Worksheets · Algebra 1

Mean absolute deviation worksheet for Algebra 1

Algebra 1 uses mean absolute deviation to measure spread and then to compare two groups: the difference in their means divided by the MAD says how far apart the groups are compared with their own variation. Many answers are rounded to the nearest hundredth.

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

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Pick more than one for a sheet that mixes them.

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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:
    12,  12,  18,  18,  21,  27.
  2. Find the mean absolute deviation:
    14,  20,  20,  29,  32.
  3. Find the mean absolute deviation:
    11,  14,  20,  20,  23,  32.
  4. Find the mean absolute deviation:
    10,  10,  16,  25,  25,  28.
  5. Find the mean absolute deviation:
    12,  15,  21,  27,  33,  36.
  6. Find the mean absolute deviation:
    17,  20,  23,  23,  26,  29.
  7. Find the mean absolute deviation:
    12,  12,  18,  33,  33,  36.

  1. Find the MAD to the nearest hundredth

    Find the mean absolute deviation, to the nearest hundredth:
    34,  35,  38,  40,  43,  43. Do not round the mean before you use it.
  2. Find the mean absolute deviation, to the nearest hundredth:
    34,  35,  36,  37,  41,  41,  42. Do not round the mean before you use it.
  3. Find the mean absolute deviation, to the nearest hundredth:
    31,  31,  33,  34,  39,  40,  42. Do not round the mean before you use it.
  4. Find the mean absolute deviation, to the nearest hundredth:
    34,  34,  36,  37,  38,  45. Do not round the mean before you use it.
  5. Find the mean absolute deviation, to the nearest hundredth:
    40,  40,  40,  44,  51,  51,  52. Do not round the mean before you use it.
  6. Find the mean absolute deviation, to the nearest hundredth:
    38,  39,  40,  41,  46,  47. Do not round the mean before you use it.
  7. Find the mean absolute deviation, to the nearest hundredth:
    7,  7,  8,  9,  14,  16. Do not round the mean before you use it.

  1. Compare two means in MADs

    The heights, in inches: Team A has mean 79 and MAD 6; Team B has mean 94 and MAD 6. How many MADs apart are the two means?
  2. The pumpkin weights, in pounds: Farm A has mean 63 and MAD 4; Farm B has mean 69 and MAD 4. How many MADs apart are the two means?
  3. The test scores: Class A has mean 49 and MAD 6; Class B has mean 76 and MAD 6. How many MADs apart are the two means?
  4. The test scores: Class A has mean 59 and MAD 4; Class B has mean 73 and MAD 4. How many MADs apart are the two means?
  5. The pumpkin weights, in pounds: Farm A has mean 47 and MAD 2; Farm B has mean 50 and MAD 2. How many MADs apart are the two means?
  6. The heights, in inches: Team A has mean 64 and MAD 4; Team B has mean 82 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 2

Date Period

Answer each question.

  1. Find the mean absolute deviation

    Find the mean absolute deviation:
    12,  12,  18,  18,  21,  27.    4
  2. Find the mean absolute deviation:
    14,  20,  20,  29,  32.    6
  3. Find the mean absolute deviation:
    11,  14,  20,  20,  23,  32.    5
  4. Find the mean absolute deviation:
    10,  10,  16,  25,  25,  28.    7
  5. Find the mean absolute deviation:
    12,  15,  21,  27,  33,  36.    8
  6. Find the mean absolute deviation:
    17,  20,  23,  23,  26,  29.    3
  7. Find the mean absolute deviation:
    12,  12,  18,  33,  33,  36.    10

  1. Find the MAD to the nearest hundredth

    Find the mean absolute deviation, to the nearest hundredth:
    34,  35,  38,  40,  43,  43. Do not round the mean before you use it.    3.17
  2. Find the mean absolute deviation, to the nearest hundredth:
    34,  35,  36,  37,  41,  41,  42. Do not round the mean before you use it.    2.86
  3. Find the mean absolute deviation, to the nearest hundredth:
    31,  31,  33,  34,  39,  40,  42. Do not round the mean before you use it.    3.96
  4. Find the mean absolute deviation, to the nearest hundredth:
    34,  34,  36,  37,  38,  45. Do not round the mean before you use it.    2.78
  5. Find the mean absolute deviation, to the nearest hundredth:
    40,  40,  40,  44,  51,  51,  52. Do not round the mean before you use it.    5.06
  6. Find the mean absolute deviation, to the nearest hundredth:
    38,  39,  40,  41,  46,  47. Do not round the mean before you use it.    3.11
  7. Find the mean absolute deviation, to the nearest hundredth:
    7,  7,  8,  9,  14,  16. Do not round the mean before you use it.    3.22

  1. Compare two means in MADs

    The heights, in inches: Team A has mean 79 and MAD 6; Team B has mean 94 and MAD 6. How many MADs apart are the two means?2.5
  2. The pumpkin weights, in pounds: Farm A has mean 63 and MAD 4; Farm B has mean 69 and MAD 4. How many MADs apart are the two means?1.5
  3. The test scores: Class A has mean 49 and MAD 6; Class B has mean 76 and MAD 6. How many MADs apart are the two means?4.5
  4. The test scores: Class A has mean 59 and MAD 4; Class B has mean 73 and MAD 4. How many MADs apart are the two means?3.5
  5. The pumpkin weights, in pounds: Farm A has mean 47 and MAD 2; Farm B has mean 50 and MAD 2. How many MADs apart are the two means?1.5
  6. The heights, in inches: Team A has mean 64 and MAD 4; Team B has mean 82 and MAD 4. How many MADs apart are the two means?4.5

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

How to do these

Find the mean absolute deviation: 3, 7, 8, 10, 12

  1. The mean is 40 ÷ 5 = 8.
  2. Distances from 8: 5, 1, 0, 2 and 4, which add to 12.
  3. MAD = 12 ÷ 5.

The answer is 2.4.

Where students go wrong

Dividing the total distance by one less than the number of values. Mean absolute deviation divides by the count itself, so 12 over 5 values is 2.4, not 3.

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.

Algebra 1 is usually taken around 8th or 9th 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.