3D Max Formula for Excel

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We all know about the MAX formula. But do you know about 3D Max?

Sounds intriguing? Read on.

Lets say you are the sales analyst at ACME Inc. Your job involves drinking copious amounts of coffee, creating awesome reports & helping ACME Inc. beat competition.

For one of the reports, you need to find out the maximum transactions by any customer across months.

But there is a twist in the story.

Your data is not in one sheet. It is in multiple sheets, one per month.

Like this:

3d max formula - what is the maximum of all months?

How to get the max value for all months?

Using 3D MAX formula

We can use 3D formulas in such cases. 3D formula?!?

Lets say our transaction data is in column C, in range C5:C44 in all sheets (same cells in all sheets)

To calculate the max of all the transactions, we simply write:

=MAX(Jan:Jun!C5:C44)

Notice the blue text? That is what makes our references 3D.

Aside: If row & columns make Excel 2D, sheets in a workbook act as 3rd dimension. Hence the name 3D reference.

This formula will go and fetch all the C5:C44 data from sheets Jan thru Jun and gives us the desired answer.

Related: Consolidating data from multiple sheets using 3D references.

What if you want to consider only specific months

The 3D formula approach is simple & powerful. But what if you want to consider data only in a specific list of sheets (or months in our case)?

For example, what formula would work if we want to calculate maximum transactions in months Jan, Mar, Apr & Jun alone?

Lets say the names of the sheets we want to consider is listed in a range called sheet.names

Sheet names in a range - 3D max formula problem in Excel

Also, keep in mind that the data is in range C5:C44 in all the sheets.

Then the below formula gives us maximum value from the selected sheets.

{=MAX(N(INDIRECT(ADDRESS(ROW(A5:A44),3,1,1, TRANSPOSE(sheet.names)))))}

It is an array formula. So you must press CTRL+Shift+Enter to get the correct result.

PS: Thanks to Pranay Shah, whose question inspired me to write this formula.

How does it work?

First lets figure out the logic we need to use.

  • We have a list of sheet names in the range sheet.names
  • For each sheet, get the data from cells C5:C44
  • Calculate the max of all this data

Now, lets take a look at the formula, inside out.

ROW(A5:A44) portion: This generates an array for numbers from 5 to 44 – {5;6;7;…;42;43;44}

Transpose(sheet.names) portion: This transposes the vertical sheet names array to horizontal. So {“Jan”;”Mar”;”Apr”;”Jun”} becomes {“Jan”,”Mar”,”Apr”,”Jun”}

ADDRESS(ROW(),3,1,1,TRANSPOSE()): This generates an array of cell addresses from rows 5 to 44, column 3 and sheets in sheet.names range. The result looks like this:

{“Jan!$C$5″,”Mar!$C$5″,”Apr!$C$5″,”Jun!$C$5”; “Jan!$C$6″,”Mar!$C$6″,”Apr!$C$6″,”Jun!$C$6”;
“Jan!$C$7″,”Mar!$C$7″,”Apr!$C$7″,”Jun!$C$7”; “Jan!$C$8″,”Mar!$C$8″,”Apr!$C$8″,”Jun!$C$8”;
“Jan!$C$9″,”Mar!$C$9″,”Apr!$C$9″,”Jun!$C$9”; “Jan!$C$10″,”Mar!$C$10″,”Apr!$C$10″,”Jun!$C$10”;

“Jan!$C$41″,”Mar!$C$41″,”Apr!$C$41″,”Jun!$C$41”; “Jan!$C$42″,”Mar!$C$42″,”Apr!$C$42″,”Jun!$C$42”;
“Jan!$C$43″,”Mar!$C$43″,”Apr!$C$43″,”Jun!$C$43”; “Jan!$C$44″,”Mar!$C$44″,”Apr!$C$44″,”Jun!$C$44”}

Why TRANSPOSE()?

If we have not TRANSPOSE()ed either sheet.names or row numbers, we will not get full list of addresses. TRANSPOSE forces Excel to generate all combinations of addresses from given row numbers & sheet names.

For example, here is the result of the formula

ADDRESS(ROW(A5:A44),3,1,1, sheet.names)

Notice the missing TRANSPOSE()

{“Jan!$C$5″;”Mar!$C$6″;”Apr!$C$7″;”Jun!$C$8”;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A; #N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A; #N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A; #N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A;#N/A}

INDIRECT(ADDRESS()) portion: We have the addresses and we need values. This is exactly the purpose of INDIRECT formula. So we pass the list of addresses to INDIRECT to get the cell values.

This results in an array of numbers like this:

{1400,900,1225,1440; 1035,1300,850,1850; 990,2000,1140,775; 1520,870,1225,650; 1300,1000,1800,875; 1305,980,1085,1215; 750,1350,1000,1330; 1050,600,1125,1755; 990,735,1350,1600; 1215,1750,770,625; 1600,735,1305,1300; 960,1950,1480,1800; 1215,1365,1110,1395; 1320,910,750,1560; 1700,975,1125,1480; 900,1400,780,1300; 1485,1440,960,1300; 825,2125,1110,1215; 1000,945,810,1120; 1650,500,1170,990; 1440,1080,1110,840; 1035,840,1300,800; 1225,1330,1020,1560; 1100,690,1170,780; 600,700,1280,990; 1000,1000,1400,700; 1260,1520,875,1305; 1360,1260,925,1320; 810,1100,2000,1800; 825,690,750,1215; 1575,1560,1000,1900; 1190,1080,960,1400; 1200,1200,1160,980; 900,1665,575,500; 880,1000,1200,1550; 1000,950,1440,550; 1400,900,1000,1190; 750,1190,1110,700; 1710,805,800,1755; 1950,1365,660,1150}

Now, notice the 2 dimensional nature of this array. It has 4 items per row.

N(INDIRECT()) portion:

We just pass the array of numbers to N() so that they are force converted to numbers. This step ensures that we get correct results with MAX.

Note: Even without N() your array formula shows a result, but often this will be incorrect. I assume it is one of the quirks of Excel and we just have to use N().

Related: See how N() plays a vital role in situations like – dynamic charts from non-contiguous data & String parsing.

MAX(N()) portion:

This will just tell us what the maximum number in that array. Make sure you press CTRL+Shift+Enter to get the correct result.

Download Example Workbook

If all these MAX formulas are confusing, check out the example workbook. It shows all these. Play with the formulas and examine the results to learn more.

Do you use 3D references?

I rarely use them. This is because, most of the times, my data is in one place. If is it scattered across multiple sheets, I usually spend time writing a macro (or using Power Query) to consolidate the data to one place before attacking the analysis problems.

But I find 3D references & formulas a powerful way to answer questions like this.

What about you? Do you use 3D references in your formulas? When do you use them? Please share your thoughts & experiences using comments.

Learn more

If this technique sounds interesting, check out below tutorials to learn more.

 

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27 Responses to “Sum of Values Between 2 Dates [Excel Formulas]”

  1. dexter says:

    I would apply a filter and use function subtotal, with option 9. This way you can see multiple views based on the filter.

  2. Michael Azer says:

    hey Chandoo, the solutions you proposed are very efficient, but if I wanted to be fancy I would do it this way .. the references are as your example workbook.
    =SUM(INDIRECT("C"&(MATCH(F5,B5:B95)+4)):INDIRECT("C"&(MATCH(F6,B5:B95)+4)))

  3. Luke M says:

    I like things simple:
    =SUMIF(B5:B95,">="&F5,C5:C95)-SUMIF(B5:B95,">"&F6,C5:C95)

  4. Matt S says:

    use something like: =SUM(OFFSET(B1,0,0,DATEDIF(A1,D1,"d")))
    and have D1 be the date that I want to sum to.

  5. Tom J says:

    In Excel 2003 (and earlier) I'd use an array formula to calculate either with nested if statements (as shown here) or with AND.

    {=SUM(IF(B5:B95>F5,IF(B5:B95<F6,C5:C95,0),0))}

    Note that I truly made this for BETWEEN the dates, not including the dates

  6. Andrew says:

    I turned the data set into a table named Dailies.
    I named the two limits StartDate and EndDate.

    And used an array formula:

    {=SUM((Dailies[Date]>=StartDate)*(Dailies[Date]<=EndDate)*Dailies[Sales])}

  7. Frank Linssen says:

    If I would still be using the old Excel I would do it as follows:

    SUMIF($B$5:$B$95,"<="&H6,$C$5:$C$95)-SUMIF($B$5:$B$95,"<"&H5,$C$5:$C$95)

    Works as simple as it is.

    Regards

  8. ikkeman says:

    =sum(index(c:c,match(startdate,c:c,1)+1):index(c:c,match(enddate,c:c,1))

  9. ikkeman says:

    =sum(index(c:c,match(startdate,b:b,1)+1):index(c:c,match(enddate,b:b,1))

  10. ram says:

    Great examples and thanks to Chandoo. You have simplified my work.

  11. Rony says:

    Hi! great tips I have found in your page, have you seen this
    http://runakay.blogspot.com/2011/10/searching-in-multiple-excel-tabs.html

  12. [...] I'm not sure I understand your question fully, but have a look at this: Sum of Values Between 2 Dates [Excel Formulas] | Chandoo.org - Learn Microsoft Excel Online [...]

  13. Amanda says:

    Thank you! Thank you! Thank you!

  14. abdalurhman says:

    =SUMIF(A2:A11;">="&B13;B2:B11)-SUMIF(A2:A11;"<"&A11;B2:B11)

  15. Eliza says:

    awesome... thank yoo Chandoo!

  16. dockhem says:

    which is most efficient and fast, if all are efficient ?

  17. jmassiah says:

    Thank you for this formula, I've just spent ages trying to find something to work on my data, I knew it would be possible! Don't care if others think there are easier/other ways to do it, you explained it so I understood it and could apply it to what I was doing so I'm happy!

  18. Nagaraju says:

    The above said example is awesome for calculating values between dates,

    can you pls let know how to calculate sale values if we have 10 sales boys for
    ex: 1,rama
    2,krishna
    3,ashwin
    4,naga
    5,suresh

    how much rama sale value between 1/jan/2015 to 10/jun/15
    how much krishna sale value between 10/jan/2015 to 15/july/2015
    i think you understood can you pls let me know the formula for how to calculate the sale between diffrent sale man sale value from master data file

    Thanks,
    Nagaraju

  19. Viv says:

    Hi

    I have a list of people's names in column A, I have a list of dates in column B which records the dates they have been off sick, in column C I have either 1 if it is a full sick day or 0.5 if it is a half day.

    What I would like to do is to add up the number of dates a specific person has been off within two dates.

    For example, I want to look at my list of names and to find Joe Bloggs (column A), then add up all his sick days (column C). The start date will be in cell E1 and the end date will be in F1.

    If this possible using SUMIFS?

    List of names are in range A2:A100

    List of dates in B2:B100

    List of sick days (either 0.5 or 1 in C2:C100

    The start date is in cell E2

    The end date is in cell F2

    Your help would be greatly appreciated.

    • Loknathan says:

      Yes, with the help of SUMIFS you can have the solution.
      Note: you need have an extra col. D2 where you will input Name of the person.
      =SUMIFS(C2:C100,A2:A100,D2,C2:C100,">="&E2,C2:C100,"<"&F2)

      Col. A Col. B Col. C Col.D Col. E Col. F
      Name Date Sales
      ABC 28-Jun-11 1 MNO 28-Jun-11 25-Sep-11
      XYZ 29-Jun-11 0.5
      MNO 30-Jun-11 1
      PQR 1-Jul-11 1

      • Loknathan says:

        Typo ERROR / Correction in formula:
        Yes, with the help of SUMIFS you can have the solution.
        Note: you need have an extra col. D2 where you will input Name of the person.
        =SUMIFS(C2:C100,A2:A100,D2,B2:B100,">="&E2,B2:B100,"<"&F2)

  20. Viv says:

    Hi

    I have a list of people's names in column A, I have a list of dates in column B which records the dates they have been off sick, in column C I have either 1 if it is a full sick day or 0.5 if it is a half day.

    What I would like to do is to add up the number of dates a specific person has been off within two dates.

    For example, I want to look at my list of names and to find Joe Bloggs (column A), then add up all his sick days (column C). The start date will be in cell E1 and the end date will be in F1.

    If this possible using SUMIFS?

    List of names are in range A2:A100

    List of dates in B2:B100

    List of sick days (either 0.5 or 1 in C2:C100

    The start date is in cell E2

    The end date is in cell F2

    Your help would be greatly appreciated.

    Viv

  21. AC says:

    Thanks for this - it solved the problem that I was having. However can someone please explain to me why the "" needs to be around >= and <= as well as why we need to add & in order for the formula to work? Thanks in advance!

  22. Ufoo says:

    This formula works perfectly as well. Any ideas?: =SUM(INDEX(C5:C95,MATCH(H5,B5:B95,1)):INDEX(C5:C95,MATCH(H6,B5:B95,1)))

  23. Ufoo says:

    ikkeman had posted the same thing.

  24. murray says:

    I am trying to sum total a range of cells between date ranges ie column n has $ amounts column d has the transaction dates ie 1/3/2015 or 25/3/2015 or 25/4/2015 column b has the text saying drp or distribution - reinv

    In another cell I am trying to sum or total (in column n) with the value of a range of different dates (column d) that contain different text (column b) ie cell n48 is 50, n65 is 85, n165 is 36

    with the dates ie cell d48 is 1/3/2015, d65 is 25/3/2015 and d165 is 25/4/2015

    with different text that says drp or distribution - reinv ie cell b48 is drp, b65 is distribution - reinv, b165 is drp

    If I wanted to sum the amounts between 1/3/2015 to 31/3/2015 with drp then the total would be 50. Also if I wanted to sum the amounts between 1/4/2015 to 30/4/2015 with drp the sum total would be 36 If I wanted to sum the amounts between 1/3/2015 to 31/3/2015 with drp and distribution - reinv the sum would be 115

    What would the formula be for these different questions

    hope you can help, it has been driving me nuts and cant work it out

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