Mean Absolute Deviation (AVEDEV)

Excel Formulas › Statistics

All versionsAVEDEV

How spread out is your data, on average? AVEDEV returns the mean of the absolute distances from the average — a simple, outlier-resistant measure of variability that’s easier to explain than standard deviation.


Quick formula: mean absolute deviation of B2:B100:
=AVEDEV(B2:B100)
Each value’s distance from the mean, made positive, then averaged.

Functions used (tap for the full reference guide):

The example

Average distance from the mean.

AB
1ValueMAD
22, 4, 6, 82

The formula

The formula:

=AVEDEV(B2:B100) // avg |value − mean|

How it works

How it works:

  1. AVEDEV(range) averages the absolute deviations from the mean — |value − average|.
  2. Unlike standard deviation, it doesn’t square the differences, so outliers pull it less.
  3. It’s in the same units as the data, making it intuitive: “on average, points are X away from the mean.”
  4. Equivalent to =SUMPRODUCT(ABS(range - AVERAGE(range)))/COUNT(range) if you want to see the mechanics.

MAD vs standard deviation: standard deviation squares deviations (so big errors dominate) and is the basis of most statistical tests; MAD treats all distances linearly and is more robust to outliers. For a quick, plain-language sense of spread, MAD is often the clearer choice.

Try it: interactive demo

Live demo

Values.

Mean · MAD

Variations

By hand

The mechanics:

=SUMPRODUCT(ABS(B2:B9 - AVERAGE(B2:B9))) / COUNT(B2:B9)

Standard deviation

Squared version:

=STDEV(B2:B100)

Deviation from median

Robust center:

=AVERAGE(ABS(B2:B9 - MEDIAN(B2:B9)))

Pitfalls & errors

Not standard deviation. AVEDEV uses absolute, not squared, deviations — the values differ.

Mean-based. It measures spread around the mean; for skewed data, deviation from the median may be more telling.

Text is skipped. AVEDEV ignores text and blanks, like AVERAGE.

Practice workbook

📊
Download the free Mean Absolute Deviation (AVEDEV) practice workbook
A mean-absolute-deviation sheet with the by-hand, standard-deviation, and median-deviation variants, plus 4 challenges with answers. No sign-up required.

Frequently asked questions

What does AVEDEV do in Excel?
AVEDEV returns the mean of the absolute deviations from the average — a measure of spread in the same units as the data, less affected by outliers than standard deviation.
How is MAD different from standard deviation?
MAD averages absolute deviations; standard deviation averages squared deviations and then takes the root, giving big values more weight.
Can I compute it without AVEDEV?
Yes: =SUMPRODUCT(ABS(range - AVERAGE(range)))/COUNT(range) reproduces it.

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Related formulas: Standard deviation · Variance calculation · Range & IQR

Function references: AVEDEV