Worksheets · Pre-Algebra

Frequency table worksheet for Pre-Algebra

A frequency table is a data set written short: each row is a value and how many times it happened. To find the mean, multiply each value by its frequency, add those up, and divide by the total frequency, not by the number of rows.

Also taught in Algebra 1 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

Frequency Tables

Date Period

Use or make a frequency table to answer each question.

  1. Count the values in a frequency table

    How many data values are there in all?Books read this monthFrequency1226394954
  2. How many data values are there in all?Number of siblingsFrequency0719263645
  3. How many data values are there in all?Number of petsFrequency0713243548
  4. How many data values are there in all?Hours of sleepFrequency5866788798
  1. Find the mean from a frequency table

    Find the mean.Goals scoredFrequency0717283747
  2. Find the mean.Books read this monthFrequency1226324254
  3. Find the mean.Number of petsFrequency0415233544
  4. Find the mean.Hours of sleepFrequency5464748295
  1. Find the median from a frequency table

    Find the median.Quiz score (out of 10)Frequency5268798298
  2. Find the median.Goals scoredFrequency0416223344
  3. Find the median.Books read this monthFrequency1324324659
  1. Find the mode from a frequency table

    Find the mode.Books read this monthFrequency1624324257
  2. Find the mode.Hours of sleepFrequency5865758998
  3. Find the mode.Quiz score (out of 10)Frequency5669778796
  1. Make a frequency table

    Make a frequency table: 2, 4, 4, 5, 5, 3, 3, 3, 1, 4, 2, 4
  2. Make a frequency table: 3, 0, 3, 1, 1, 3, 3, 2, 2, 2, 3, 1, 0, 2, 4, 4
  3. Make a frequency table: 0, 3, 3, 2, 4, 4, 0, 0, 3, 3, 0, 1, 0, 0
  1. Find relative or cumulative frequencies

    Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–49150–591560–69370–796
  2. Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency50–59160–69170–7918
  3. Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency50–591160–69370–79180–89690–994

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

Sigma Prep · sigmaprep.io/worksheets

Name

Frequency TablesAnswer keyVersion 1

Date Period

Use or make a frequency table to answer each question.

  1. Count the values in a frequency table

    How many data values are there in all?Books read this monthFrequency122639495430
  2. How many data values are there in all?Number of siblingsFrequency071926364533
  3. How many data values are there in all?Number of petsFrequency071324354827
  4. How many data values are there in all?Hours of sleepFrequency586678879837
  1. Find the mean from a frequency table

    Find the mean.Goals scoredFrequency07172837472
  2. Find the mean.Books read this monthFrequency12263242543
  3. Find the mean.Number of petsFrequency04152335442
  4. Find the mean.Hours of sleepFrequency54647482957
  1. Find the median from a frequency table

    Find the median.Quiz score (out of 10)Frequency52687982987
  2. Find the median.Goals scoredFrequency04162233441
  3. Find the median.Books read this monthFrequency13243246594
  1. Find the mode from a frequency table

    Find the mode.Books read this monthFrequency16243242575
  2. Find the mode.Hours of sleepFrequency58657589988
  3. Find the mode.Quiz score (out of 10)Frequency56697787966
  1. Make a frequency table

    Make a frequency table: 2, 4, 4, 5, 5, 3, 3, 3, 1, 4, 2, 4ValueFrequency1122334452
  2. Make a frequency table: 3, 0, 3, 1, 1, 3, 3, 2, 2, 2, 3, 1, 0, 2, 4, 4ValueFrequency0213243542
  3. Make a frequency table: 0, 3, 3, 2, 4, 4, 0, 0, 3, 3, 0, 1, 0, 0ValueFrequency0611213442
  1. Find relative or cumulative frequencies

    Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–49150–591560–69370–7961,  16,  19,  25
  2. Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency50–59160–69170–79180.05,  0.05,  0.90
  3. Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency50–591160–69370–79180–89690–9940.44, 0.12, 0.04, 0.24, 0.16

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

How to do these

Values 1,2,3 with frequencies 2,5,3. Find the mean

  1. 1 times 2, plus 2 times 5, plus 3 times 3, is 21.
  2. There are 2 + 5 + 3 = 10 values.
  3. 21 divided by 10.

The answer is 2.1.

Where students go wrong

Averaging the values column. The mean of 1, 2 and 3 is 2, but that ignores that 2 happened five times; every value has to be counted as often as it occurred.

Also called frequency table, frequency tables, relative frequency or mean from a frequency table.

What you can put on this worksheet

How many values in all
How many data values are there in all?
Books read this monthFrequency14253143
→ 13
The mean
Find the mean.
Number of petsFrequency01112533
→ 2
The median
Find the median.
Books read this monthFrequency14253143
→ 2
The mode
Find the mode.
Books read this monthFrequency14253143
→ 2
Relative frequency as a percent
What percent of the data values are 8?
Hours of sleepFrequency52637283
→ 30%
Range and interquartile range
Find the interquartile range. For quartiles, split the data at the median, and leave the median out of both halves when the count is odd.
Hours of sleepFrequency52637082
→ 3
Make a frequency table
Make a frequency table: 4, 2, 3, 5, 5, 4, 4, 3, 2, 5 → ValueFrequency22324353
Relative and cumulative columns
Find the cumulative frequency for each interval, top to bottom.
ScoreFrequency60–69270–791080–89290–9911
→ 2,  12,  14,  25

Questions about these worksheets

Yes. Every frequency table 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.

Pre-Algebra is usually taken around 7th or 8th 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 frequency table 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 8: how many values in all, the mean, the median, the mode, relative frequency as a percent, range and interquartile range, make a frequency table and relative and cumulative columns. Tick as many as you want and set how many of each, or let it spread them evenly.

Averaging the values column. The mean of 1, 2 and 3 is 2, but that ignores that 2 happened five times; every value has to be counted as often as it occurred.