Worksheets · Algebra 1

Algebra 1 frequency table worksheet

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.

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Pick more than one for a sheet that mixes them.

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. How many data values are there in all?Books read this monthFrequency1226394954
  2. Find the mean.Goals scoredFrequency0717283747
  3. Find the median.Quiz score (out of 10)Frequency5268798298
  4. Find the mode.Books read this monthFrequency1624324257
  5. Make a frequency table: 2,  4,  4,  5,  5,  3,  3,  3,  1,  4,  2,  4
  6. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–49150–591560–69370–796
  7. How many data values are there in all?Number of siblingsFrequency0719263645
  8. Find the mean.Number of siblingsFrequency0612223445
  9. Find the median.Number of siblingsFrequency0713223746
  10. Find the mode.Quiz score (out of 10)Frequency5865758697
  11. Make a frequency table: 3,  1,  2,  4,  4,  3,  1,  4,  1,  4,  3,  1,  4,  4,  2
  12. Find the relative frequency for each interval, top to bottom.ScoreFrequency40–49450–59460–69370–799
  13. How many data values are there in all?Quiz score (out of 10)Frequency5462758394
  14. Find the mean.Quiz score (out of 10)Frequency5765738398
  15. Find the median.Number of petsFrequency0316223948
  16. Find the mode.Quiz score (out of 10)Frequency5664798397
  17. Make a frequency table: 3,  2,  1,  4,  1,  3,  1,  3,  3,  0,  3,  4,  1,  1,  4
  18. Find the relative frequency for each interval, top to bottom.ScoreFrequency60–69770–79980–89390–991
  19. How many data values are there in all?Number of petsFrequency0617273442
  20. Find the mean.Hours of sleepFrequency5864788896

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. How many data values are there in all?Books read this monthFrequency122639495430
  2. Find the mean.Goals scoredFrequency07172837472
  3. Find the median.Quiz score (out of 10)Frequency52687982987
  4. Find the mode.Books read this monthFrequency16243242575
  5. Make a frequency table: 2,  4,  4,  5,  5,  3,  3,  3,  1,  4,  2,  4ValueFrequency1122334452
  6. Find the cumulative frequency for each interval, top to bottom.ScoreFrequency40–49150–591560–69370–7961,  16,  19,  25
  7. How many data values are there in all?Number of siblingsFrequency071926364533
  8. Find the mean.Number of siblingsFrequency06122234452
  9. Find the median.Number of siblingsFrequency07132237463
  10. Find the mode.Quiz score (out of 10)Frequency58657586975
  11. Make a frequency table: 3,  1,  2,  4,  4,  3,  1,  4,  1,  4,  3,  1,  4,  4,  2ValueFrequency14223346
  12. Find the relative frequency for each interval, top to bottom.ScoreFrequency40–49450–59460–69370–7990.20,  0.20,  0.15,  0.45
  13. How many data values are there in all?Quiz score (out of 10)Frequency546275839418
  14. Find the mean.Quiz score (out of 10)Frequency57657383987
  15. Find the median.Number of petsFrequency03162239483
  16. Find the mode.Quiz score (out of 10)Frequency56647983977
  17. Make a frequency table: 3,  2,  1,  4,  1,  3,  1,  3,  3,  0,  3,  4,  1,  1,  4ValueFrequency0115213543
  18. Find the relative frequency for each interval, top to bottom.ScoreFrequency60–69770–79980–89390–9910.35,  0.45,  0.15,  0.05
  19. How many data values are there in all?Number of petsFrequency061727344226
  20. Find the mean.Hours of sleepFrequency58647888967

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%
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 7: how many values in all, the mean, the median, the mode, relative frequency as a percent, 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.