Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. 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: Excluding Values from Averaging.

Excluding Values from Averaging

by Allen Wyatt
(last updated May 30, 2020)

4

You've seen it on the Olympics and in other sporting events: The average score for an athlete is determined by throwing out the highest score and the lowest score, and then averaging the rest. You may have a need to do similar types of averages. For instance, you may be a teacher and need to exclude the two lowest assignment scores before calculating an average.

To perform this type of averaging, all you need to remember is that an average is calculated by summing all the values in a range and then dividing that sum by the number of items in that range. The SUM function easily provides the sum, and the COUNT function can be used to find out the number of items in the range. How to exclude the two lowest values in the range? You can use the SMALL function.

Consider the following formula, which assumes you want to find an adjusted average of the range A10:A14:

=(SUM(A10:A14)-SMALL(A10:A14,1)-SMALL(A10:A14,2))/(COUNT(A10:A14)-2)

The SMALL function is used to determine the two lowest values in the range, and these are subtracted from the overall sum of the range. The resulting value is then divided by the COUNT of values in the range. Note, as well, that the COUNT value is decreased by 2 to compensate for the fact you are ignoring the two lowest values.

Another way to calculate the same average is to use an array formula. The following one does the trick:

=AVERAGE(IF(A10:A14>SMALL(A10:A14,2),A10:A14))

Since this is an array formula, you need to enter it by pressing Ctrl+Shift+Enter instead of just pressing Enter. This formula still relies on the use of the SMALL function, but it also uses the actual AVERAGE function to return a result. Since this is an array formula, it examines each of the values in the array (the range) and only considers them for use in the average if they are larger than the second smallest value in the array.

While the array formula is shorter than the longer regular formula, there is one caveat to keep in mind: The array formula will produce an undesired result if there is a two-way "tie" in the second-lowest value in the range, or a three-way tie in the lowest value. For instance, if the values being averaged are 3, 2, 10, 3, and 7, then the array formula will produce an average of 8.5. Why? Because only the values 10 and 7 are above the second-lowest value, and the average of those two is 8.5. If you use the longer formula, first presented above, then the average returned is 6.666667, which is the average of 10, 3, and 7.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (10697) applies to Microsoft Excel 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. You can find a version of this tip for the older menu interface of Excel here: Excluding Values from Averaging.

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. ...

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Comments

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What is 8 + 1?

2020-06-01 11:57:29

Peter Atherton

Dimitris
You might be better with two functions one to calculate the average and call the sum function.
Function sumNLarge(ByVal ref, n)
Dim i As Long, counter As Long
counter = ref.Count
For i = 1 To n + 1
sumNLarge = sumNLarge + WorksheetFunction.Large(ref, i)
Next i
End Function

Function nLARGEMEAN2(ByVal ref, n)
Dim counter As Long
counter = ref.Count - n + 1
nLARGEMEAN2 = sumNLarge(ref, n) / counter
End Function

Regarding excluding the top and bottom values in Allen's post better is:
=(SUM(A1:A14)-(SUM(MIN(A1:A14)+MAX(A1:A14))))/(COUNT(A1:A14)-2)


2020-06-01 09:45:56

Peter Atherton

Dimitris
Try this
=(SUM(A1:A20)-SUM(SMALL(A1:A20,{1,2,3,4,5,6,7,8,9})))/(COUNT(A1:A20)-9)

This UDF is easier to enter:
Function nLargeSUM(ByVal ref, n As Long)
Dim tmp As Double, i As Long, counter
counter = ref.Count - n
nLargeSUM = WorksheetFunction.Sum(ref)
For i = 1 To n
tmp = tmp + WorksheetFunction.Small(ref, i)
Next
nLargeSUM = (nLargeSUM - tmp) / counter
End Function

Just enter the range and the number to exclude e.g =nLARGESUM(A1:A20,9)


2020-06-01 09:38:49

Peter Atherton

Dimitris
Try this
=(SUM(A1:A20)-SUM(SMALL(A1:A20,{1,2,3,4,5,6,7,8,9})))/(COUNT(A1:A20)-9)

This UDF is easier to enter:
Function nLargeSUM(ByVal ref, n As Long)
Dim tmp As Double, i As Long, counter
counter = ref.Count - n
nLargeSUM = WorksheetFunction.Sum(ref)
For i = 1 To n
tmp = tmp + WorksheetFunction.Small(ref, i)
Next
nLargeSUM = (nLargeSUM - tmp) / counter
End Function

Just enter the range and the number to exclude e.g =nLARGESUM(A1:A20,9)


2020-05-31 02:35:42

Dimitris

In column A I have the numbers 1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20

if i want to exclude the 9 lowest values ( 1,2,3,4,5,6,7,8,9) what formula solve my problem;
Ih the formula =(SUM(A1:A20)-SMALL(A1:A20,1)-SMALL(A1:A20,2))/(COUNT(A1:A20)-2)
what i must shange;


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