET will work for an arbitrary list size, but INDEX might be easier to read.
      QUOTIENT does the round and division in a single step.

  8. XOR LX says:

    If there's an improvement over Elias's solution then I for one can't see it.

    Perhaps a non-CSE version which would also mean that only two references (B4:H14 and B5:H15), as opposed to three (B4, B4:B14 and and B5:H15), would require manually amending should the data range change, i.e.:

    =SUMPRODUCT((ISEVEN(ROW(B4:H14)-MIN(ROW(B4:H14)))*(B4:H14=L5)*B5:H15))

    I suppose we could make it a single, uniform range reference:

    =SUMPRODUCT((ISEVEN(ROW(B4:H14)-MIN(ROW(B4:H14)))*(B4:H14=L5)*OFFSET(B4:H14,1,,,)))

    which might be more appropriate should we e.g. wish to use a Defined Name for our range, i.e.:

    =SUMPRODUCT((ISEVEN(ROW(Rng)-MIN(ROW(Rng)))*(Rng=L5)*OFFSET(Rng,1,,,)))

    though whether that compensates for the extra, volatile function call is something to be debated.

    Regards

  9. Mahir says:

    I have tried something and then my Excel workbooks got shut down. Maybe that was too much?

    Anyway here is what I've tried:

    =SUMPRODUCT(INDEX(B5:H15;IF(ISEVEN(ROW(B5:H15));ROW(B5:B15)-ROW(B5)+1);{1\2\3\4\5\6\7}))

    Guess that was wrong? Would this approach work anyway?

    Looking forward to learn something from you Excel Experts.

  10. XOR LX says:

    @Michael Avidan

    As it stands that is not a very rigorous construction.

    You say "I, myself, always try to provide a global Formula that is capable to handle all sorts of data", which is a wonderful philosophy, but isn't it at least as important that we ensure that our formulas are independent of the row and column references of the data range in question, so that, should that range change, we do not have to re-work our solution?

    What happens with your formula, for example, if RNG is instead re-located one row down, from B4:H15 to B5:H16?

    When a formula is reliant upon the addition/subtraction of certain constants within the formula, which themselves are necessarily dependent upon the specific rows/columns in which the data lies at any given time (e.g. the -1 in MOD(ROW(RNG)-1,2)), then that formula is not a very flexible one.

    Hence the reason for my choice of a slightly longer construction:

    ROW(B4:H14)-MIN(ROW(B4:H14))

    which ensures that this part of the calculation is not dependent upon the precise location of the data range within the worksheet, and so will give correct answers even if that range is re-located.

    Regards

  11. Haz says:

    {=OFFSET(B4,MAX((B4:H15=L5)*ISODD(ROW(1:12))*ROW(1:12)),MAX((B4:H15=L5)*ISODD(ROW(1:12))*COLUMN(A:G))-1)}

    • Haz says:

      Non-array formula:
      =INDEX(B4:H15,SUMPRODUCT((B4:H15=L5)*(ROW(B4:H15)-ROW(B4)+1)*ISODD(ROW(B4:H15)-ROW(B4)+1))+1,SUMPRODUCT((B4:H15=L5)*(COLUMN(B4:H15)-COLUMN(B4)+1)*ISODD(ROW(B4:H15)-ROW(B4)+1)))

      Using one range (B4:H15), one reference (B4), one lookup value (L5) and no INDIRECT or OFFSET.

  12. MF says:

    My trial with defined names:

    DateRange
    =$B$4:$H$4,$B$6:$H$6,$B$8:$H$8,$B$10:$H$10,$B$12:$H$12,$B$14:$H$14

    Position
    =RANK('lookup problem'!$L$5,DateRange,1)

    L6
    =OFFSET(B4,ROUNDUP(Position/7,0)*2- 1,IF(MOD(Position,7)=0,6,MOD(Position,7)-1))

  13. Jeff Weir says:

    I'd probably just run with something like:
    =SUMPRODUCT((B4:H14=L5)*(MOD(ROW(B4:H14),2)=MOD(ROW(B4),2))*B5:H15)
    ...which is basically the same as Elias' but without the IFs

  14. Bermir says:

    The opposite of elegant but it works...

    =INDEX(B4:H15,IFERROR(MATCH(L5,B4:B14,0),0)+IFERROR(MATCH(L5,C4:C14,0),0)+IFERROR(MATCH(L5,D4:D14,0),0)+IFERROR(MATCH(L5,E4:E14,0),0)+IFERROR(MATCH(L5,F4:F14,0),0)+IFERROR(MATCH(L5,G4:G14,0),0)+IFERROR(MATCH(L5,H4:H14,0),0)+1,IFERROR(MATCH(L5,B4:H4,0),0)+IFERROR(MATCH(L5,B6:H6,0),0)+IFERROR(MATCH(L5,B8:H8,0),0)+IFERROR(MATCH(L5,B10:H10,0),0)+IFERROR(MATCH(L5,B12:H12,0),0)+IFERROR(MATCH(L5,B14:H14,0),0))

    • Bermir says:

      =INDEX(B4:H15,
      IFERROR(MATCH(L5,B4:B14,0),0)+
      IFERROR(MATCH(L5,C4:C14,0),0)+
      IFERROR(MATCH(L5,D4:D14,0),0)+
      IFERROR(MATCH(L5,E4:E14,0),0)+
      IFERROR(MATCH(L5,F4:F14,0),0)+
      IFERROR(MATCH(L5,G4:G14,0),0)+
      IFERROR(MATCH(L5,H4:H14,0),0)+1,
      IFERROR(MATCH(L5,B4:H4,0),0)+
      IFERROR(MATCH(L5,B6:H6,0),0)+
      IFERROR(MATCH(L5,B8:H8,0),0)+
      IFERROR(MATCH(L5,B10:H10,0),0)+
      IFERROR(MATCH(L5,B12:H12,0),0)+
      IFERROR(MATCH(L5,B14:H14,0),0))

  15. HF says:

    Named Range
    rownum = SUMPRODUCT(('lookup problem'!$B$4:$H$14='lookup problem'!$L$5)*ROW('lookup problem'!$B$4:$H$14)*ISEVEN(ROW('lookup problem'!$B$4:$H$14)))

    Formula
    =OFFSET($A$1,rownum,MATCH(L5,INDIRECT("$B"&rownum&":$H"&rownum),0))

  16. Venky says:

    How about SUM(IF(B4:H14=L5,B5:H15)) with array..it should work

  17. xen says:

    Sorry, Chandoo, you can't find stuff this way in every possible scenario.
    What if 2014-10-01 sales would equal 41.927 ? Which is serial number for 2014-10-15 ? SUMIF would fail to retrive correct answer. And your example data suggest that such number is possible in your table.

    It's better not to search through dates and numbers at the same time.

    If I'd solve a problem like this, it'd reformat table first so I get one column with dates and the other with numbers.

    In this case, formula to form date column would be:
    =INDIRECT(ADDRESS((INT((ROW()-4)/COUNT($B$4:$H$4))+1)*2+2;MOD(ROW()-4;COUNT($B$4:$H$4))+2;4;1))
    and numbers would be the same formula with sight adjustment (+3 instead of +2 at the end of first argument):
    =INDIRECT(ADDRESS((INT((ROW()-4)/COUNT($B$4:$H$4))+1)*2+3;MOD(ROW()-4;COUNT($B$4:$H$4))+2;4;1))

    And now you got two columns that you can safely use for searching!

  18. xen says:

    Oops, sorry, you actually mentioned that it doesn't work if number=date! I missed that part 🙁

  19. Vad says:

    ={OFFSET(A1,SUM((B4:H14=L5)*ROW((B4:H14))),SUM((B4:H14=L5)*COLUMN((B4:H14)))-1)}

    Works for all data... the solution I got for indirect looks little lengthy

  20. Rajesh says:

    I want to count last 20 records of a person, whose marks is greater than 2 and grade "manager". ....

    Assume A1 has got names (James, John...etc...)
    A2 "Manager"

    A3 "2"

    Someone please reply

  21. Rajesh says:

    I want to count last 20 records of a person, whose marks is greater than "2" and grade "Manager"

    Assume A1 "geroge" A2 "Michael" A3 "George" etc...name can found anywhere in the rows

    B1 "Manager" B2" clerk"

    C1 "2" C2, "4"

    please reply

  22. Marc says:

    Simplest I can come up with. No limitations for either 1 or 2. This does assume dates are an ordered list with 7 per row, and 2 rows per set. Assuming this is always true this will work for an arbitrary long list of dates.

    =OFFSET(B5,QUOTIENT($L$5-$B$4,7)*2,MOD($L$5-$B$4,7))

    • Michael (Micky) Avidan says:

      @Marc,
      Nice approach - however, as there are no "Negative Dates" - try:
      =OFFSET(B5,INT(L5-B4)/7)*2,MOD(L5-B4,7))
      ——————————————————————————-
      Michael (Micky) Avidan
      “Microsoft® Answer” – Wiki author & Forums Moderator
      “Microsoft®” MVP – Excel (2009-2015)
      ISRAEL

  23. Vijaykumar Shetye says:

    =OFFSET(B4,ROUNDUP((L5-41911+1)/7,0)*2-1,MOD(L5-41911,7))

    B4 has been used as reference cell for OFFSET().

    FOR ROWS:
    ROUNDUP(....,0) gives the integer value of a division. In case of presence of a remainder, ROUNDUP will add 1 to the Quotient.
    As opposed to ROUNDUP(), the INT() or QUOTIENT() functions eliminate the remainder.

    41911 = 01-Sept-2014, the first date in the data.

    *2 has been used because there are 2 columns per set of data.

    /7 has been used because there are 7 columns per set of data.

    For columns
    MOD(L5-41911,7))

    Vijaykumar Shetye,
    Panaji, Goa, India

  24. Awais says:

    This is how i did it

    {=INDEX(B4:H15, MAX((L5=B4:H15)*ROW(B4:H15))-2, MAX((L5=B4:H15)*COLUMN(B4:H15))-1 )}

  25. Paul says:

    Here's my solution:

    =INDEX(B4:H15,MATCH(1,MMULT(--(B4:H15=L5),TRANSPOSE(COLUMN(B4:H15)^0)),0)+1,MATCH(1,MMULT(TRANSPOSE(--(B4:H15=L5)),ROW(B4:H15)^0),0))

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