Mean absolute deviation worksheet

Take each value away from the mean, drop the minus signs, and average what is left. It answers a different question from the range: how far a typical value sits from the middle, rather than how far the two extremes are apart.

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Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Mean Absolute Deviation Date Period Find the mean absolute deviation. The mean is $15$ . Find the mean absolute deviation: $3, 3, 6, 24, 27, 27$ The mean is $21$ . Find the mean absolute deviation: $12, 15, 21, 27, 30$ The mean is $19$ . Find the mean absolute deviation: $13, 13, 16, 22, 25, 25$ The mean is $16$ . Find the mean absolute deviation: $4, 7, 10, 22, 25, 28$ The mean is $17$ . Find the mean absolute deviation: $5, 11, 14, 20, 23, 29$ The mean is $16$ . Find the mean absolute deviation: $7, 10, 13, 19, 22, 25$ The mean is $17$ . Find the mean absolute deviation: $5, 8, 11, 23, 26, 29$ The mean is $24$ . Find the mean absolute deviation: $12, 12, 21, 27, 36, 36$ The mean is $24$ . Find the mean absolute deviation: $15, 15, 21, 27, 33, 33$ The mean is $16$ . Find the mean absolute deviation: $4, 10, 13, 19, 22, 28$ The mean is $19$ . Find the mean absolute deviation: $10, 13, 19, 25, 28$ The mean is $20$ . Find the mean absolute deviation: $8, 8, 17, 23, 32, 32$ The mean is $20$ . Find the mean absolute deviation: $8, 14, 17, 23, 26, 32$ The mean is $24$ . Find the mean absolute deviation: $12, 21, 21, 27, 27, 36$ The mean is $24$ . Find the mean absolute deviation: $15, 18, 24, 30, 33$ The mean is $15$ . Find the mean absolute deviation: $3, 3, 9, 21, 27, 27$ The mean is $17$ . Find the mean absolute deviation: $11, 14, 14, 20, 20, 23$ The mean is $17$ . Find the mean absolute deviation: $5, 5, 11, 23, 29, 29$ The mean is $21$ . Find the mean absolute deviation: $12, 15, 18, 24, 27, 30$ The mean is $16$ . Find the mean absolute deviation: $10, 13, 13, 19, 19, 22$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mean Absolute Deviation

Date Period

Find the mean absolute deviation.

The mean is $15$ . Find the mean absolute deviation: $3, 3, 6, 24, 27, 27$
The mean is $21$ . Find the mean absolute deviation: $12, 15, 21, 27, 30$
The mean is $19$ . Find the mean absolute deviation: $13, 13, 16, 22, 25, 25$
The mean is $16$ . Find the mean absolute deviation: $4, 7, 10, 22, 25, 28$
The mean is $17$ . Find the mean absolute deviation: $5, 11, 14, 20, 23, 29$
The mean is $16$ . Find the mean absolute deviation: $7, 10, 13, 19, 22, 25$
The mean is $17$ . Find the mean absolute deviation: $5, 8, 11, 23, 26, 29$
The mean is $24$ . Find the mean absolute deviation: $12, 12, 21, 27, 36, 36$
The mean is $24$ . Find the mean absolute deviation: $15, 15, 21, 27, 33, 33$
The mean is $16$ . Find the mean absolute deviation: $4, 10, 13, 19, 22, 28$
The mean is $19$ . Find the mean absolute deviation: $10, 13, 19, 25, 28$
The mean is $20$ . Find the mean absolute deviation: $8, 8, 17, 23, 32, 32$
The mean is $20$ . Find the mean absolute deviation: $8, 14, 17, 23, 26, 32$
The mean is $24$ . Find the mean absolute deviation: $12, 21, 21, 27, 27, 36$
The mean is $24$ . Find the mean absolute deviation: $15, 18, 24, 30, 33$
The mean is $15$ . Find the mean absolute deviation: $3, 3, 9, 21, 27, 27$
The mean is $17$ . Find the mean absolute deviation: $11, 14, 14, 20, 20, 23$
The mean is $17$ . Find the mean absolute deviation: $5, 5, 11, 23, 29, 29$
The mean is $21$ . Find the mean absolute deviation: $12, 15, 18, 24, 27, 30$
The mean is $16$ . Find the mean absolute deviation: $10, 13, 13, 19, 19, 22$



Sigma Prep · sigmaprep.io/worksheets Name Mean Absolute DeviationAnswer keyVersion 1 Date Period Find the mean absolute deviation. The mean is $15$ . Find the mean absolute deviation: $3, 3, 6, 24, 27, 27$ $11$ The mean is $21$ . Find the mean absolute deviation: $12, 15, 21, 27, 30$ $6$ The mean is $19$ . Find the mean absolute deviation: $13, 13, 16, 22, 25, 25$ $5$ The mean is $16$ . Find the mean absolute deviation: $4, 7, 10, 22, 25, 28$ $9$ The mean is $17$ . Find the mean absolute deviation: $5, 11, 14, 20, 23, 29$ $7$ The mean is $16$ . Find the mean absolute deviation: $7, 10, 13, 19, 22, 25$ $6$ The mean is $17$ . Find the mean absolute deviation: $5, 8, 11, 23, 26, 29$ $9$ The mean is $24$ . Find the mean absolute deviation: $12, 12, 21, 27, 36, 36$ $9$ The mean is $24$ . Find the mean absolute deviation: $15, 15, 21, 27, 33, 33$ $7$ The mean is $16$ . Find the mean absolute deviation: $4, 10, 13, 19, 22, 28$ $7$ The mean is $19$ . Find the mean absolute deviation: $10, 13, 19, 25, 28$ $6$ The mean is $20$ . Find the mean absolute deviation: $8, 8, 17, 23, 32, 32$ $9$ The mean is $20$ . Find the mean absolute deviation: $8, 14, 17, 23, 26, 32$ $7$ The mean is $24$ . Find the mean absolute deviation: $12, 21, 21, 27, 27, 36$ $6$ The mean is $24$ . Find the mean absolute deviation: $15, 18, 24, 30, 33$ $6$ The mean is $15$ . Find the mean absolute deviation: $3, 3, 9, 21, 27, 27$ $10$ The mean is $17$ . Find the mean absolute deviation: $11, 14, 14, 20, 20, 23$ $4$ The mean is $17$ . Find the mean absolute deviation: $5, 5, 11, 23, 29, 29$ $10$ The mean is $21$ . Find the mean absolute deviation: $12, 15, 18, 24, 27, 30$ $6$ The mean is $16$ . Find the mean absolute deviation: $10, 13, 13, 19, 19, 22$ $4$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mean Absolute DeviationAnswer keyVersion 1

Date Period

Find the mean absolute deviation.

The mean is $15$ . Find the mean absolute deviation: $3, 3, 6, 24, 27, 27$ $11$
The mean is $21$ . Find the mean absolute deviation: $12, 15, 21, 27, 30$ $6$
The mean is $19$ . Find the mean absolute deviation: $13, 13, 16, 22, 25, 25$ $5$
The mean is $16$ . Find the mean absolute deviation: $4, 7, 10, 22, 25, 28$ $9$
The mean is $17$ . Find the mean absolute deviation: $5, 11, 14, 20, 23, 29$ $7$
The mean is $16$ . Find the mean absolute deviation: $7, 10, 13, 19, 22, 25$ $6$
The mean is $17$ . Find the mean absolute deviation: $5, 8, 11, 23, 26, 29$ $9$
The mean is $24$ . Find the mean absolute deviation: $12, 12, 21, 27, 36, 36$ $9$
The mean is $24$ . Find the mean absolute deviation: $15, 15, 21, 27, 33, 33$ $7$
The mean is $16$ . Find the mean absolute deviation: $4, 10, 13, 19, 22, 28$ $7$
The mean is $19$ . Find the mean absolute deviation: $10, 13, 19, 25, 28$ $6$
The mean is $20$ . Find the mean absolute deviation: $8, 8, 17, 23, 32, 32$ $9$
The mean is $20$ . Find the mean absolute deviation: $8, 14, 17, 23, 26, 32$ $7$
The mean is $24$ . Find the mean absolute deviation: $12, 21, 21, 27, 27, 36$ $6$
The mean is $24$ . Find the mean absolute deviation: $15, 18, 24, 30, 33$ $6$
The mean is $15$ . Find the mean absolute deviation: $3, 3, 9, 21, 27, 27$ $10$
The mean is $17$ . Find the mean absolute deviation: $11, 14, 14, 20, 20, 23$ $4$
The mean is $17$ . Find the mean absolute deviation: $5, 5, 11, 23, 29, 29$ $10$
The mean is $21$ . Find the mean absolute deviation: $12, 15, 18, 24, 27, 30$ $6$
The mean is $16$ . Find the mean absolute deviation: $10, 13, 13, 19, 19, 22$ $4$

How to do these

The mean of $4, 6, 8$ is $6$ . Find the mean absolute deviation

The distances are 2, 0 and 2.
Their total is 4, over 3 values.

The answer is $\frac{4}{3}$ .

Where students go wrong

Leaving the minus signs in. The deviations always add to zero with their signs, so the absolute values are the whole point.

Also called MAD, average deviation or spread.

Questions about these worksheets

Yes. Every mean absolute deviation sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Statistics is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the mean absolute deviation questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Leaving the minus signs in. The deviations always add to zero with their signs, so the absolute values are the whole point.

Mean absolute deviation worksheet

Select your difficulty

Mean Absolute Deviation

Mean Absolute DeviationAnswer keyVersion 1

How to do these

Where students go wrong

Questions about these worksheets

Are these mean absolute deviation worksheets free?+

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