## Sum unique numbers

#### Table of Contents

## 1. Sum unique numbers

The formula in cell D3 adds all unique numbers in cell range B3:B12 and returns the total. Unique values are all values occurring only once in the list.

Formula in cell D3:

Excel 365 formula:

### Explaining formula in cell D3

#### Step 1 - Count occurrence of each value in cell range

The COUNTIF function is an extremely useful function, this time I am counting how many times each value shows up in the cell range.

COUNTIF(B3:B12,B3:B12)

becomes

COUNTIF({40; 10; 80; 40; 60; 90; 40; 20; 20; 60},{40; 10; 80; 40; 60; 90; 40; 20; 20; 60})

and returns

{3;1;1;3;2;1;3;2;2;2}

#### Step 2 - Check if value is unique

The equal sign checks if number is equal to 1.

COUNTIF(B3:B12,B3:B12)=1

becomes

{3;1;1;3;2;1;3;2;2;2}=1

and returns

{FALSE; TRUE; TRUE; FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; FALSE}

#### Step 3 - Multiply with cell range

The boolean values in the array show which numbers to include in sum. FALSE is the same as 0 (zero) and TRUE is equivalebt to 1. The parentheses make sure that the comparison is calculated before multiplying.

(COUNTIF(B3:B12,B3:B12)=1)*B3:B12

becomes

{FALSE; TRUE; TRUE; FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; FALSE}*B3:B12

becomes

{FALSE; TRUE; TRUE; FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; FALSE}*{3;1;1;3;2;1;3;2;2;2}

and returns

{0;10;80;0;0;90;0;0;0;0}

#### Step 4 - Sum numbers

The SUMPRODUCT function now simply adds the numbers and returns the total.

SUMPRODUCT((COUNTIF(B3:B12,B3:B12)=1)*B3:B12)

becomes

SUMPRODUCT({0;10;80;0;0;90;0;0;0;0})

and returns 180 in cell D3.

Why use the SUMPRODUCT function and not the SUM function? You don't need to enter this formula as an array formula if you use the SUMPRODUCT function.

### Get Excel *.xlsx file

## 2. Sum unique distinct numbers

The image above shows numbers in column B, some of these numbers are duplicates. The formula in D12 adds unique distinct numbers meaning the first instance of each number is added to the total, however, the duplicates are ignored.

Excel 365 dynamic array formula:

### Explaining formula in cell D12

If you want to examine the formula yourself then go to tab "Formula" on the ribbon and then press with left mouse button on "Evaluate Formula" button.

This will show the calculation steps, one at a time. Simply press with left mouse button on the Evaluate button to move to next calculation step.

#### Step 1 - Count each value in cell range

The COUNTIF function counts each value in the cell range and returns an array of numbers which shows the number of instances each value has.

COUNTIF(B3:B15,B3:B15)

becomes

COUNTIF({9;8;7;1;2;6;3;1;7;2;8;2;6},{9;8;7;1;2;6;3;1;7;2;8;2;6})

and returns

{1;2;2;2;3;2;1;2;2;3;2;3;2}.

#### Step 2 - Divide 1 with array

If a number has a duplicate then there are two instances of that value. Divide 1 with 2 and we get 0.5, now multiply that value with the number and we get the number to add to the total.

1/COUNTIF(B3:B15,B3:B15)

becomes

1/{1;2;2;2;3;2;1;2;2;3;2;3;2}

and returns

{1;0.5;0.5;0.5;0.333333333333333;0.5;1;0.5;0.5;0.333333333333333;0.5;0.333333333333333;0.5}

#### Step 3 - Multiply with numbers

The parentheses make sure that the order of calculation is correct.

(1/COUNTIF(B3:B15,B3:B15))*B3:B15

becomes

{1;0.5;0.5;0.5;0.333333333333333;0.5;1;0.5;0.5;0.333333333333333;0.5;0.333333333333333;0.5}*B3:B15

and returns

{9;4;3.5;0.5;0.666666666666667;3;3;0.5;3.5;0.666666666666667;4;0.666666666666667;3}

#### Step 4 - Add numbers

The SUMPRODUCT function is a better option than the SUM function, we don't need to enter the formula as an array formula now.

SUMPRODUCT((1/COUNTIF(B3:B15,B3:B15))*B3:B15)

becomes

SUMPRODUCT({9;4;3.5;0.5;0.666666666666667;3;3;0.5;3.5;0.666666666666667;4;0.666666666666667;3})

and returns 36 in cell D12.

### Get Excel *.xlsx file

Sum unique distinct numbers.xlsx

## 3. Sum number based on the corresponding unique value

The formula in cell E14 adds a number from column C if the corresponding value in column B is unique and returns the total for all unique values. Unique values are values that exist only once in the list, in other words, there is only one instance of the value.

Formula in cell E14:

### Explaining formula in cell E14

#### Step 1 - Count values in column B

The COUNTIF function counts values based on a condition, I am using multiple conditions, in this case.

COUNTIF($B$3:$B$12,$B$3:$B$12)

becomes

COUNTIF({"AA";"BB";"CC";"BB";"AA";"DD";"FF";"EE";"DD";"VV"}, {"AA";"BB";"CC";"BB";"AA";"DD";"FF";"EE";"DD";"VV"})

and returns

{2;2;1;2;2;2;1;1;2;1}

#### Step 2 - Check if unique

The equal sign compares each value in the array to 1 and returns either TRUE or FALSE.

COUNTIF($B$3:$B$12,$B$3:$B$12)=1

becomes

{2;2;1;2;2;2;1;1;2;1}=1

and returns

{FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; FALSE; TRUE}

#### Step 3 - Multiply with numbers in column C

(COUNTIF($B$3:$B$12,$B$3:$B$12)=1)*$C$3:$C$12

becomes

{FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; FALSE; TRUE}*$C$3:$C$12

becomes

{FALSE; FALSE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; FALSE; TRUE}*{2;5;3;6;1;8;7;9;3;5}

and returns

{0;0;3;0;0;0;7;9;0;5}

#### Step 4 - SUM numbers

The SUMPRODUCT function then adds the numbers and returns the total to cell E14.

SUMPRODUCT((COUNTIF($B$3:$B$12,$B$3:$B$12)=1)*$C$3:$C$12)

becomes

SUMPRODUCT({0;0;3;0;0;0;7;9;0;5})

and returns

24 in cell E14.

### Get Excel *.xlsx file

### Sum category

In this post, I will provide a formula to sum values in column (Qty) where a column (Date) meets two […]

The image above demonstrates a formula that calculates tiered values based on a tier table and returns a total. This […]

Andrew asks: LOVE this example, my issue/need is, I need to add the results. So instead of States and Names, […]

This article demonstrates how to find empty cells and populate them automatically with a formula that adds numbers above and […]

Katie asks: I have 57 sheets many of which are linked together by formulas, I need to get numbers from […]

Question: It's easy to sum a list by multiple criteria, you just use array formula a la: =SUM((column_plane=TRUE)*(column_countries="USA")*(column_producer="Boeing")*(column_to_sum)) But all […]

This article explains how to build an array formula that sums numerical ranges. Example, I want to know how to […]

The image above shows numbers in column B, some of these numbers are duplicates. The formula in D12 adds unique […]

To extract groups from cell range B3:B10 I use the following regular formula in cell B13.

The formula in cell C15 uses two dates two to filter and then sum values in column C, the SUMIFS […]

This article demonstrates a formula that calculates a running total. A running total is a sum that adds new numbers […]

The SUBTOTAL function lets you sum values in a cell range that have some rows hidden or filtered, the picture […]

The easiest way to sum a cell range is to simply select the cell range and read the values in […]

This article explains why your formula is not working properly, there are usually four different things that can go wrong. […]

## Functions in this article

More than 1300 Excel formulas

## Excel formula categories

## Excel categories

### 5 Responses to “Sum unique numbers”

### Leave a Reply

### How to comment

**How to add a formula to your comment**

<code>Insert your formula here.</code>

**Convert less than and larger than signs**

Use html character entities instead of less than and larger than signs.

< becomes < and > becomes >

**How to add VBA code to your comment**

[vb 1="vbnet" language=","]

Put your VBA code here.

[/vb]

**How to add a picture to your comment:**

Upload picture to postimage.org or imgur

Paste image link to your comment.

**Contact Oscar**

You can contact me through this contact form

I have given up trying to figure out the following problem as it seems over my head, and am

hoping there is a kind soul out there can help me out with the solution.

I am trying to setup a spreadsheet to make calculations which are then exported to Quickbooks.

The original data is returned to Excel from an Access database by msq. Each record relates to an order number and is tied to a

product, and there may be more than entry for each order number as an order may have more than one product.

The actual data import sheet looks something like this:

OrderNumber ItemNumber Date Product PricePerUnit CostPerUnit

4967 1 10-May-10 widget 430.92 306.00

4967 2 10-May-10 doohickey 256.33 165.00

4968 1 11-May-10 doohickey 256.33 165.00

The actual data export sheet looks something like this:

Date Name Account Account Type MEMO Split Account Amount

10-May-10 vendor1 Bank Credit Card 4967 Cost of Goods Sold -306.00

10-May-10 vendor1 Bank Credit Card 4967 Cost of Goods Sold -165.00

11-May-10 vendor2 Bank Credit Card 4968 Cost of Goods Sold -165.00

My problem is that I cannot figure out how to return the total only, and not individual amounts, for orders

with more than 1 item. I.E., how can I tell excel to return each OrderNumber only once, along with

the total for each, like this:

Date Name Account Account Type MEMO Split Account Amount

10-May-10 vendor1 Bank Credit Card 4967 Cost of Goods Sold -471.00

11-May-10 vendor2 Bank Credit Card 4968 Cost of Goods Sold -165.00

There is a little more to this, as I am also trying to include shipping costs, but I Am still trying to

figure out how to return the data using msq, which I am finding a little quirky to use at all, but I have

managed to at least get it to work on a basic level.

Anyhow, is there anyone there who can help? I would be very grateful and much obliged.

Thanks in advance.

AJ

AJ,

see this post: https://www.get-digital-help.com/2010/05/22/how-to-return-the-total-for-orders-with-more-than-one-item-in-excel/

Hi!

Let me say "Thanks" to you because you saved me, my next degree and my huge worksheet!

After countless hours looking for a feasible solution, I finally got here. May you be praised! :)

alemar,

Thanks!

How to calculate sum of unique values if the data is in another worksheet.

I get zero as the answer.

Any solutions pls