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Excel SMALL Function

The SMALL function returns the kth smallest value from a set of numeric values. It is useful in finding a value based on its relative position in a dataset, sorted ascending order.

small function 1


Syntax

=SMALL (array, k)


Arguments

  • Array (required): An array or range of numeric values from which you want to find the kth smallest value.
  • K (required): The position from the smallest to return.

Return value

The SMALL function returns a numeric value.


Function notes

  1. SMALL function ignores empty cells or cells that contain text or logical values.
  2. Cells with zero values will be included in the calculation.
  3. The #NUM! error value occurs if:
    • the supplied value of the k argument is less than 1 or greater than the number of values in the given array.
    • the supplied array is empty or non-numeric.
  4. The #VALUE! error value occurs if the supplied k argument is non-numeric.

Examples

To get the 1st, 2nd, and 3rd smallest values from the numeric values provided in the below table, please copy the two formulas below into cells F4, F5, and F6 respectively, then press the Enter key to get the results.

=SMALL (C5:C14, 1)

=SMALL (C5:C14, 2)

=SMALL (C5:C14, 3)

small function 2

Notes:

  1. The array argument in the above formula is supplied as a range that contains multiple values.
  2. The array argument can also be supplied as constant arrays. An array constant is a hard-coded set of values in an Excel formula, appearing in curly braces {}. For example, the above formula in F4 can be changed to:

    =SMALL({64,71,77,68,72,54,60,98,69,75}, 1)

    small function 3

Relative Functions:

  • Excel EVEN Function
    The EVEN function rounds numbers away from zero to the nearest even integer.

  • Excel EXP Function
    The EXP function returns the result of the constant e raised to the nth power.


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