Worksheets · Statistics

Mean absolute deviation worksheet for Statistics

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.

Also taught in Algebra 1, at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mean Absolute Deviation

Date Period

Answer each question.

  1. Find the mean absolute deviation

    Find the mean absolute deviation:
    10,  16,  19,  19,  19,  31.
  2. Find the mean absolute deviation: 7,  10,  19,  22,  22.
  3. Find the mean absolute deviation:
    7,  10,  16,  16,  22,  25.
  4. Find the mean absolute deviation:
    10,  10,  16,  22,  25,  31.
  5. Find the mean absolute deviation:
    5,  8,  14,  17,  29,  29.
  6. Find the mean absolute deviation:
    15,  24,  24,  24,  24,  33.
  7. Find the mean absolute deviation:
    8,  8,  17,  23,  32,  32.

  1. Find the MAD to the nearest hundredth

    Find the mean absolute deviation, to the nearest hundredth:
    22,  23,  27,  27,  28,  30. Do not round the mean before you use it.
  2. Find the mean absolute deviation, to the nearest hundredth:
    39,  40,  48,  49,  50,  51,  51. Do not round the mean before you use it.
  3. Find the mean absolute deviation, to the nearest hundredth:
    9,  10,  15,  17,  17,  19. Do not round the mean before you use it.
  4. Find the mean absolute deviation, to the nearest hundredth:
    9,  10,  11,  12,  15,  16,  18. Do not round the mean before you use it.
  5. Find the mean absolute deviation, to the nearest hundredth:
    36,  36,  38,  38,  41,  43,  47. Do not round the mean before you use it.
  6. Find the mean absolute deviation, to the nearest hundredth:
    23,  25,  26,  28,  32,  33. Do not round the mean before you use it.
  7. Find the mean absolute deviation, to the nearest hundredth:
    33,  36,  36,  38,  38,  40,  41. Do not round the mean before you use it.

  1. Compare two means in MADs

    The pumpkin weights, in pounds: Farm A has mean 58 and MAD 2; Farm B has mean 65 and MAD 2. How many MADs apart are the two means?
  2. The test scores: Class A has mean 53 and MAD 2; Class B has mean 58 and MAD 2. How many MADs apart are the two means?
  3. The heights, in inches: Team A has mean 70 and MAD 2; Team B has mean 73 and MAD 2. How many MADs apart are the two means?
  4. The pumpkin weights, in pounds: Farm A has mean 54 and MAD 6; Farm B has mean 81 and MAD 6. How many MADs apart are the two means?
  5. The test scores: Class A has mean 50 and MAD 2; Class B has mean 59 and MAD 2. How many MADs apart are the two means?
  6. The heights, in inches: Team A has mean 66 and MAD 4; Team B has mean 72 and MAD 4. How many MADs apart are the two means?

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mean Absolute DeviationAnswer keyVersion 1

Date Period

Answer each question.

  1. Find the mean absolute deviation

    Find the mean absolute deviation:
    10,  16,  19,  19,  19,  31.    4
  2. Find the mean absolute deviation: 7,  10,  19,  22,  22.6
  3. Find the mean absolute deviation:
    7,  10,  16,  16,  22,  25.    5
  4. Find the mean absolute deviation:
    10,  10,  16,  22,  25,  31.    7
  5. Find the mean absolute deviation:
    5,  8,  14,  17,  29,  29.    8
  6. Find the mean absolute deviation:
    15,  24,  24,  24,  24,  33.    3
  7. Find the mean absolute deviation:
    8,  8,  17,  23,  32,  32.    9

  1. Find the MAD to the nearest hundredth

    Find the mean absolute deviation, to the nearest hundredth:
    22,  23,  27,  27,  28,  30. Do not round the mean before you use it.    2.44
  2. Find the mean absolute deviation, to the nearest hundredth:
    39,  40,  48,  49,  50,  51,  51. Do not round the mean before you use it.    4.20
  3. Find the mean absolute deviation, to the nearest hundredth:
    9,  10,  15,  17,  17,  19. Do not round the mean before you use it.    3.33
  4. Find the mean absolute deviation, to the nearest hundredth:
    9,  10,  11,  12,  15,  16,  18. Do not round the mean before you use it.    2.86
  5. Find the mean absolute deviation, to the nearest hundredth:
    36,  36,  38,  38,  41,  43,  47. Do not round the mean before you use it.    3.27
  6. Find the mean absolute deviation, to the nearest hundredth:
    23,  25,  26,  28,  32,  33. Do not round the mean before you use it.    3.17
  7. Find the mean absolute deviation, to the nearest hundredth:
    33,  36,  36,  38,  38,  40,  41. Do not round the mean before you use it.    2.08

  1. Compare two means in MADs

    The pumpkin weights, in pounds: Farm A has mean 58 and MAD 2; Farm B has mean 65 and MAD 2. How many MADs apart are the two means?3.5
  2. The test scores: Class A has mean 53 and MAD 2; Class B has mean 58 and MAD 2. How many MADs apart are the two means?2.5
  3. The heights, in inches: Team A has mean 70 and MAD 2; Team B has mean 73 and MAD 2. How many MADs apart are the two means?1.5
  4. The pumpkin weights, in pounds: Farm A has mean 54 and MAD 6; Farm B has mean 81 and MAD 6. How many MADs apart are the two means?4.5
  5. The test scores: Class A has mean 50 and MAD 2; Class B has mean 59 and MAD 2. How many MADs apart are the two means?4.5
  6. The heights, in inches: Team A has mean 66 and MAD 4; Team B has mean 72 and MAD 4. How many MADs apart are the two means?1.5

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

The mean of 4,  6,  8 is 6. Find the mean absolute deviation, to the nearest hundredth

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

The answer is 1.33.

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.

What you can put on this worksheet

Mean absolute deviation
The mean is 14. Find the mean absolute deviation: 8,  12,  16,  20. → 4
Rounded to a hundredth
Find the mean absolute deviation, to the nearest hundredth:
38,  41,  44,  44,  44. Do not round the mean before you use it. → 2.16
Comparing two groups
The test scores: Class A has mean 43 and MAD 4; Class B has mean 59 and MAD 4. How many MADs apart are the two means? → 4

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.

You pick from 3: mean absolute deviation, rounded to a hundredth and comparing two groups. Tick as many as you want and set how many of each, or let it spread them evenly.

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