Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, and 2013. If you are using an earlier version (Excel 2003 or earlier), this tip may not work for you. For a version of this tip written specifically for earlier versions of Excel, click here: Deriving High and Low Non-Zero Values.

Deriving High and Low Non-Zero Values

by Allen Wyatt
(last updated August 15, 2015)

4

There may be times when you need to derive the smallest (or largest) value from a range, unless the smallest (or largest) value is zero. For instance, you might have a range of values such as {0, 3, 1, 4, 2}. In this case, the lowest value is zero, but the value you really want returned is 1.

There is no intrinsic function within Excel to return a value as stipulated here. However, you can create a formula that will do the trick. Assuming that the range of values you want to analyze are in C4:C8, the following formula will return the lowest non-zero value:

=IF(MIN(C4:C8)=0,SMALL(C4:C8,COUNTIF(C4:C8,"=0")+1),MIN(C4:C8))

This formula uses the MIN function to determine if the lowest value in the range is zero. If it is, then the SMALL function is used to derive the lowest value, excluding the zeros. (The COUNTIF function returns the number of zeros in the range, and therefore tells SMALL which item from the range to pick.)

A small change to the formula allows it to be used to return the largest non-zero number in a range:

=IF(MAX(C4:C8)=0,LARGE(C4:C8,COUNTIF(C4:C8,"=0")+1),MAX(C4:C8))

These formulas will work for any range, unless the range is made up entirely of zeros. In that instance, a #NUM! error is returned.

If you prefer to use array formulas, then you can make the formula much shorter. This version returns the lowest non-zero value:

=MIN(IF(C4:C8=0,9^9,C4:C8))

Remember to enter it using Ctrl+Shift+Enter. It also suffers from a problem if all the values in the range are 0; in that case it returns 387420489, which is 9^9. (It would also return that value if all the values in the range were greater than 387420489.)

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (9750) applies to Microsoft Excel 2007, 2010, and 2013. You can find a version of this tip for the older menu interface of Excel here: Deriving High and Low Non-Zero Values.

Author Bio

Allen Wyatt

With more than 50 non-fiction books and numerous magazine articles to his credit, Allen Wyatt is an internationally recognized author. He is president of Sharon Parq Associates, a computer and publishing services company. ...

MORE FROM ALLEN

Setting Your Default Document Directory

Word allows you to specify where it should start looking for your documents. This setting can come in handy if you store ...

Discover More

Moving Found Text Down On a Page

When you use the Search feature to find information, if the information is not on the visible page, then Word displays ...

Discover More

Files Opening Slowly If Many Files Exist

Managing large numbers of documents in Word can lead to some interesting challenges. One potential challenge is that your ...

Discover More

Save Time and Supercharge Excel! Automate virtually any routine task and save yourself hours, days, maybe even weeks. Then, learn how to make Excel do things you thought were simply impossible! Mastering advanced Excel macros has never been easier. Check out Excel 2010 VBA and Macros today!

More ExcelTips (ribbon)

Identifying Values that Don't Follow a Specific Pattern

When you store textual information in a worksheet, it can be helpful to figure out if that information follows a pattern ...

Discover More

Determining Winners, by Category

Do you need to determine the top three values in a range of columns? The techniques discussed in this tip will come in ...

Discover More

Returning a Weight and a Date

If you have two columns containing dates and weights from those dates, you may want to pick a date associated with a ...

Discover More
Subscribe

FREE SERVICE: Get tips like this every week in ExcelTips, a free productivity newsletter. Enter your address and click "Subscribe."

View most recent newsletter.

Comments

If you would like to add an image to your comment (not an avatar, but an image to help in making the point of your comment), include the characters [{fig}] in your comment text. You’ll be prompted to upload your image when you submit the comment. Maximum image size is 6Mpixels. Images larger than 600px wide or 1000px tall will be reduced. Up to three images may be included in a comment. All images are subject to review. Commenting privileges may be curtailed if inappropriate images are posted.

What is five minus 4?

2016-04-21 09:02:54

Vaibhav

Simplest formula according to me would be:

=SMALL($C$4:$C$8,COUNTIF($C$4:$C$8,0)+1)

Cheers!!


2015-08-19 11:12:09

Steven M

The following assumes the search list contains no negative values.
Why does the formula for finding the Largest non-zero need the COUNTIF? Doesn't that lead to an incorrect answer?
Simply using the MAX function works for all cases where there is at least one value greater than zero. One could add an IF statement to return an error message for the case of all zero values.


2015-08-15 20:03:44

S adams

I think you can use the 2nd argument part of the formula without the IF statement and use only 2 functions.
=SMALL(C4:C8,COUNTIF(C4:C8,0)+1)

You can also wrap the formula in a IFERROR function to return text such as "All Zeros" if desired.
=IFERROR(SMALL(C4:C8,COUNTIF(C4:C8,0)+1),"All Zeros")


2015-08-15 14:34:28

Locke Garmin

Here is another non-array formula that will work and is a little shorter and less complex using 3 functions instead of 5 and 3 range references instead of 4:

=SMALL(C4:C8,SUMPRODUCT((C4:C8=0)*(MIN(C4:C8)=0))+1)

Plus finding the largest non-zero number only requires changing 2 of the formulas instead of 3:

=LARGE(C4:C8,SUMPRODUCT((C4:C8=0)*(MAX(C4:C8)=0))+1)


This Site

Got a version of Excel that uses the ribbon interface (Excel 2007 or later)? This site is for you! If you use an earlier version of Excel, visit our ExcelTips site focusing on the menu interface.

Newest Tips
Subscribe

FREE SERVICE: Get tips like this every week in ExcelTips, a free productivity newsletter. Enter your address and click "Subscribe."

(Your e-mail address is not shared with anyone, ever.)

View the most recent newsletter.