Worksheets · Statistics

Box and whisker plot worksheet for Statistics

In Statistics a box plot is a summary for comparing distributions: the median shows the center, the interquartile range the spread of the middle half, and unequal whiskers or box halves hint at skew. Each section holds about 25% of the data, which is how percent questions are answered without the raw values.

Also taught in Pre-Algebra and Algebra 1, each at its own level and with its own examples.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Box and Whisker Plots

Date Period

Use the plot to answer each question.

  1. Read a box plot

    Find the median.02468101214
  2. Find the maximum.12345678910
  3. Find the minimum.24681012141618
  4. Find the minimum.02468101214
  5. Find the maximum.567891011121314
  6. Find the median.45678910111213
  7. Find the median.78910111213141516

  1. Estimate percents from a box plot

    Estimate the percent of the data that is between 9 and 13.6789101112131415
  2. Roughly what percent of the values in the box plot are at most 15?681012141618202224
  3. Use the box plot to estimate what percent of the data values are less than 5.12345678910
  4. Based on the plot, about what percent of the values are greater than 10?68101214161820
  5. What percent of the data, roughly, is above 12?78910111213141516
  6. About what percent of the data is at most 11?345678910111213
  7. About what percent of the data is less than 8?567891011

  1. Compare two box plots

    Scores from two classes on a history quiz are summarized below, Class A above Class B. Which class has the higher middle score (the median)?AB405060708090100
  2. The results of the reading quiz are shown for two classes, with Class A on top. In which class is the gap between the highest and lowest score larger? Compare the ranges.AB5560657075808590
  3. The box plots show scores on a spelling quiz for Class A and Class B. Which class has the greater range of scores?AB405060708090100
  4. After a geography test, the scores of Class A (top) and Class B (bottom) were drawn as box plots. Half of each class scored at or above its median. Which class has the higher median?AB505560657075808590
  5. Class A and Class B took the same math test. The box plots show their scores. Compare the medians. Which class scored higher in the middle?AB405060708090100
  6. Two classes took a geography test. Class A is the top plot and Class B the bottom. Which class’s scores spread across a wider range, from lowest to highest?AB556065707580859095

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

Sigma Prep · sigmaprep.io/worksheets

Name

Box and Whisker PlotsAnswer keyVersion 3

Date Period

Use the plot to answer each question.

  1. Read a box plot

    Find the median.024681012146
  2. Find the maximum.123456789109
  3. Find the minimum.246810121416185
  4. Find the minimum.024681012143
  5. Find the maximum.56789101112131413
  6. Find the median.4567891011121310
  7. Find the median.7891011121314151611

  1. Estimate percents from a box plot

    Estimate the percent of the data that is between 9 and 13.678910111213141550%
  2. Roughly what percent of the values in the box plot are at most 15?68101214161820222475%
  3. Use the box plot to estimate what percent of the data values are less than 5.1234567891025%
  4. Based on the plot, about what percent of the values are greater than 10?6810121416182050%
  5. What percent of the data, roughly, is above 12?7891011121314151625%
  6. About what percent of the data is at most 11?34567891011121375%
  7. About what percent of the data is less than 8?56789101150%

  1. Compare two box plots

    Scores from two classes on a history quiz are summarized below, Class A above Class B. Which class has the higher middle score (the median)?AB405060708090100Class A: median 80 vs 66
  2. The results of the reading quiz are shown for two classes, with Class A on top. In which class is the gap between the highest and lowest score larger? Compare the ranges.AB5560657075808590Class B: range 21 vs 18
  3. The box plots show scores on a spelling quiz for Class A and Class B. Which class has the greater range of scores?AB405060708090100Class B: range 30 vs 18
  4. After a geography test, the scores of Class A (top) and Class B (bottom) were drawn as box plots. Half of each class scored at or above its median. Which class has the higher median?AB505560657075808590Class A: median 73 vs 66
  5. Class A and Class B took the same math test. The box plots show their scores. Compare the medians. Which class scored higher in the middle?AB405060708090100Class B: median 80 vs 66
  6. Two classes took a geography test. Class A is the top plot and Class B the bottom. Which class’s scores spread across a wider range, from lowest to highest?AB556065707580859095Class A: range 28 vs 16

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

How to do these

Min 10, Q1=18, median 25, Q3=31, max 50. About what percent of the data is between 18 and 50?

  1. From Q1 to the maximum covers three of the four sections.
  2. Each section holds about 25%, so 3 × 25%.

The answer is 75%.

Where students go wrong

Thinking a longer section holds more data. A long whisker or a wide half of the box holds the same quarter of the values as a short one; it only means those values are more spread out.

Also called box plot or five number summary.

What you can put on this worksheet

Reading a box plot
Find the maximum. — a box plot from 3 to 10, median 8 → 10
The five-number summary from a list
Find the median:
7,  10,  10,  10,  14,  15. → 10
What percent of the data lies in a section
Use the box plot to estimate what percent of the data values are less than 9. — a box plot from 3 to 10, median 8 → 75%
Make a box plot from data
Make a box plot of the data: 22, 20, 13, 24, 17, 15, 19, 20, 26. For quartiles, split the data at the median, and leave the median out of both halves when the count is odd. → Min 13, Q1 16, median 20, Q3 23, max 26
Decimal data, or a longer list
Make a box plot of the data: 32, 12, 24, 27, 17, 40, 20, 36, 27, 40, 12, 29, 22, 29, 33, 23. For quartiles, split the data at the median, and leave the median out of both halves when the count is odd. → Min 12, Q1 21, median 27, Q3 32.5, max 40
Compare two box plots
These box plots compare how Class A and Class B did on a math test. Measure from the lowest score to the highest in each class. Which class has the larger range? → Class B: range 25 vs 22

Questions about these worksheets

Yes. Every box and whisker plot 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 box and whisker plot 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 two 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 6: reading a box plot, the five-number summary from a list, what percent of the data lies in a section, make a box plot from data, decimal data, or a longer list and compare two box plots. Tick as many as you want and set how many of each, or let it spread them evenly.

Reading the line inside the box as the mean. It is the median, and on a skewed set the two are not the same.