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

Lesson 2.42.4 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can make and read a box plot to summarize a data set — one step at a time, with support.

Remember2.4 Small Group · Group 1

To build a box plot, find the median, then the middle of each half, then the least and greatest values. A box plot shows five numbers: the least value, Q1, the median, Q3 and the greatest value.

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

  1. 1Complete each step, then write the final answer.

    Here are 7 values in order: 3, 5, 6, 8, 10, 12, 13. What is Q1, the first quartile?

    Show your work

    Hint The median is 8. Find the middle of the lower half: 3, 5, 6.

    Final answer:
  2. 2Complete each step, then write the final answer.

    Here are 9 values in order: 3, 4, 6, 7, 9, 11, 12, 14, 16. What is Q1?

    Show your work

    Hint The median is the 5th value. The lower half has 4 values.

    Final answer:
  3. 3Complete 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

    Hint Which of the five numbers splits the data in half?

    Final answer:
  4. 4Complete each step, then write the final answer.

    Here are 8 values in order: 5, 6, 8, 10, 13, 15, 16, 20. What is Q3?

    Show your work

    Hint With 8 values, each half has 4 values. Q3 is between the two middle values of the upper half.

    Final answer:

Explain your thinkingAfter you find the median, how do you find Q1 and Q3? Use the data 2, 3, 6, 8, 9, 11, 14 to explain.

Sentence starter First I find the median, which is ___. · Q1 is the middle of ___, and Q3 is the middle of ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help