To dynamically sort a list of numbers in ascending order, you can a simple formula based on the SMALL function with an expanding range. In the example shown, the formula in cell C5 is:
=SMALL(data,ROWS($B$5:B5))...

To highlight the 3 smallest values that meet specific criteria, you can use an array formula based on the AND and SMALL functions.
In the example shown, the formula used for conditional formatting is:
=AND($B3=$G$3...

To retrieve multiple matching values from a set of data with a formula, you can use the IF and SMALL functions to figure out the row number of each match and feed that value back to INDEX. In the example shown, the...

To sum the bottom n values in a range matching criteria, you can use an array formula based on the SMALL function, wrapped inside the SUM function. In the generic form of the formula (above), range1 represents the range...

To get the 2nd smallest value, 3rd smallest value, 4th smallest value, and so on, from a set of data, you can use the SMALL function.
In the example shown, the formula in G5 is:
=SMALL(times,F5)
How this formula...

To get the 2nd smallest value, 3rd smallest value, 4th smallest value, and so on, where each value matches supplied criteria, you can use an array formula that uses the SMALL and IF functions.
In the example shown, the...

To highlight the smallest (bottom) values in a set of data with conditional formatting, you can use a formula based on the SMALL function.
In the example shown, the formula used for conditional formatting is:
=B4...

To extract multiple matches to separate cells, in separate rows, you can use an array formula based on INDEX and SMALL. In the example shown, the formula in E5 is:
{=IFERROR(INDEX(names,SMALL(IF(groups=E$4,ROW(names)-...

To extract multiple matches to separate cells, in separate columns, you can use an array formula based on INDEX and SMALL. In the example shown, the formula in F5 is:
{=IFERROR(INDEX(names,SMALL(IF(groups=$E5,ROW(...

If you need to sum or add the bottom values in a range, you can do so with a formula that uses the SMALL function wrapped inside the SUMPRODUCT function. In the generic form of the formula (above), rng represents a...

To break ties, you can use a helper column and the COUNTIF function to adjust values so that they don't contain duplicates, and therefore won't result in ties. In the example shown, the formula in D5 is:
=C5+(COUNTIF...

To find the n lowest values in a set of data, you can use the SMALL function. This can be combined with INDEX as shown below to retrieve associated values. In the example shown, the formula in F7 is:
=SMALL(bid,E7)...

To get the position of the nth match (for example, the 2nd matching value, the 3rd matching value, etc.), you can use a formula based on the SMALL function. In the example shown, the formula in G5 is:
=SMALL(IF(list=...