Author: Oscar Cronquist Article last updated on November 06, 2018

Question: How do I sort a range alphabetically using excel array formula? Cell range \$B\$2:\$E\$5 contains text values in random order, the formula in cell B8 extracts values sorted from A to Z.

Array formula in B8:

=INDEX(\$B\$2:\$E\$5, MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)), MATCH(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8)), COUNTIF(\$B\$2:\$E\$5, "<"&INDEX(\$B\$2:\$E\$5, MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)), , 1)), 0))

Filter unique distinct values sorted from A to Z with no blanks from a multi-column and multi-row cell range:

Extract a unique distinct list sorted alphabetically and ignore blanks from a range

This is an answer to a question in this blog post: Extract a unique distinct list sorted from A-Z from […]

#### How to enter an array formula

1. Double click on cell B8
2. Copy an paste above formula
3. Press and hold CTRL + SHIFT simultaneously
4. Press Enter once

Learn how to filter unique distinct values from a multi-column and multi-row cell range:

Extract unique distinct values from a multi-column cell range

Question: I have cell values spanning over several columns and I want to create a unique list from that range. […]

#### How to implement array formula to your workbook

If your list starts at, for example, F2. Change \$B\$8:B8  in the above formula to F2:\$F\$2.

The following article demonstrates how to filter a unique distinct list sorted from A to Z, from a multi-column and multi-row cell range:

Extract a unique distinct list sorted from A-Z from range

The image above shows an array formula in cell B8 that extracts unique distinct values sorted alphabetically from cell range […]

#### How to copy array formula

Copy cell B8 and paste to cells below.

How to filter duplicate values from a multi-column and multi-row cell range:

Extract duplicates from a range

The following array formula in cell B11 extracts duplicates from cell range B3:E8, only one instance of each duplicate is […]

### Explaining formula in cell B8

#### Step 1 - Rank values based on their relative position if they were sorted

The COUNTIF function counts cells based on a condition, however, in this case, I am using a cell range instead of a single cell in the second argument.

Also, the ampersand & concatenates each value with a less than sign. This makes the COUNTIF function compare each value against the others, the number returned represents the corresponding values position if the list were sorted.

COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5)

returns {1, 10, 13, 8; 6, 15, 0, 11; 12, 7, 9, 3; 14, 4, 5, 1}. The image above shows the array in cell range B7:E10, "Apple" is 0 (zero) which is the first position if the list were sorted.

#### Step 2 - Extract the k-th smallest value in array

The SMALL function lets you get the k-th smallest value from a cell range or array.

SMALL(array, k)

SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8))

The ROWS function allows you to keep track of the number of cells, the cell reference is expanding as we copy the formula and paste to cells below.

SMALL({1, 10, 13, 8; 6, 15, 0, 11; 12, 7, 9, 3; 14, 4, 5, 1}, ROWS(\$B\$8:B8))

becomes

SMALL({1, 10, 13, 8; 6, 15, 0, 11; 12, 7, 9, 3; 14, 4, 5, 1}, 1) and returns 0 (zero).

#### Step 3 - Compare value to array

The logical expression in the following IF function determines if the value of the position corresponding to the k-th smallest value will be a row number or FALSE.

IF(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)

becomes

IF(0=COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)

becomes

IF(0={1, 10, 13, 8; 6, 15, 0, 11; 12, 7, 9, 3; 14, 4, 5, 1}, ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)

becomes

IF({FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, TRUE, FALSE;FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, FALSE, FALSE}, ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)

becomes

IF({FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, TRUE, FALSE;FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, FALSE, FALSE}, {1;2;3;4})

and returns {FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, 2, FALSE;FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, FALSE, FALSE}. #### Step 4 - Extract the smallest number from array

The MIN function ignores boolean values TRUE and FALSE.

MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1))

becomes

MIN({FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, 2, FALSE;FALSE, FALSE, FALSE, FALSE;FALSE, FALSE, FALSE, FALSE})

and returns 2. We now know that the first value to be extracted is located on row 2 relative to cell range \$B\$2:\$E\$5.

#### Step 5 - Find column

In this case, the MATCH function returns the relative position horizontally of the value we are looking for.

MATCH(SMALL(COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROWS(\$B\$8:B8)),COUNTIF(\$B\$2:\$E\$5,"<"&INDEX(\$B\$2:\$E\$5,MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)),,1)),0)

becomes

MATCH(SMALL({1, 10, 13, 8; 6, 15, 0, 11; 12, 7, 9, 3; 14, 4, 5, 1},ROWS(\$B\$8:B8)),COUNTIF(\$B\$2:\$E\$5,"<"&INDEX(\$B\$2:\$E\$5,MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)),,1)),0)

becomes

MATCH(SMALL({1, 10, 13, 8; 6, 15, 0, 11; 12, 7, 9, 3; 14, 4, 5, 1},1),COUNTIF(\$B\$2:\$E\$5,"<"&INDEX(\$B\$2:\$E\$5,MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)),,1)),0)

becomes

MATCH(0,COUNTIF(\$B\$2:\$E\$5,"<"&INDEX(\$B\$2:\$E\$5,MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)),,1)),0)

I will be using the INDEX function to extract the values we need based on a row number.

MATCH(0,COUNTIF(\$B\$2:\$E\$5,"<"&INDEX(\$B\$2:\$E\$5,MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5,"<"&\$B\$2:\$E\$5),ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)),,1)),0)

becomes

MATCH(0,COUNTIF(\$B\$2:\$E\$5,"<"&INDEX(\$B\$2:\$E\$5,2,,1)),0)

becomes

MATCH(0,COUNTIF(\$B\$2:\$E\$5,"<"&B3:E3),0)

becomes

MATCH(0,{6,15,0,11},0)

and returns 3. The value we are looking for is in column 3 relative to cell range \$B\$2:\$E\$5. #### Step 6 - Return value based on row and column

INDEX(\$B\$2:\$E\$5, MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)), MATCH(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8)), COUNTIF(\$B\$2:\$E\$5, "<"&INDEX(\$B\$2:\$E\$5, MIN(IF(SMALL(COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROWS(\$B\$8:B8))=COUNTIF(\$B\$2:\$E\$5, "<"&\$B\$2:\$E\$5), ROW(\$B\$2:\$E\$5)-MIN(ROW(\$B\$2:\$E\$5))+1)), , 1)), 0))

becomes

INDEX(\$B\$2:\$E\$5, 2, 3)

and returns "Apple" in cell B8. Range sorted from A to Z.xlsx

This post shows you how to filter a multi-column and multi-row cell range based on frequency:

Sort a range based on value frequency

The formula in cell B8 extracts a list sorted based on frequency. Array formula in B8: =TEXTJOIN("", TRUE, IF(MIN(IF((MAX(IF(COUNTIF(\$B\$7:B7, \$B\$2:\$E\$5)=0, […]

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