IXL | Calculate mean absolute deviation

In the data set below, what is the mean absolute deviation?

If the answer is a decimal, round it to the nearest tenth.

mean absolute deviation (MAD):

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question

In the data set below, what is the mean absolute deviation?

If the answer is a decimal, round it to the nearest tenth.

mean absolute deviation (MAD):

key idea

The mean absolute deviation (MAD) is a measure of how much a data set varies.

solution

Step
1:
Compute
the
mean,
μ
.

First add all of the numbers in the data set together. Then divide by the total number of values in the data set.

2 + 2 + ... + 3

The
mean,
μ
,
is
4.

Step 2: Compute the mean absolute deviation, MAD.

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values.

|2 − 4| + |2 − 4| + ... + |3 − 4| = 14

Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.

MAD

The mean absolute deviation, MAD, is 2.

Looking for more? Try these:

Lesson: Mean absolute deviation

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JJ.2Calculate mean, median, mode, and range

Lesson: Mean absolute deviation

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