SMALL in Microsoft Excel: Nth-Smallest Values, Zeros and Ties

Use SMALL in Microsoft Excel to return the value at a chosen position when the observations are ordered from smallest to largest. The working example below describes daily order totals; its result is measured in orders. The official reference supports the function’s identity and purpose.

This guide separates documentation review from application testing. The expected numbers are independently calculated, not screenshots or results captured from Microsoft Excel.

SMALL(array, k)

Data range: a numeric range such as A2:A9. Each included observation occupies a position, even when two values are equal.

Position: a positive integer such as 2 for the second observation. The example uses no fractional positions and requires enough numeric data for the requested position.

Use SMALL to inspect the lower end of a numeric register, such as short turnaround times or low order quantities. It returns one value at a requested position; it does not move records or return the identifier attached to the result.

Smallest is a numerical direction, not a judgement of quality. A short completion time may be desirable, while a small order total may not be. Negative adjustments also sort below zero. Decide whether your source should contain adjustments, cancelled records or only completed observations before asking for a low-end value.

An operations workbook with one row per trading day provides the scenario. Enter the following numeric observations into A2:A9, one per row, with a header in A1. Use a spare result cell outside the input range.

Download the Microsoft Excel SMALL practice data (CSV). Import it into a new, blank sheet starting at A1, with a comma as the file delimiter and the header row retained. The CSV contains input values only, not formulas or native test results. Blank spacer columns place the requested position in D2 and any additional test data in column F. Keep observations numeric rather than importing them as text.

Example 1: Find the second-lowest observation

=SMALL(A2:A9,2)

Expected result: 180.

In the requested direction the observations are 120, 180, 240, 240, 300, 360, 420, 540. Position 2 supplies 180. The result is the measurement, not the original row number.

Example 2: Use a position cell and a fixed comparison range

Set D2 to 3 before entering the formula.

=SMALL($A$2:$A$9,D2)

Expected result: 240.

Enter 3 in D2. The formula requests position 3 while keeping the register fixed. For a list of positions, enter consecutive integers below D2 and copy the formula down; keep each position within the numeric count of 8.

Example 3: Check duplicates, zero and negative values

For this check, use F2:F6 containing -8, -3, 0, 6, 6, in that order. These values are included in the practice file.

=SMALL(F2:F6,2)

Expected result: -3.

The ascending order is -8, -3, 0, 6, 6. The second observation is -3; zero is a real observation and the negative values come before it.

The numeric model sorts a copy of the observations and selects the requested one-based position. It retains duplicates and signed values. The production formula examples use ordinary single-result calls; no claim is made about passing an array of positions or automatic spill behaviour. Keep stored results at full available precision and round only the final presentation when a report requires it. The displayed expectations above are rounded where necessary; a different number of displayed decimal places is not by itself a calculation error.

Zero appears before the positive observations. Zero is a valid numeric value, not a blank. Investigate whether it is a real measurement, a default inserted during import or an accidental replacement for missing data.

A position returns no valid result. Use an integer from 1 through the number of numeric observations. This guide deliberately avoids fractional-position coercion. Check the range and requested position before using error suppression.

The original register looks unchanged. SMALL is a calculation, not a sort command. When you need a complete ordered report with associated labels, sort complete records instead of sorting just one measurement column.

The Microsoft function reference is the source for this guide’s Excel name and purpose. The Excel reference uses an array or reference as the comparison data. The small, ordinary cell ranges here avoid depending on dynamic-array functions or workbook-specific named ranges.

For the daily order workbook, keep one comparable trading day per row. Exclude a grand-total row from the statistical input; it is not another trading day. When combining weeks, check that repeated dates are legitimate records rather than duplicated imports. The formula cannot make that distinction for you.

These examples use English function names and comma-separated arguments. A workbook configured for another regional separator may require semicolons. The data addresses stay the same. Test a copied formula on a small known input after an import or file conversion; this guide is not a certification of every Excel edition or exchange format.

For the same statistical question in other programs, see SMALL in Google Sheets, SMALL in ONLYOFFICE, SMALL in SoftMaker PlanMaker. These links identify corresponding measures, not a guarantee that names, mixed-data rules, error codes or file conversions are identical.

MEDIAN, LARGE, RANK.EQ, STDEV.S, STDEV.P, VAR.S, VAR.P. Browse the Microsoft Excel function library for the other published guides.

Editorial verification: The vendor documentation was reviewed on 2026-10-12. Scope: Microsoft Excel worksheet functions; the current Microsoft help entry is the reference, not a claim about every historical edition. Three numeric examples were checked with an independent arithmetic model. No native application run was performed. Single-value population edge cases, mixed-data coercion, exact error-code parity and round-trip workbook compatibility remain untested; they are not labelled application-verified.