Statistical
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=SMALL()
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.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=SMALL(array, k)
Hover argument names in the table for details.
Output typeNumber
Popularity80 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
array |
Array | Required | An array or range of numerical data for which you want to determine the k-th smallest value. |
k |
Any type | Required | The position (from the smallest) in the array or range of data to return. |
▣ Examples
▦ Data
| Cell | Value |
|---|---|
A2 |
Data 1 |
B2 |
Data 2 |
A3 |
3 |
B3 |
1 |
A4 |
4 |
B4 |
4 |
A5 |
5 |
B5 |
8 |
A6 |
2 |
B6 |
3 |
A7 |
3 |
B7 |
7 |
A8 |
4 |
B8 |
12 |
A9 |
6 |
B9 |
54 |
A10 |
4 |
B10 |
8 |
A11 |
7 |
B11 |
23 |
A12 |
Data 1 |
B12 |
Data 2 |
A13 |
3 |
B13 |
1 |
A14 |
4 |
B14 |
4 |
A15 |
5 |
B15 |
8 |
A16 |
2 |
B16 |
3 |
A17 |
3 |
B17 |
7 |
A18 |
4 |
B18 |
12 |
A19 |
6 |
B19 |
54 |
A20 |
4 |
B20 |
8 |
A21 |
7 |
B21 |
23 |
4th smallest number in first column (4)
=SMALL(A2:A10,4)
Result:
4
2nd smallest number in the second column (3)
=SMALL(B2:B10,2)
Result:
3
§ 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.
✦ Tips
- 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.
⚠ Common Errors
#NUM!
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.
Fix: Check the second argument
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