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Box plots and histograms worksheet

Grade 6 math, Common Core 6.SP.B.4. 6 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

By the StudyWiz teamUpdated October 23, 2026How we write our pages

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Box plots and histograms

Grade 6 math, Common Core 6.SP.B.4

Answer each question about the data.

  1. 1.
    Find the five-number summary: 61, 50, 51, 53, 55, 76, 71
  2. 2.
    Draw a box plot of the data on the number line: 43, 33, 26, 30, 34, 25, 37, 38, 42
    253035404550
    Pages read
  3. 3.
    What is the median? What is the interquartile range (IQR)?
    2530354045505560
    Points scored
  4. 4.
    What is the range of the data? About what fraction of the data is greater than Q3?
    0246810121416
    Pages read
  5. 5.
    How many students did 30 or more minutes of homework?
    024681010–1920–2930–3940–49minutes of homeworkstudents
  6. 6.
    How many students took the test? Which interval has the most?
    024681050–5960–6970–7980–89test scorestudents
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Box plots and histograms

Grade 6 math. Each answer has a few worked steps, to help check the method as well as the answer.

  1. 1. Min 50, Q1 51, median 55, Q3 71, max 76

    In order: 50, 51, 53, 55, 61, 71, 76

  2. 2. Min 25, Q1 28, median 34, Q3 40, max 43. The box goes from Q1 to Q3 with a line at the median, and the whiskers reach the min and max.

    In order: 25, 26, 30, 33, 34, 37, 38, 42, 43

  3. 3. Median 45, IQR 15

    IQR = Q3 − Q1 = 50 − 35

  4. 4. Range 12. About 14 of the data.

    Range = max − min = 14 − 2Each part of a box plot holds about a quarter of the data

  5. 5. 14

    9 + 5 = 14

  6. 6. 22. The 60–69 interval.

    6 + 9 + 4 + 3 = 22

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About box plots and histograms

A box plot shows five numbers: the minimum, the first quartile (Q1), the median, the third quartile (Q3) and the maximum. The box covers the middle half of the data, and its width is the interquartile range: IQR = Q3 − Q1. A histogram groups data into equal intervals and shows how many values fall in each.

Worked example 1

Find the five-number summary: 72, 75, 55, 74, 80, 70, 77, 79, 65
  1. Step 1.In order: 55, 65, 70, 72, 74, 75, 77, 79, 80

Answer: Min 55, Q1 67.5, median 74, Q3 78, max 80

Worked example 2

Draw a box plot of the data on the number line: 67, 55, 60, 51, 62, 49, 64, 40, 54
40455055606570
Jump distance (cm)
  1. Step 1.In order: 40, 49, 51, 54, 55, 60, 62, 64, 67

Answer: Min 40, Q1 50, median 55, Q3 63, max 67. The box goes from Q1 to Q3 with a line at the median, and the whiskers reach the min and max.

Worked example 3

How many students did 20 or more minutes of homework?
0246810120–910–1920–2930–39minutes of homeworkstudents
  1. Step 1.10 + 3 = 13

Answer: 13

Watch out for

  • Put the data in order before finding the quartiles.
  • Q1 is the median of the lower half and Q3 is the median of the upper half.
  • In a histogram, each bar counts values in an interval, not one single value.

Practice box plots and histograms online

On StudyWiz, your kid can practice box plots and histograms with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

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