Sum Formula Needed

[kelly mort]

Hello All,
I wanna add six numbers in a column. There will be a maximum of nine numbers to choose what to add from. Before, I used the =Sum(Small(..... Function.

But now I want to add them by taking the first four numbers then look for the two smallest numbers from the remaining five numbers.

And here too, with the first four numbers, I am adding only those that are not zero or blank.

That's when one of the first four numbers is zero or blank then add the three left and add the next three smallest numbers from the five numbers left.

Look at what I have below here:
Numbers to add
2
5
8
1
4
4
6
5
7

So from the numbers , after choosing the first four, choose the two 4s since there are the two smallest numbers left. Then add them.


When some of the first four is blank or zero
Numbers to add
2

8
1
4
4
6
5
7

Since the second number is blank, choose the three left and then choose 4, 4, 5 from them and add to the other three.

I hope my expectations are clear enough.

Thanks for your attention
Kelly

 

[Marcelo Branco]

This?

	A​	B​
1​	Numbers​	Result​
2​	2​	24​
3​
4​	8​
5​	1​
6​	4​
7​	4​
8​	6​
9​	5​
10​	7​

Formula in B2
=SUM(A2:A5)+SUM(SMALL(A6:A10,{1;2;3}))

M.

 

[kelly mort]

Yes .

But I will want the part {1;2;3} to be dynamic. That's if I added 4 numbers from the first set, then this part in curly bracket takes only two . If I added 3 numbers from the first set then the curly bracket must have 3 and so on.

Thanks a lot
But I can use nested if functions to do it from here:
@Marcelo

 

[Marcelo Branco]

Maybe

=SUM(A$2:A$5)+SUMPRODUCT(SMALL(A$6:A$10,ROW(A$1:INDEX($A:$A,6-COUNT(A$2:A$5)))))

M.

 

[kelly mort]

Very sure!


Thanks for this wonderful formula. Can you explain it for me a little bit?
Kelly

 

[Marcelo Branco]

Hi Kelly

The function ROW(A1:A3), for example, generates a vertical array {1;2;3}.

Taking in account this, let's analyze this part
ROW(A$1:INDEX($A:$A,6-COUNT(A$2:A$5)))

COUNT(A$2:A$5) returns how many numbers there are in A2:A5
Subtracting from 6 we get how many numbers should be added from the range A6:A10, that is:
6-3 = 3
So ROW(...) becomes
ROW(A$1:INDEX($A:$A,3)) --> ROW(A$1:A$3) --> {1;2;3}

And, at last, we have
SUMPRODUCT(SMALL(A$6:A$10,{1;2;3}))
as desired

To see, step by step, what the formula does select B2 and try Formulas > Evaluate formula.

M.

 

[kelly mort]

Oh okay thank you a lot for the explanation. I am still learning each day.
Kelly

 

[kelly mort]

Why did you start the row from A1 but not A2?

I am a bit confused over there

Thanks again
Kelly


Ps:
Oh okay. I just found out why . For the vertical array. Oh nice . Thanks again

 

[Marcelo Branco]

Because we need an array {1;2;3} to get the smallest; 2nd smallest; 3rd smallest
ROW(A1:A3) has nothing to do with the location of your data, it's only a way to generate the array {1;2;3}
I could have used ROW(B1:B3) or ROW(Z1:Z3) for example.

M.

 

[kelly mort]

Thanks a lot @Marcelo