Worksheets · Algebra 1

Mean, median and mode worksheet for Algebra 1

In Algebra 1 mean, median and mode are used to compare data sets and to see how an outlier drags the mean but barely moves the median. Putting the data in order first prevents most median mistakes.

Also taught in Pre-Algebra and Statistics, each 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, Median, Mode and Range

Date Period

Answer each question.

  1. Find the mean

    Find the mean:
    6,  6,  8,  8,  8,  9,  11
  2. Find the mean:
    4,  5,  6,  6,  7,  8
  3. Find the mean: 6,  8,  9,  9,  13

  1. Find the median

    Find the median:
    3,  4,  4,  7,  8,  11,  12
  2. Find the median:
    12,  14,  14,  14,  14,  16
  3. Find the median: 7,  9,  11,  14,  14

  1. Find the mode

    Find the mode:
    4,  4,  4,  7,  8,  8,  21
  2. Find the mode: 12, 44, 1, 39, 39, 12
  3. Find the mode: 5,  5,  7,  8,  10
  4. Find the mode: 60, 44, 47, 31, 56, 28, 79, 77
  5. Find the mode:
    10,  10,  11,  14,  16,  17
  6. Find the mode: 7, 4, 62, 7, 4, 61, 54

  1. Find the range

    Find the range:
    4,  5,  6,  6,  9,  10,  16
  2. Find the range:
    10,  11,  11,  11,  12
  3. Find the range:
    10,  10,  11,  12,  14,  27

  1. Find a missing value from the mean

    A player scored 20,18 and 23 points in 3 games. How many points in the next game would make the mean 23?
  2. Sam saved $23,$13 and $15 in 3 weeks. How many dollars must Sam save next week to average $13 a week?
  3. Jo's first 3 quiz scores are 15,21 and 24. What must Jo score on the fourth quiz for a mean of 25?

  1. Choose the mean or the median

    Points scored in a game: 49, 57, 49, 50, 51. Which describes the center better, the mean or the median?
  2. Points scored in a game: 61, 55, 65, 65, 5, 55. Which describes the center better, the mean or the median?

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

Sigma Prep · sigmaprep.io/worksheets

Name

Mean, Median, Mode and RangeAnswer keyVersion 2

Date Period

Answer each question.

  1. Find the mean

    Find the mean:
    6,  6,  8,  8,  8,  9,  11    8
  2. Find the mean:
    4,  5,  6,  6,  7,  8    6
  3. Find the mean: 6,  8,  9,  9,  139

  1. Find the median

    Find the median:
    3,  4,  4,  7,  8,  11,  12    7
  2. Find the median:
    12,  14,  14,  14,  14,  16    14
  3. Find the median: 7,  9,  11,  14,  1411

  1. Find the mode

    Find the mode:
    4,  4,  4,  7,  8,  8,  21    4
  2. Find the mode: 12, 44, 1, 39, 39, 1212 and 39
  3. Find the mode: 5,  5,  7,  8,  105
  4. Find the mode: 60, 44, 47, 31, 56, 28, 79, 77No mode
  5. Find the mode:
    10,  10,  11,  14,  16,  17    10
  6. Find the mode: 7, 4, 62, 7, 4, 61, 544 and 7

  1. Find the range

    Find the range:
    4,  5,  6,  6,  9,  10,  16    12
  2. Find the range:
    10,  11,  11,  11,  12    2
  3. Find the range:
    10,  10,  11,  12,  14,  27    17

  1. Find a missing value from the mean

    A player scored 20,18 and 23 points in 3 games. How many points in the next game would make the mean 23?31
  2. Sam saved $23,$13 and $15 in 3 weeks. How many dollars must Sam save next week to average $13 a week?1
  3. Jo's first 3 quiz scores are 15,21 and 24. What must Jo score on the fourth quiz for a mean of 25?40

  1. Choose the mean or the median

    Points scored in a game: 49, 57, 49, 50, 51. Which describes the center better, the mean or the median?Mean: there are no outliers
  2. Points scored in a game: 61, 55, 65, 65, 5, 55. Which describes the center better, the mean or the median?Median: the outlier 5 pulls the mean down

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

How to do these

Minutes spent on homework: 4,7,7,9,43. Which describes the center better, the mean or the median?

  1. Mean: 70 / 5 = 14.
  2. Median: the middle of five ordered values, 7.
  3. The 43 pulls the mean far above every other value, so the median is the better center.

The answer is Median: the outlier 43 pulls the mean up.

Where students go wrong

Finding the median without sorting the data. The middle position only means something once the numbers are in order.

Also called measures of central tendency, average or mean median mode range.

What you can put on this worksheet

The mean
Find the mean:
7,  10,  10,  10,  14,  15 → 11
The median
Find the median:
7,  10,  10,  10,  14,  15 → 10
The mode
Find the mode:
7,  10,  10,  10,  14,  15 → 10
The range
Find the range:
7,  10,  10,  10,  14,  15 → 8
Decimal data
Find the range of these shoe sizes: 7.5, 10, 10.5, 10.5, 12, 9, 10 → 4.5
What removing an outlier does to the mean
The data set 7,  10,  10,  10,  14,  15,  36 has an outlier. By how much does the mean decrease when the outlier is removed? → 257
The mean after a value is added or removed
The average of a set of 6 numbers is 13. One of them, 23, is removed. Find the new mean. → 11
A missing value from the mean
The mean of 4 numbers is 17. Three of them are 19,24 and 7. What is the other number? → 18
Two modes, or none
Find the mode: 48, 72, 39, 67, 66, 48, 67 → 48 and 67
Mean or median?
Home prices, in thousands of dollars: 251, 271, 275, 259, 294, 1600. Which describes the center better, the mean or the median? → Median: the outlier 1600 pulls the mean up
Mean, median, range and IQR
Find the mean of the data in the graph. — rainy days: a bar graph of days for jan, feb, mar, apr, may → 3.8

Questions about these worksheets

Yes. Every mean, median and mode 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, median and mode 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 11: the mean, the median, the mode, the range, decimal data, what removing an outlier does to the mean, the mean after a value is added or removed, a missing value from the mean, two modes, or none, mean or median? and mean, median, range and iqr. Tick as many as you want and set how many of each, or let it spread them evenly.

Finding the median without sorting first. The middle of the list as written is not the median unless the list happens to already be in order.