Worksheets · Statistics

Percentiles and percentile rank worksheet

A percentile rank is the percent of a group that scored below a value. Scoring at the 80th percentile means scoring higher than about 80% of the group, not scoring 80% on the test.

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

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Name

Percentile Rank

Date Period

Answer each question.

  1. Sam scored at the 95th percentile of 400 students. About how many students scored below Sam?
  2. Leo scored at the 70th percentile of 500 students. About how many students scored below Leo?
  3. In a group of 25, 12 scored lower than Diego. What is Diego's percentile rank?
  4. Kai scored at the 15th percentile of 300 students. About how many students scored below Kai?
  5. Diego scored at the 75th percentile of 300 students. About how many students scored below Diego?
  6. Priya scored at the 45th percentile of 200 students. About how many students scored below Priya?
  7. In a group of 25, 5 scored lower than Ava. What is Ava's percentile rank?
  8. In a group of 50, 10 scored lower than Sam. What is Sam's percentile rank?
  9. Sam scored at the 95th percentile of 500 students. About how many students scored below Sam?
  10. In a group of 20, 7 scored lower than Kai. What is Kai's percentile rank?
  11. Diego scored at the 70th percentile of 200 students. About how many students scored below Diego?
  12. Ava scored at the 5th percentile of 300 students. About how many students scored below Ava?
  13. In a group of 20, 19 scored lower than Ava. What is Ava's percentile rank?
  14. Sam scored at the 65th percentile of 300 students. About how many students scored below Sam?
  15. In a group of 40, 36 scored lower than Leo. What is Leo's percentile rank?
  16. In a group of 20, 1 scored lower than Noor. What is Noor's percentile rank?
  17. Noor scored at the 50th percentile of 800 students. About how many students scored below Noor?
  18. In a group of 20, 13 scored lower than Leo. What is Leo's percentile rank?
  19. Leo scored at the 20th percentile of 800 students. About how many students scored below Leo?
  20. Diego scored at the 35th percentile of 400 students. About how many students scored below Diego?

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

Sigma Prep · sigmaprep.io/worksheets

Name

Percentile RankAnswer keyVersion 1

Date Period

Answer each question.

  1. Sam scored at the 95th percentile of 400 students. About how many students scored below Sam?380
  2. Leo scored at the 70th percentile of 500 students. About how many students scored below Leo?350
  3. In a group of 25, 12 scored lower than Diego. What is Diego's percentile rank?48th percentile
  4. Kai scored at the 15th percentile of 300 students. About how many students scored below Kai?45
  5. Diego scored at the 75th percentile of 300 students. About how many students scored below Diego?225
  6. Priya scored at the 45th percentile of 200 students. About how many students scored below Priya?90
  7. In a group of 25, 5 scored lower than Ava. What is Ava's percentile rank?20th percentile
  8. In a group of 50, 10 scored lower than Sam. What is Sam's percentile rank?20th percentile
  9. Sam scored at the 95th percentile of 500 students. About how many students scored below Sam?475
  10. In a group of 20, 7 scored lower than Kai. What is Kai's percentile rank?35th percentile
  11. Diego scored at the 70th percentile of 200 students. About how many students scored below Diego?140
  12. Ava scored at the 5th percentile of 300 students. About how many students scored below Ava?15
  13. In a group of 20, 19 scored lower than Ava. What is Ava's percentile rank?95th percentile
  14. Sam scored at the 65th percentile of 300 students. About how many students scored below Sam?195
  15. In a group of 40, 36 scored lower than Leo. What is Leo's percentile rank?90th percentile
  16. In a group of 20, 1 scored lower than Noor. What is Noor's percentile rank?5th percentile
  17. Noor scored at the 50th percentile of 800 students. About how many students scored below Noor?400
  18. In a group of 20, 13 scored lower than Leo. What is Leo's percentile rank?65th percentile
  19. Leo scored at the 20th percentile of 800 students. About how many students scored below Leo?160
  20. Diego scored at the 35th percentile of 400 students. About how many students scored below Diego?140

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

How to do these

In a group of 25, 20 scored lower than Maya. What is her percentile rank?

  1. 20 out of 25 is 0.8.
  2. As a percent, 80.

The answer is 80th percentile.

Where students go wrong

Reading the percentile as the score. A student at the 80th percentile may have scored 62 out of 100; the percentile only says where that score sits in the group.

Also called percentiles, percentile rank or what percentile.

Questions about these worksheets

Yes. Every percentiles and percentile rank 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 percentiles and percentile rank 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.

Reading the percentile as the score. A student at the 80th percentile may have scored 62 out of 100; the percentile only says where that score sits in the group.