## How to use the SMALL function

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 7 articles have formulas that contain the SMALL function.

SMALL function with duplicates

The formulas in column E, shown in the picture above, extracts the k-th smallest value from B3:B9 ignoring the duplicate numbers. […]

The array formula in cell C11 gets 3 values in one fetch, the INDEX function allows you to do that […]

SMALL function – multiple conditions

The array formula in D10 extracts numbers sorted from small to large from column D if Region is equal to […]

SMALL function with multiple cell ranges

Today I learned how to sort numbers from multiple cell ranges thanks to Sam Miller. It is surprisingly simple and easy. […]

How to ignore error values using the SMALL function

The image above shows you a formula in cell D3 that tries to get the smallest number from cell range […]

The array formula in column E, shown in above picture sorts text values from column B. The Length columns prove […]

How to ignore zeros using the SMALL function

The formula in cell D3 is an array formula, it will extract the k-th smallest value ignoring zeros. Related articles

### Functions in 'Statistical'

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

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The AVERAGEIF function returns the average of cell values that are valid for a given condition. Formula in cell D3: […]

How to use the AVERAGEIFS function

The AVERAGEIFS function returns the average of cell values that evaluates to TRUE for multiple criteria. Formula in cell F6: =AVERAGEIFS(D3:D8,B3:B8,F3,C3:C8,G3) […]

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The BETA.DIST function calculates the beta distribution. It represents outcomes in the form of probabilities. This function was introduced in Excel […]

How to use the BETA.INV function

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How to use the CHISQ.INV.RT function

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How to use the CHISQ.TEST function

The CHISQ.TEST function calculates the test for independence, the value returned from the chi-squared statistical distribution and the correct degrees […]

How to use the CONFIDENCE.NORM function

The CONFIDENCE.NORM function calculates the confidence interval for a population mean. Formula in cell C7: =CONFIDENCE.NORM(C3,C4,C5) Excel Function Syntax CONFIDENCE.NORM(alpha,standard_dev,size) […]

How to use the CONFIDENCE.T function

The CONFIDENCE.T function calculates the confidence range for a population mean using a Student's t distribution. Formula in cell C7: […]

How to use the CORREL function

The CORREL function calculates the correlation between two groups of numbers. Formula in cell B12: =CORREL(C3:C9, D3:D9) The value in cell […]

The COUNT function counts all numerical values in an argument, it allows you to have up to 255 arguments. Blank […]

How to use the COUNTA function

The COUNTA function counts the non-empty or blank cells in a cell reference. The picture above demonstrates the COUNTA function […]

How to use the COUNTBLANK function

The COUNTBLANK function counts empty or blank cells in a range. The picture above demonstrates the COUNTBLANK function entered in […]

How to use the COUNTIF function

Counts the number of cells that meet a specific condition.

How to use the COUNTIFS function

Checks multiple conditions against the same number of cell ranges and counts how many times all criteria are met.

How to use the COVARIANCE.P function

The COVARIANCE.P function calculates the covariance meaning the average of the products of deviations for each pair in two different […]

How to use the COVARIANCE.S function

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How to use the EXPON.DIST function

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How to use the F.DIST function

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How to use the F.DIST.RT function

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How to use the F.TEST function

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How to use the FREQUENCY function

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How to use the GAMMA.DIST function

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How to use the GEOMEAN function

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How to use the GROWTH function

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How to use the INTERCEPT function

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How to use the MAXIFS function

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How to use the MEDIAN function

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How to use the MINIFS function

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How to use the MODE.MULT function

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The MODE.SNGL function calculates the most frequent value in an array or cell range. Excel Function Syntax MODE.SNGL(number1,[number2],...) Arguments number1 […]

How to use the NORM.DIST function

The NORM.DIST function calculates the normal distribution for a given mean and standard deviation. Formula in cell C7: =NORM.DIST(C2,C3,C4,C5) Excel […]

How to use the NORM.INV function

The NORM.INV function calculates the inverse of the normal cumulative distribution for a given mean and standard deviation. Formula in […]

How to use the PERCENTRANK.EXC function

The PERCENTRANK.INC function calculates the percent rank of a given number in a data set. This function was introduced in […]

How to use the PERCENTRANK.INC function

The PERCENTRANK.INC function calculates the percent rank of a given number compared to the whole data set. The image above […]

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How to use the PERMUTATIONA function

The PERMUTATIONA function returns the number of permutations for a specific number of elements that can be selected from a […]

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How to use the RANK.EQ function

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The SKEW function calculates the skewness of a group of values with an asymmetric tail from its mean value. Formula in […]

The SLOPE function calculates the slope of the linear regression line through coordinates. Formula in cell B10: =SLOPE(B3:B7,C3:C7) Excel Function […]

The SMALL function lets you extract a number in a cell range based on how small it is compared to the other numbers in the group.

How to use the STANDARDIZE function

The STANDARDIZE function calculates a normalized value from a distribution characterized by mean and standard_dev. Formula in cell C5: =STANDARDIZE(C2, […]

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

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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. […]