# SMALL function

This article describes the formula syntax and usage of the SMALL function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

## Description

Returns the k-th smallest value in a data set. Use this function to return values with a particular relative standing in a data set.

## Syntax

`SMALL(array, k)`

The SMALL function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):

• Array    Required. An array or range of numerical data for which you want to determine the k-th smallest value.
• K    Required. The position (from the smallest) in the array or range of data to return.

## Remarks

• If array is empty, SMALL returns the #NUM! error value.
• If k ≤ 0 or if k exceeds the number of data points, SMALL returns the #NUM! error value.
• If n is the number of data points in array, SMALL(array,1) equals the smallest value, and SMALL(array,n) equals the largest value.

## Example

The example may be easier to understand if you copy it to a blank worksheet.

1. Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.

Selecting an example from Help

1. Press CTRL+C.
2. Create a blank workbook or worksheet.
3. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
4. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

A B
Data Data
3 1
4 4
5 8
2 3
3 7
4 12
6 54
4 8
7 23
Formula Description (Result)
=SMALL(A2:A10,4) 4th smallest number in first column (4)
=SMALL(B2:B10,2) 2nd smallest number in the second column (3)

Applies to:
Excel 2010, Excel Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses