## How to use the SMALL function

*Article updated on May 04, 2018*

The SMALL function returns the k-th smallest value from a group of numbers.

Example, formula in cell E3 returns 5 because it is the third smallest number in cell range B3:B7. 2, 3, 5, 5 and 6.

### Excel Function Syntax

SMALL(*array*, *k*)

### Arguments

array |
Required. A group of numbers you want to extract the k-th smallest number from. |

k |
Required. k-th value, 1 returns the smallest number, 2 returns the second smallest number etc. |

### Example 1 - Cell range contains numbers, text and blanks

becomes

=SMALL({3; 6; "A"; 5; "X"; 0; 4; 4},3)

Text strings and blanks are overlooked. The array becomes

=SMALL({3; 6; ; 5; ; ; 4; 4},3)

and returns 4. 4 is the third smallest numerical value in the array.

### Example 2 - Use a condition (Array formula)

The following array formula looks for the second smallest value in column C if corresponding value in adjacent column D is 2012-Dec:

becomes

=SMALL(IF({"2013-Jan"; "2012-Dec"; "2013-Jan"; "2012-Dec"; "2012-Nov"; "2013-Jan"; "2013-Jan"; "2012-Dec"; "2013-Jan"; "2012-Nov"; "2012-Dec"}="2012-Dec", C4:C14, ""), F4)

becomes

=SMALL(IF({FALSE;TRUE;FALSE;TRUE;FALSE;FALSE;FALSE;TRUE;FALSE;FALSE;TRUE}, C4:C14, ""), F4)

becomes

=SMALL({"";60.69;"";8.08;"";"";"";24.44;"";"";2.25}, 2)

and returns 8.08 in cell F7.

### Download excel *.xlsx file

### Articles with the 'SMALL' Function

The following 12 articles have formulas that contain the SMALL function.

### Functions in 'Statistical'

The SMALL function function is one of many functions in the 'Statistical' category.

### 12 Responses to “How to use the SMALL function”

### Leave a Reply

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**Contact Oscar**

You can contact me through this webpage

Hi Oscar,

I am in love with.. your formula explanation.. :)

Waiting eagerly for MMULT & some D-Functions..

Regards,

Deb

Debraj Roy,

Thank you!

I am curious, in what situation do you use MMULT?

Hi Oscar,

We can use MMULT in all cases where SUMPRODUCT fails..

with only Two Criteria..

* Only TWO Array can be multiplied..

* 1st Array's No Of Row.. Should be Same as 2nd Array's No Of Column..

Unlike SUMPRODUCT, It returns ARRAY output..

I think, Binary Addition & Binary Multiplication are the base of all FORMULA's & FUNCTION..

and you are doing a great job, by teaching/using them in your daily blog..

Regards!

Deb

Debraj Roy,

Well, I am learning from you right now.

Can you provide an example where SUMPRODUCT fails and MMULT succeeds?

I searched and found my old mathematics books from college, I had forgotten the basics of multiplying two matrices. :-)

It is worthwhile mentioning that in both Small and Large K could also be an array

So if A1:A10 contains random numbers the below formulas

=Large(A1:A10,{1,2,3}) - Return an array containing the top 3 numbers

=SUM(Large(A1:A10,{1,2,3}) -Array entered Returns the Sum of the top 3 numbers

=SUM(LARGE(A1:A10,ROW(INDIRECT("1:"&TopN))))- Array Entered Returns the sum of the Top N numbers as defined in the Cell/Named Constant TopN

=Large(A1:A10,Row(A1:A10))- Array entered returns an array of numbers in A1:A10 in Descending order

Likewise Small

sam,

It is worthwhile mentioning that in both Small and Large K could also be an arrayYes you are right! Thanks for pointing that out.

[…] SMALL(array,k) Returns the k-th smallest number in this data set. […]

=Small({VALUE(DV147),VALUE(DZ147),VALUE(ED147),VALUE(EH147)},2) will not work. If I use sum and the "Value(-----)" amounts, it works.

What am I doing wrong?

The numbers are stored as text in those cells for other reasons.

[…] LARGE function extracts the n-th largest number twice for every two cells. This allows us to return both the […]

I'm using the SMALL function inside an array. I understand how to use the function to return an array where values are greater than or equal to a number. But how do I use the function if I want to return results that are between two numbers?

I've tried nesting an AND statement within the IF statement, but it isn't working (no values are returned).

Any suggestions? Thanks!

julie,

=SMALL(IF(($A$2:$A$10< $F$2)*($A$2:$A$10>$F$3),$A$2:$A$10,""),ROW(A1))

[…] LARGE(array,k) returns the k-th largest row number in this data set. […]