What would you like to do?

How do you calculate mean absolute deviation?

already exists.

Would you like to merge this question into it?

already exists as an alternate of this question.

Would you like to make it the primary and merge this question into it?

exists and is an alternate of .

The Mean Absolute Deviation is calculated in three simple steps.

1) Determine the Mean: Add all numbers and divide by the count

example: the weights of the following three people, denoted by letters are
A - 56 Kgs
B - 78 Kgs
C - 90 Kgs

Mean = (56+78+90)/3
= 74.6
2) Determine deviation of each variable from the Mean
i.e 56-74.6 = -18.67
78-74.6= 3.33
90-74.6 =15.33
3) Make the deviation 'absolute' by squaring and determining the roots i.e eliminate the negative aspect
Thus the Mean Absolute Deviation is (18.67 +3.33+15.33)/3 =12.44

Alternatively , you can use the excel formula =AVEDEV(56,78,90) to obtain the result.
Different Methods
There are different formulas for the calculation of mean absolute deviation. For example mean absolute deviation from mean and mean absolute deviation from median. Similarly the formulas for grouped and ungrouped data are also different. In order to see the calculation of mean absolute deviation from mean and mean absolute deviation from median for both grouped and ungrouped data please visit the link given below.
Let's consider the sample {2, 2, 3, 4, 14}.

First of all you must decide, what am I calculating the mean absolute deviation from? Will it be the mean, the mode or the median? (It could be any measure of what statisticians call 'location' or 'central tendency'.)

For no good reason except that it's familiar to most people let me choose the mean of the sample. It proves to be 5.

Now we need the absolute deviation of each sample element from the mean. Notice that these are the distances between the mean and the sample elements.

|2 - 5| = |-3| = 3
|2 - 5| = |-3| = 3
|3 - 5| = |-2| = 2
|4 - 5| = |-1| = 1
|14 - 5| = |9| = 9

The sum of these is 18; then their average is 18/5 = 3.6. So the mean absolute deviation (from the mean) is 3.6. In other words, the sample points are, on average 3.6 units from the mean.

For more information visit the Related Links.
33 people found this useful
Thanks for the feedback!

Formula of mean absolute deviation?

Mean absolute deviation = sum[|x-mean(x)|]/n Where mean(x) = sum(x)/n and n is the number of observations. |y| denotes the absolute value of y.

What is mean absolute deviation formula?

You find the mean, and find the mean of the mean. Mean=5 Data set: 1 2 3 5 6 9 9  Calculate how far away the other numbers are from the mean New data set from doing above: 4

What does Mean Absolute Deviation mean?

The mean absolute deviation for a set of data is a measure of the spread of data. It is calculated as follows:. Find the mean (average) value for the set of data. Call it M

What is the mean absolute deviation of 8590687579?

None. The mean of a single number is itself. Therefore deviation from the mean = 0 Therefore absolute deviation = 0 Therefore mean absolute deviation = 0 None. The mean of

What is the purpose of mean absolute deviation?

Various answers to this question are possible. The mean absolute deviation (MAD) is a measure of the dispersion or spread of a sample or a population. So one of its purposes

How do u calculate mean absolute deviation?

You calculate the mean. . For each observation, you calculate its deviation from the mean. . Convert the deviation to absolute deviation. . Calculate the mean of these abso

How do you calculate mean absolute deviation on excel?

There is no single function in Excel. . You calculate the mean (average). . For each observation, you calculate its deviation from the mean. . Convert the deviation to abs
In Science

Define mean absolute deviation?

The average mean absolute deviation of a data set is the average of  the absolute deviations from a central point. It is a summary  statistic of statistical dispersion or va