SMALL Function (OpenOffice Calc)

Statistical Beginner OpenOffice Calc Introduced in OpenOffice.org 3.0
ranking k-th-smallest statistical numeric-data analysis

The SMALL function in OpenOffice Calc returns the k-th smallest value in a dataset. Learn syntax, examples, ranking behavior, common errors, and best practices.

Compatibility

What the SMALL Function Does

  • Returns the k‑th smallest numeric value
  • Ignores text and empty cells
  • Includes dates and times (because they are numeric)
  • Works across sheets
  • Useful for ranking, bottom‑N analysis, and statistical profiling

SMALL is ideal for identifying low performers or minimum values in sorted order.

Syntax

SMALL(range; k)

Arguments:

  • range — The dataset to evaluate
  • k — The rank (1 = smallest, 2 = second smallest, etc.)
k must be a positive integer and cannot exceed the number of numeric values in the range.

Basic Examples

Find the smallest value (same as MIN)

=SMALL(A1:A10; 1)

Find the second smallest value

=SMALL(A1:A10; 2)

Find the fifth smallest value

=SMALL(A1:A10; 5)

Find the k‑th smallest using a cell reference

=SMALL(A1:A10; B1)

If B1 contains 3, the formula returns the 3rd smallest value.

Advanced Examples

SMALL across sheets

=SMALL(Sheet1.A1:A100; 3)

SMALL with conditions (workaround)

OpenOffice Calc does not have SMALLIF, but you can use:

=SMALL(IF(A1:A100="North"; B1:B100); 1)

Confirm with Ctrl+Shift+Enter.

Bottom‑N list (dynamic)

To list the bottom 5 values:

=SMALL($A$1:$A$100; ROW(A1))

Copy down 5 rows.

SMALL within a date range

=SMALL(IF((A1:A100>=DATE(2025;1;1))*(A1:A100<=DATE(2025;12;31)); B1:B100); 1)

Confirm with Ctrl+Shift+Enter.

SMALL excluding zeros

=SMALL(IF(A1:A100<>0; A1:A100); 1)

Confirm with Ctrl+Shift+Enter.

SMALL in a 3D range

=SMALL(Sheet1:Sheet5.A1:A10; 2)

Common Errors and Fixes

SMALL returns Err:502 (Invalid argument)

Occurs when:

  • k is greater than the number of numeric values
  • k is zero or negative
  • All values are text or empty
  • Imported numbers stored as text

Fix: Convert text to numbers:
Data → Text to Columns → OK

SMALL returns the wrong value

Possible causes:

  • Hidden text numbers
  • Hidden spaces
  • Mixed data types

SMALL includes values you expected it to ignore

SMALL includes:

  • Dates
  • Times
  • Numeric results of formulas

SMALL excludes values you expected it to include

SMALL ignores:

  • Text numbers ("123")
  • Empty cells
  • Logical values (TRUE/FALSE)
  • Errors

Err:508 — Missing parenthesis

Usually caused by:

  • Missing )
  • Using commas instead of semicolons

Best Practices

  • Use SMALL for bottom‑N analysis
  • Use LARGE for top‑N analysis
  • Use array formulas for conditional ranking
  • Convert imported text numbers to real numbers
  • Avoid mixing text and numbers in the same column
  • Use named ranges for cleaner formulas
To build a Bottom 10 list, combine SMALL with INDEX/MATCH to return the corresponding names or categories.

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