Explain SUMPRODUCT formula function

G

gshaffner

New Member
Joined
Apr 27, 2017
Messages
11
The table below is an analysis of tasks and the variances between actuals and standard. My original intent was to rank equally column G variances. As they are both negative and positive I cannot just use the RANK function in Excel. I found a formula using SUMPRODUCT, which worked, but I do not completely understand how it works. A coworker modified the original formula in column I and the result is in column J. How is it that both fornulas work? Can someone breakdown what the SUMPRODUCT formula in column I is actually doing? I don't want to use a formula that I do not understand how it works.

Many thanks for any help.

Formula in column I:
=SUMPRODUCT((ABS(G3)<=ABS($G$3:$G$17))*($G$3:$G$17<>""))-SUMPRODUCT((ABS(G3)=ABS($G$3:$G$17))*($G$3:$G$17<>""))+1

Formula in column J:
=SUMPRODUCT((ABS(G3)<=ABS($G$3:$G$17))*($G$3:$G$17<>""))


<tbody>
[TD="class: xl49145"]

<colgroup><col style="mso-width-source:userset;mso-width-alt:768;width:16pt" width="21"> <col style="mso-width-source:userset;mso-width-alt:4937;width:101pt" width="135"> <col style="mso-width-source:userset;mso-width-alt:2048; width:42pt" width="56" span="3"> <col style="mso-width-source:userset;mso-width-alt:2267;width:47pt" width="62"> <col style="mso-width-source:userset;mso-width-alt:3474;width:71pt" width="95"> <col style="width:48pt" width="64"> <col style="mso-width-source:userset;mso-width-alt:2852;width:59pt" width="78"> <col style="mso-width-source:userset;mso-width-alt:2560; width:53pt" width="70" span="2"> </colgroup><tbody>
[TD="class: xl49160, width: 21, align: right"]1[/TD]
[TD="class: xl49161, width: 135"]A[/TD]
[TD="class: xl49161, width: 56"]B[/TD]
[TD="class: xl49161, width: 56"]C[/TD]
[TD="class: xl49161, width: 56"]D[/TD]
[TD="class: xl49161, width: 62"]E[/TD]
[TD="class: xl49161, width: 95"]F[/TD]
[TD="class: xl49161, width: 64"]G[/TD]
[TD="class: xl49161, width: 78"]H[/TD]
[TD="class: xl49161, width: 70"]I[/TD]
[TD="class: xl49162, width: 70"]J[/TD]

[TD="class: xl49163, align: right"]2[/TD]
[TD="class: xl49147"] [/TD]
[TD="class: xl49148"]Actuals[/TD]
[TD="class: xl49148"]Inspect[/TD]
[TD="class: xl49148"]Move[/TD]
[TD="class: xl49148"]Function[/TD]
[TD="class: xl49148"]Standard[/TD]
[TD="class: xl49148"]Variance[/TD]
[TD="class: xl49148"]Variance %[/TD]
[TD="class: xl49149"]Ranking 1[/TD]
[TD="class: xl49150"]Ranking 2[/TD]

[TD="class: xl49163, align: right"]3[/TD]
[TD="class: xl49151"]Task 1[/TD]
[TD="class: xl49142"] 18.4 [/TD]
[TD="class: xl49142"] 5.0 [/TD]
[TD="class: xl49142"] 10.0 [/TD]
[TD="class: xl49142"] 5.4 [/TD]
[TD="class: xl49142"] 20.4 [/TD]
[TD="class: xl49143"] 2.0 [/TD]
[TD="class: xl49144, align: right"]-9.8%[/TD]
[TD="class: xl49143"] 11.0 [/TD]
[TD="class: xl49152, align: right"]11[/TD]

[TD="class: xl49163, align: right"]4[/TD]
[TD="class: xl49151"]Task 2[/TD]
[TD="class: xl49142"] 26.2 [/TD]
[TD="class: xl49142"] 17.7 [/TD]
[TD="class: xl49142"] 2.7 [/TD]
[TD="class: xl49142"] 40.0 [/TD]
[TD="class: xl49142"] 60.4 [/TD]
[TD="class: xl49143"] 34.2 [/TD]
[TD="class: xl49144, align: right"]-56.6%[/TD]
[TD="class: xl49143"] 6.0 [/TD]
[TD="class: xl49152, align: right"]6[/TD]

[TD="class: xl49163, align: right"]5[/TD]
[TD="class: xl49151"]Task 3[/TD]
[TD="class: xl49142"] 32.1 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] 7.5 [/TD]
[TD="class: xl49142"] 23.9 [/TD]
[TD="class: xl49142"] 31.4 [/TD]
[TD="class: xl49143"] (0.7)[/TD]
[TD="class: xl49144, align: right"]2.3%[/TD]
[TD="class: xl49143"] 15.0 [/TD]
[TD="class: xl49152, align: right"]15[/TD]

[TD="class: xl49163, align: right"]6[/TD]
[TD="class: xl49151"]Task 4[/TD]
[TD="class: xl49142"] 35.8 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] 5.0 [/TD]
[TD="class: xl49142"] 32.6 [/TD]
[TD="class: xl49142"] 37.6 [/TD]
[TD="class: xl49143"] 1.8 [/TD]
[TD="class: xl49144, align: right"]-4.9%[/TD]
[TD="class: xl49143"] 14.0 [/TD]
[TD="class: xl49152, align: right"]14[/TD]

[TD="class: xl49163, align: right"]7[/TD]
[TD="class: xl49151"]Task 5[/TD]
[TD="class: xl49142"] 17.6 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] 5.0 [/TD]
[TD="class: xl49142"] 7.5 [/TD]
[TD="class: xl49142"] 12.5 [/TD]
[TD="class: xl49143"] (5.1)[/TD]
[TD="class: xl49144, align: right"]40.5%[/TD]
[TD="class: xl49143"] 9.0 [/TD]
[TD="class: xl49152, align: right"]9[/TD]

[TD="class: xl49163, align: right"]8[/TD]
[TD="class: xl49151"]Task 6[/TD]
[TD="class: xl49142"] 63.2 [/TD]
[TD="class: xl49142"] 1.4 [/TD]
[TD="class: xl49142"] 8.3 [/TD]
[TD="class: xl49142"] 94.9 [/TD]
[TD="class: xl49142"] 104.6 [/TD]
[TD="class: xl49143"] 41.4 [/TD]
[TD="class: xl49144, align: right"]-39.6%[/TD]
[TD="class: xl49143"] 4.0 [/TD]
[TD="class: xl49152, align: right"]4[/TD]

[TD="class: xl49163, align: right"]9[/TD]
[TD="class: xl49151"]Task 7[/TD]
[TD="class: xl49142"] 117.2 [/TD]
[TD="class: xl49142"] 6.8 [/TD]
[TD="class: xl49142"] 8.7 [/TD]
[TD="class: xl49142"] 167.3 [/TD]
[TD="class: xl49142"] 182.8 [/TD]
[TD="class: xl49143"] 65.6 [/TD]
[TD="class: xl49144, align: right"]-35.9%[/TD]
[TD="class: xl49143"] 2.0 [/TD]
[TD="class: xl49152, align: right"]2[/TD]

[TD="class: xl49163, align: right"]10[/TD]
[TD="class: xl49151"]Task 8[/TD]
[TD="class: xl49142"] 34.2 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] - [/TD]
[TD="class: xl49143"] (34.2)[/TD]
[TD="class: xl49144, align: right"]0.0%[/TD]
[TD="class: xl49143"] 5.0 [/TD]
[TD="class: xl49152, align: right"]5[/TD]

[TD="class: xl49163, align: right"]11[/TD]
[TD="class: xl49151"]Task 9[/TD]
[TD="class: xl49142"] 36.1 [/TD]
[TD="class: xl49142"] 0.5 [/TD]
[TD="class: xl49142"] 3.8 [/TD]
[TD="class: xl49142"] 27.5 [/TD]
[TD="class: xl49142"] 31.8 [/TD]
[TD="class: xl49143"] (4.3)[/TD]
[TD="class: xl49144, align: right"]13.5%[/TD]
[TD="class: xl49143"] 10.0 [/TD]
[TD="class: xl49152, align: right"]10[/TD]

[TD="class: xl49163, align: right"]12[/TD]
[TD="class: xl49151"]Task 10[/TD]
[TD="class: xl49142"] 35.1 [/TD]
[TD="class: xl49142"] 3.5 [/TD]
[TD="class: xl49142"] 3.3 [/TD]
[TD="class: xl49142"] 26.4 [/TD]
[TD="class: xl49142"] 33.2 [/TD]
[TD="class: xl49143"] (1.9)[/TD]
[TD="class: xl49144, align: right"]5.8%[/TD]
[TD="class: xl49143"] 12.0 [/TD]
[TD="class: xl49152, align: right"]12[/TD]

[TD="class: xl49163, align: right"]13[/TD]
[TD="class: xl49151"]Task 11[/TD]
[TD="class: xl49142"] 91.3 [/TD]
[TD="class: xl49142"] 14.0 [/TD]
[TD="class: xl49142"] 2.2 [/TD]
[TD="class: xl49142"] 9.0 [/TD]
[TD="class: xl49142"] 25.2 [/TD]
[TD="class: xl49143"] (66.1)[/TD]
[TD="class: xl49144, align: right"]262.3%[/TD]
[TD="class: xl49143"] 1.0 [/TD]
[TD="class: xl49152, align: right"]1[/TD]

[TD="class: xl49163, align: right"]14[/TD]
[TD="class: xl49151"]Task 12[/TD]
[TD="class: xl49142"] 73.1 [/TD]
[TD="class: xl49142"] 6.5 [/TD]
[TD="class: xl49142"] 4.1 [/TD]
[TD="class: xl49142"] 60.6 [/TD]
[TD="class: xl49142"] 71.2 [/TD]
[TD="class: xl49143"] (1.9)[/TD]
[TD="class: xl49144, align: right"]2.7%[/TD]
[TD="class: xl49143"] 13.0 [/TD]
[TD="class: xl49152, align: right"]13[/TD]

[TD="class: xl49163, align: right"]15[/TD]
[TD="class: xl49151"]Task 13[/TD]
[TD="class: xl49142"] 40.1 [/TD]
[TD="class: xl49142"] 3.1 [/TD]
[TD="class: xl49142"] 20.3 [/TD]
[TD="class: xl49142"] 11.1 [/TD]
[TD="class: xl49142"] 34.5 [/TD]
[TD="class: xl49143"] (5.6)[/TD]
[TD="class: xl49144, align: right"]16.2%[/TD]
[TD="class: xl49143"] 8.0 [/TD]
[TD="class: xl49152, align: right"]8[/TD]

[TD="class: xl49163, align: right"]16[/TD]
[TD="class: xl49151"]Task 14[/TD]
[TD="class: xl49142"] 87.7 [/TD]
[TD="class: xl49142"] 19.4 [/TD]
[TD="class: xl49142"] 3.5 [/TD]
[TD="class: xl49142"] 77.0 [/TD]
[TD="class: xl49142"] 99.9 [/TD]
[TD="class: xl49143"] 12.2 [/TD]
[TD="class: xl49144, align: right"]-12.2%[/TD]
[TD="class: xl49143"] 7.0 [/TD]
[TD="class: xl49152, align: right"]7[/TD]

[TD="class: xl49163, align: right"]17[/TD]
[TD="class: xl49151"]Task 15[/TD]
[TD="class: xl49142"] 88.9 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] 18.0 [/TD]
[TD="class: xl49142"] 126.9 [/TD]
[TD="class: xl49142"] 144.9 [/TD]
[TD="class: xl49143"] 56.0 [/TD]
[TD="class: xl49144, align: right"]-38.7%[/TD]
[TD="class: xl49143"] 3.0 [/TD]
[TD="class: xl49152, align: right"]3[/TD]

[TD="class: xl49163, align: right"]18[/TD]
[TD="class: xl49153"]SUBTOTAL[/TD]
[TD="class: xl49139"] 797.0 [/TD]
[TD="class: xl49139"] 77.9 [/TD]
[TD="class: xl49139"] 102.4 [/TD]
[TD="class: xl49139"] 710.1 [/TD]
[TD="class: xl49139"] 890.4 [/TD]
[TD="class: xl49140"] 93.4 [/TD]
[TD="class: xl49141"]-10.5%[/TD]
[TD="class: xl49146"][/TD]
[TD="class: xl49152"] [/TD]

[TD="class: xl49163, align: right"]19[/TD]
[TD="class: xl49151"]Task 16[/TD]
[TD="class: xl49142"] 67.5 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] 23.0 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] 23.0 [/TD]
[TD="class: xl49143"] (44.5)[/TD]
[TD="class: xl49144, align: right"]193.6%[/TD]
[TD="class: xl49146"][/TD]
[TD="class: xl49152"] [/TD]

[TD="class: xl49163, align: right"]20[/TD]
[TD="class: xl49151"]Task 17[/TD]
[TD="class: xl49142"] 98.0 [/TD]
[TD="class: xl49142"] 63.2 [/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"][/TD]
[TD="class: xl49142"] 63.2 [/TD]
[TD="class: xl49143"] (34.8)[/TD]
[TD="class: xl49144, align: right"]55.0%[/TD]
[TD="class: xl49146"][/TD]
[TD="class: xl49152"] [/TD]

[TD="class: xl49163, align: right"]21[/TD]
[TD="class: xl49151"]Task 18[/TD]
[TD="class: xl49142"] - [/TD]
[TD="class: xl49142"] 63.1 [/TD]
[TD="class: xl49145"][/TD]
[TD="class: xl49145"][/TD]
[TD="class: xl49142"] 63.1 [/TD]
[TD="class: xl49143"] 63.1 [/TD]
[TD="class: xl49144, align: right"]-100.0%[/TD]
[TD="class: xl49146"][/TD]
[TD="class: xl49152"] [/TD]

[TD="class: xl49163, align: right"]22[/TD]
[TD="class: xl49153"]Subtotal[/TD]
[TD="class: xl49139"] 165.5 [/TD]
[TD="class: xl49139"] 126.3 [/TD]
[TD="class: xl49139"] 23.0 [/TD]
[TD="class: xl49139"] - [/TD]
[TD="class: xl49139"] 149.3 [/TD]
[TD="class: xl49140"] (16.2)[/TD]
[TD="class: xl49141"]10.8%[/TD]
[TD="class: xl49146"][/TD]
[TD="class: xl49152"] [/TD]

[TD="class: xl49164, align: right"]23[/TD]
[TD="class: xl49154"]TOTAL [/TD]
[TD="class: xl49155"] 962.5 [/TD]
[TD="class: xl49155"] 204.2 [/TD]
[TD="class: xl49155"] 125.4 [/TD]
[TD="class: xl49155"] 710.1 [/TD]
[TD="class: xl49155"] 1,039.7 [/TD]
[TD="class: xl49156"] 77.2 [/TD]
[TD="class: xl49157"]-7.4%[/TD]
[TD="class: xl49158"] [/TD]
[TD="class: xl49159"] [/TD]

</tbody>
[/TD]
[TD="class: xl49146"][/TD]
[TD="class: xl49146, width: 56"][/TD]
[TD="class: xl49146, width: 56"][/TD]
[TD="class: xl49146, width: 62"][/TD]
[TD="class: xl49146, width: 95"][/TD]
[TD="class: xl49146, width: 64"][/TD]
[TD="class: xl49146, width: 78"][/TD]
[TD="class: xl49147, width: 70"][/TD]
[TD="class: xl49148, width: 70"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49149"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49140"][/TD]
[TD="class: xl49141"][/TD]
[TD="class: xl49142, align: right"][/TD]
[TD="align: right"][/TD]
[TD="class: xl49150, align: right"][/TD]

[TD="class: xl49151"][/TD]
[TD="class: xl49137"][/TD]
[TD="class: xl49137"][/TD]
[TD="class: xl49137"][/TD]
[TD="class: xl49137"][/TD]
[TD="class: xl49137"][/TD]
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Last edited:

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You basically have 3 copies of the same sumproduct function there.
The only difference is 2 of them use
ABS(G3)<=ABS($G$3:$G$17)
And one uses
ABS(G3)=ABS($G$3:$G$17)

The one in I looks complicated, but it's really just
Sumproduct1 minus Sumproduct2 + 1

So I'm really only going to address a single sumproduct function
And I'm going to change it to just 3 rows instead of 15, just for sake of ease.
So lets take this
=SUMPRODUCT((ABS(G3)<=ABS($G$3:$G$5))*($G$3:$G$5<>""))

ABS removes the sign from a number, so a negative becomes a positive..
G3 = 2, so ABS(G3) = 2 (if it was G5, -0.7 would become 0.7)
=SUMPRODUCT((2<=ABS($G$3:$G$17))*($G$3:$G$17<>""))
G4 and G5 = 34.2 and -0.7
=SUMPRODUCT((2<=ABS({2,34.2,-0.7}))*({2,34.2,-0.7}<>""))
ABS converts negatives to positives
=SUMPRODUCT((2<={2,34.2,0.7})*({2,34.2,-0.7}<>""))

Now you have 2 arrays of criteria expressions with True or False results.
is 2 <= {2, 34.2, 0.7}
and
is{2, 34.2, 0.7} Not Blank

=SUMPRODUCT({TRUE,FALSE,TRUE}*{TRUE,TRUE,TRUE})

Now those 2 arrays are multiplied against each other.
When applying math operations (like * - + or /), then TRUE = 1 and FALSE = 0
=SUMPRODUCT({1,0,1}*{1,1,1})
1*1 = 1
0*1 = 0
1*1 = 1
=SUMPRODUCT({1,0,1})
The array is then summed,
1+0+1 = 2


Hope that helps.
 
Last edited:
Upvote 0
I think

=SUMPRODUCT({TRUE,FALSE,TRUE}*{TRUE,TRUE,TRUE})

evaluates to

SUMPRODUCT({1,0,1})

without first getting TRUE to 1, etc. then multiplying pairwise.
 
Upvote 0
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