# AVERAGEIFS function

Returns the average (arithmetic mean) of all cells that meet multiple criteria.

Syntax

AVERAGEIFS(average_range,criteria_range1,criteria1,criteria_range2,criteria2…)

Average_range     is one or more cells to average, including numbers or names, arrays, or references that contain numbers.

Criteria_range1, criteria_range2, …     are 1 to 127 ranges in which to evaluate the associated criteria.

Criteria1, criteria2, …     are 1 to 127 criteria in the form of a number, expression, cell reference, or text that define which cells will be averaged. For example, criteria can be expressed as 32, "32", ">32", "apples", or B4.

Remarks

• If average_range is a blank or text value, AVERAGEIFS returns the #DIV0! error value.
• If a cell in a criteria range is empty, AVERAGEIFS treats it as a 0 value.
• Cells in range that contain TRUE evaluate as 1; cells in range that contain FALSE evaluate as 0 (zero).
• Each cell in average_range is used in the average calculation only if all of the corresponding criteria specified are true for that cell.
• Unlike the range and criteria arguments in the AVERAGEIF function, in AVERAGEIFS each criteria_range must be the same size and shape as sum_range.
• If cells in average_range cannot be translated into numbers, AVERAGEIFS returns the #DIV0! error value.
• If there are no cells that meet all the criteria, AVERAGEIFS returns the #DIV/0! error value.
• You can use the wildcard characters, question mark (?) and asterisk (*), in criteria. A question mark matches any single character; an asterisk matches any sequence of characters. If you want to find an actual question mark or asterisk, type a tilde (~) before the character.

Note   The AVERAGEIFS function measures central tendency, which is the location of the center of a group of numbers in a statistical distribution. The three most common measures of central tendency are:

• Average     which is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
• Median     which is the middle number of a group of numbers; that is, half the numbers have values that are greater than the median, and half the numbers have values that are less than the median. For example, the median of 2, 3, 3, 5, 7, and 10 is 4.
• Mode     which is the most frequently occurring number in a group of numbers. For example, the mode of 2, 3, 3, 5, 7, and 10 is 3.

For a symmetrical distribution of a group of numbers, these three measures of central tendency are all the same. For a skewed distribution of a group of numbers, they can be different.

The example may be easier to understand if you copy it to a blank worksheet.

1. Create a blank workbook or worksheet.
2. Select the example in the Help topic.

Note   Do not select the row or column headers.

Selecting an example from Help
1. Press CTRL+C.
2. In the worksheet, select cell A1, and press CTRL+V.
3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
A B C D
Emilio 75 85 87
Julie 94 80 88
Hans 86 93 Incomplete
Frederique Incomplete 75 75
Formula Description (result)
=AVERAGEIFS(B2:B5,B2:B5,">70",B2:B5,"<90") Average first quiz grade that falls between 70 and 90 for all students (80.5). The score marked "Incomplete" is not included in the calculation because it is not a numerical value.
=AVERAGEIFS(C2:C5,C2:C5,">95") Average second quiz grade that is greater than 95 for all students. Because there are no scores greater than 95, #DIV0! is returned.
=AVERAGEIFS(D2:D5,D2:D5,"<>Incomplete",D2:D5,">80") Average final exam grade that is greater than 80 for all students (87.5). The score marked "Incomplete" is not included in the calculation because it is not a numerical value.

Example: Averaging real estate prices

The example may be easier to understand if you copy it to a blank worksheet.

1. Create a blank workbook or worksheet.
2. Select the example in the Help topic.

Note   Do not select the row or column headers.

Selecting an example from Help
1. Press CTRL+C.
2. In the worksheet, select cell A1, and press CTRL+V.
3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
A B C D E
Type Price Town Number of Bedrooms Garage?
Cozy Rambler 230000 Issaquah 3 No
Snug Bungalow 197000 Bellevue 2 Yes
Cool Cape Codder 345678 Bellevue 4 Yes
Splendid Split Level 321900 Issaquah 2 Yes
Exclusive Tudor 450000 Bellevue 5 Yes
Classy Colonial 395000 Bellevue 4 No
Formula Description (result)
=AVERAGEIFS(B2:B7,C2:C7,"Bellevue",D2:D7,">2" ,E2:E7,"Yes") Average price of a home in Bellevue that has at least 3 bedrooms and a garage (397839)
=AVERAGEIFS(B2:B7,C2:C7,"Issaquah",D2:D7,"<=3" ,E2:E7,"No") Average price of a home in Issaquah that has up to 3 bedrooms and no garage (230000)

Applies to:
Excel 2007