Count groups of repeated values per row
I have a worksheet that has rows, each containing sequential groupings of values of "1" and "0". These alternate across 1800 columns of data.
My question: how do I count the number of groupings of each? In other words, across those 1800 columns, how many arrays of value 1 and how many arrays of value 0 do I have?
Thanks.
Joe
Answer:
I am using a much smaller size to more easily show how the formulas work and what the functions used return.
There are 14 groups of value 0 (zero) per row in cell range B2:G8 and 12 groups of value 1. The image above shows 14 blue circles around each group of value 0 to demonstrate how the formula below works.
Regular formula in cell B11:
Array formula in cell C11:
This formula is different because Excel evaluates a blank cell as 0 (zero), this makes it impossible to use the same formula as in cell B11.
How to create an array formula
- Copy formula above.
- Select cell C11 with mouse.
- Paste formula (keyboard shortcut CTRL + v)
- Press and hold CTRL + SHIFT simultaneously.
- Press Enter once
- Release all keys.
Explaining array formula in cell C11
The formula in cell C11 is slightly more complicated than the formula in cell B11, they are however so similar that I will only explain the formula in cell C11.
Step 1 - Check if cell is blank
The ISBLANK function returns TRUE if the cell is blank and FALSE if not blank, no surprises here.
ISBLANK(A2:F8)
becomes
ISBLANK({0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1})
and returns
{TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE}.
Step 2 - If blank return a blank
The IF function returns a blank if the logical expression ISBLANK(A2:F8) returns TRUE and returns the number itself if FALSE.
IF(ISBLANK(A2:F8),"",A2:F8)
becomes
IF({TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE},"",A2:F8)
becomes
IF({TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE}, "", {0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1})
and returns
{"",1,1,1,1,0;"",0,1,0,0,1;"",0,1,0,0,0;"",0,1,1,0,1;"",0,0,0,1,0;"",0,1,0,0,1;"",1,1,1,1,1}
These two steps are necessary due to Excel not being able to compare a 0 (zero) with an empty cell. Excel evaluates an empty cell as 0 (zero).
Step 3 - Compare arrays
This step compares values in order to identify groups of repeated values.
(B2:G8<>IF(ISBLANK(A2:F8),"",A2:F8))
becomes
(B2:G8<>{"",1,1,1,1,0;"",0,1,0,0,1;"",0,1,0,0,0;"",0,1,1,0,1;"",0,0,0,1,0;"",0,1,0,0,1;"",1,1,1,1,1})
becomes
({0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1}<>{"",1,1,1,1,0;"",0,1,0,0,1;"",0,1,0,0,0;"",0,1,1,0,1;"",0,0,0,1,0;"",0,1,0,0,1;"",1,1,1,1,1})
and returns
{TRUE, FALSE, FALSE, FALSE, TRUE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, FALSE, TRUE; TRUE, TRUE, FALSE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, FALSE, FALSE, FALSE, FALSE, TRUE}
Step 4 - Check if cell is 0 (zero)
This step filters groups of zeros, we don't want to count 1's.
B2:G8=0
becomes
{0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1}=0
and returns
{FALSE, FALSE, FALSE, FALSE, TRUE, TRUE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; TRUE, FALSE, TRUE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, FALSE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, FALSE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; FALSE, FALSE, FALSE, FALSE, FALSE, TRUE}
Step 5 - Multiply arrays
(B2:G8<>IF(ISBLANK(A2:F8),"",A2:F8))*(B2:G8=0)
becomes
{TRUE, FALSE, FALSE, FALSE, TRUE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, FALSE, TRUE; TRUE, TRUE, FALSE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, FALSE, FALSE, FALSE, FALSE, TRUE}*{FALSE, FALSE, FALSE, FALSE, TRUE, TRUE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; TRUE, FALSE, TRUE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, FALSE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, FALSE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; FALSE, FALSE, FALSE, FALSE, FALSE, TRUE}
and returns
{0, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 1, 0, 1, 0, 0, 0; 1, 0, 0, 1, 0, 0; 1, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 0, 0, 0, 0, 0, 1}.
Step 6 - Sum values
The SUM function adds the numbers in the array and returns a total.
SUM((B2:G8<>IF(ISBLANK(A2:F8),"",A2:F8))*(B2:G8=0))
becomes
SUM({0, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 1, 0, 1, 0, 0, 0; 1, 0, 0, 1, 0, 0; 1, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 0, 0, 0, 0, 0, 1})
and returns 14 in cell C11.
Weekly Blog EMAIL
Welcome! I am Oscar and here to help you out.Feel free to comment and ask Excel questions.
Make sure you subscribe to my newsletter so you don't miss new blog articles.
Related articles
Count unique distinct values that meet multiple criteria
This post demonstrates how to build an array formula that counts unique distinct values based on criteria. What's on this […]
Count Conditionally Formatted cells
This article explains how to count cells highlighted with Conditional Formatting (CF). The image above shows data in cell range […]
This article describes how to count unique distinct values. What are unique distinct values? They are all values but duplicates are […]
Count cells between specified values
This article demonstrates formulas that calculate the number of cells between two values, the first scenario involves two search values […]
Count unique distinct values in two columns
Formula in C12: =SUM(1/COUNTIF($B$3:$B$8, $B$3:$B$8))+SUM(IF(COUNTIF($B$3:$B$8, $D$3:$D$8)=0, 1/COUNTIF($D$3:$D$8, $D$3:$D$8), 0)) How to create an array formula Double click on cell C12 […]
Count unique distinct values in a filtered Excel defined Table
This article demonstrates a formula that counts unique distinct values filtered from an Excel defined Table. Debra Dalgleish described in […]
Count unique distinct values within same week, month or year
The array formula in cell E3 counts unique distinct items for all dates within the same week. Example, week 2 […]
How to count unique distinct values based on a date
The array formula in cell D3 calculates the number of unique distinct items based on the given date in column B. […]
Count overlapping days in multiple date ranges
The MEDIAN function lets you count overlapping dates between two date ranges. If you have more than two date ranges […]
Count overlapping days across multiple date ranges
This post demonstrates a formula in cell D16 that counts overlapping dates across multiple date ranges. The date ranges are […]
One Response to “Count groups of repeated values per row”
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.
That works!! Great Stuff!
Thanks Oscar!