Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.5

Lesson 2.4Comparing Box Plots

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can make and read a box plot to summarize a data set.

Remember2.4 · Part II

Box Plots & 5-Number Summary

  1. 5-Number Summary: Minimum, Lower Quartile (Q1), Median (Q2), Upper Quartile (Q3), Maximum
  2. Draw the Box: The box spans from Q1 to Q3 and contains the middle 50% of data
  3. Whiskers: Draw lines from the box out to the minimum and maximum

Words: Box Plot (Diagrama de caja)Median (Mediana)Quartile (Cuartil)Interquartile Range (Rango intercuartílico)Data distribution (Distribución de datos)

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

    On a box plot, what does the line inside the box represent?

    1. AThe median
    2. BThe mean
    3. CThe mode
    4. DThe range
    Show your work
Part 2Apply itreal-world problems
  1. 2Complete each step, then write the final answer.

    Here are 7 values in order: 1, 2, 4, 5, 7, 8, 9. What is Q3?

    Show your work
    Final answer:
  2. 3Complete each step, then write the final answer.

    A team's scores in order are 5, 7, 9, 12, 13, 16, 18, 20, 21, 25, 27. What is Q1?

    Show your work
    Final answer:
  3. 4Complete each step, then write the final answer.

    Eight values in order are 2, 4, 6, 9, 11, ?, 16, 20. Q3 is 15. Find the missing value.

    Show your work
    Final answer:
  4. 5Complete each step, then write the final answer.
    1014182226303438424650
    Dog weights in pounds

    A box plot of dog weights shows least 12, Q1 20, median 28, Q3 35 and greatest 50 pounds. Half of the dogs weigh less than how many pounds?

    Show your work
    Final answer:
  5. 6Complete each step, then write the final answer.

    A box plot of 60 plant heights shows least 5 cm, Q1 12 cm, median 18 cm, Q3 26 cm and greatest 40 cm. About how many plants are taller than 26 cm?

    Show your work
    Final answer:
  6. 7Complete each step, then write the final answer.

    Here are 10 values in order: 3, 5, 6, 8, 10, 13, 15, 16, 19, 24. A new value, 30, is added. What is the new Q3?

    Show your work
    Final answer:
  7. 8Circle the letter of the best answer. Show how you know.

    A box plot shows: Min = 10, Q1 = 15, Median = 20, Q3 = 28, Max = 35. What is the interquartile range (IQR)?

    1. A10
    2. B13
    3. C20
    4. D25
    Put the data in order
    Work
  8. 9Circle the letter of the best answer. Show how you know.

    What percentage of data falls between Q1 and Q3 on a box plot?

    1. A25%
    2. B50%
    3. C75%
    4. D100%
    Put the data in order
    Work
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