Worksheets · Statistics

Frequency table worksheet for Statistics

In Statistics a frequency table is often the first summary of survey data: build one from a raw list, add the frequencies for the total count, and keep running totals for cumulative frequency. The mean, median and mode all come from the same table without writing the data out.

Also taught in Pre-Algebra and Algebra 1, each 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

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 sleepFrequency5265728895
  2. How many data values are there in all?Quiz score (out of 10)Frequency5969768999
  3. How many data values are there in all?Books read this monthFrequency1222364354
  4. How many data values are there in all?Goals scoredFrequency0612273944
  1. Find the mean from a frequency table

    Find the mean.Hours of sleepFrequency5568798497
  2. Find the mean.Books read this monthFrequency1927374759
  3. Find the mean.Number of siblingsFrequency0714243646
  4. Find the mean.Quiz score (out of 10)Frequency5463768593
  1. Find the median from a frequency table

    Find the median.Number of siblingsFrequency0716283642
  2. Find the median.Books read this monthFrequency1322344358
  3. Find the median.Number of petsFrequency0913233642
  1. Find the mode from a frequency table

    Find the mode.Quiz score (out of 10)Frequency5469788597
  2. Find the mode.Number of petsFrequency0715243343
  3. Find the mode.Hours of sleepFrequency5762758293
  1. Make a frequency table

    Make a frequency table: 0, 3, 3, 0, 0, 2, 2, 2, 3, 4, 2, 1, 3
  2. Make a frequency table: 2, 5, 3, 4, 5, 2, 2, 3, 2, 6, 5, 4, 4, 5, 2, 3
  3. Make a frequency table: 4, 3, 2, 2, 4, 4, 3, 3, 1, 1, 4, 2, 3, 1
  1. Find relative or cumulative frequencies

    Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–49850–591360–691370–79480–8912
  2. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency60–69470–79680–8910
  3. Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency40–49150–591160–6938

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

Sigma Prep · sigmaprep.io/worksheets

Name

Frequency TablesAnswer keyVersion 3

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 sleepFrequency526572889522
  2. How many data values are there in all?Quiz score (out of 10)Frequency596976899942
  3. How many data values are there in all?Books read this monthFrequency122236435417
  4. How many data values are there in all?Goals scoredFrequency061227394428
  1. Find the mean from a frequency table

    Find the mean.Hours of sleepFrequency55687984977
  2. Find the mean.Books read this monthFrequency19273747593
  3. Find the mean.Number of siblingsFrequency07142436462
  4. Find the mean.Quiz score (out of 10)Frequency54637685937
  1. Find the median from a frequency table

    Find the median.Number of siblingsFrequency07162836422
  2. Find the median.Books read this monthFrequency13223443584
  3. Find the median.Number of petsFrequency09132336421
  1. Find the mode from a frequency table

    Find the mode.Quiz score (out of 10)Frequency54697885976
  2. Find the mode.Number of petsFrequency07152433430
  3. Find the mode.Hours of sleepFrequency57627582935
  1. Make a frequency table

    Make a frequency table: 0, 3, 3, 0, 0, 2, 2, 2, 3, 4, 2, 1, 3ValueFrequency0311243441
  2. Make a frequency table: 2, 5, 3, 4, 5, 2, 2, 3, 2, 6, 5, 4, 4, 5, 2, 3ValueFrequency2533435461
  3. Make a frequency table: 4, 3, 2, 2, 4, 4, 3, 3, 1, 1, 4, 2, 3, 1ValueFrequency13233444
  1. Find relative or cumulative frequencies

    Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–49850–591360–691370–79480–89128,  21,  34,  38,  50
  2. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency60–69470–79680–89104,  10,  20
  3. Find the relative frequency for each interval, top to bottom, as a decimal.ScoreFrequency40–49150–591160–69380.02,  0.22,  0.76

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

How to do these

Pets: 0 (5), 1 (8), 2 (4), 3 (3). Find the cumulative frequency for each value, top to bottom.

  1. Start with the first count: 5.
  2. Add each new count to the running total: 5 + 8 = 13, 13 + 4 = 17, 17 + 3 = 20.

The answer is 5,  13,  17,  20.

Where students go wrong

Dividing by the number of rows when finding the mean. Four rows whose frequencies add to 20 stand for 20 values, so the mean is the weighted total over 20, not over 4.

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.

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 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.