Worksheets · Algebra 1

Frequency table worksheet for Algebra 1

Algebra 1 treats a frequency table as a short way of writing a list and asks for the same measures as any data set: the count, mean, median and mode. You also make a table from a list and fill in relative and cumulative frequency columns. The work is keeping track of positions, since one row can stand for many values.

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

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?Hours of sleepFrequency5464768997
  2. How many data values are there in all?Goals scoredFrequency0812273748
  3. How many data values are there in all?Number of petsFrequency0318283948
  4. How many data values are there in all?Quiz score (out of 10)Frequency5764768998
  1. Find the mean from a frequency table

    Find the mean.Quiz score (out of 10)Frequency5364748692
  2. Find the mean.Books read this monthFrequency1525384356
  3. Find the mean.Hours of sleepFrequency5865748797
  4. Find the mean.Number of petsFrequency0816263847
  1. Find the median from a frequency table

    Find the median.Number of siblingsFrequency0813283545
  2. Find the median.Quiz score (out of 10)Frequency5362738796
  3. Find the median.Hours of sleepFrequency5969748894
  1. Find the mode from a frequency table

    Find the mode.Number of siblingsFrequency0712233749
  2. Find the mode.Hours of sleepFrequency5563738398
  3. Find the mode.Goals scoredFrequency0218263647
  1. Make a frequency table

    Make a frequency table: 6, 6, 6, 2, 4, 2, 4, 4, 4, 4, 4, 5
  2. Make a frequency table: 2, 2, 4, 5, 5, 5, 1, 3, 5, 4, 1, 3, 3, 5, 1
  3. Make a frequency table: 3, 2, 5, 6, 3, 5, 4, 4, 3, 6, 3, 6, 3
  1. Find relative or cumulative frequencies

    Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency50–591460–693070–796
  2. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency60–69270–791180–89690–992100–1094
  3. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–491150–59760–692

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

Sigma Prep · sigmaprep.io/worksheets

Name

Frequency TablesAnswer keyVersion 2

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?Hours of sleepFrequency546476899730
  2. How many data values are there in all?Goals scoredFrequency081227374832
  3. How many data values are there in all?Number of petsFrequency031828394836
  4. How many data values are there in all?Quiz score (out of 10)Frequency576476899834
  1. Find the mean from a frequency table

    Find the mean.Quiz score (out of 10)Frequency53647486927
  2. Find the mean.Books read this monthFrequency15253843563
  3. Find the mean.Hours of sleepFrequency58657487977
  4. Find the mean.Number of petsFrequency08162638472
  1. Find the median from a frequency table

    Find the median.Number of siblingsFrequency08132835452
  2. Find the median.Quiz score (out of 10)Frequency53627387968
  3. Find the median.Hours of sleepFrequency59697488946
  1. Find the mode from a frequency table

    Find the mode.Number of siblingsFrequency07122337494
  2. Find the mode.Hours of sleepFrequency55637383989
  3. Find the mode.Goals scoredFrequency02182636471
  1. Make a frequency table

    Make a frequency table: 6, 6, 6, 2, 4, 2, 4, 4, 4, 4, 4, 5ValueFrequency2230465163
  2. Make a frequency table: 2, 2, 4, 5, 5, 5, 1, 3, 5, 4, 1, 3, 3, 5, 1ValueFrequency1322334255
  3. Make a frequency table: 3, 2, 5, 6, 3, 5, 4, 4, 3, 6, 3, 6, 3ValueFrequency2135425263
  1. Find relative or cumulative frequencies

    Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency50–591460–693070–7960.28,  0.60,  0.12
  2. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency60–69270–791180–89690–992100–10942,  13,  19,  21,  25
  3. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–491150–59760–69211,  18,  20

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

How to do these

Values 1,2,3,4 with frequencies 3,4,6,2. Find the median.

  1. There are 3 + 4 + 6 + 2 = 15 values, so the median is the 8th.
  2. Running totals: 3 values up to 1, 7 up to 2, 13 up to 3.
  3. The 8th value falls in the row for 3.

The answer is 3.

Where students go wrong

Taking the middle row of the table as the median. The median is the middle value of all the data, so add up the frequencies to find which row holds that position.

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.

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 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.