Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.3

Lesson 2.52.5 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can find the range and the interquartile range of a data set and use them to describe how spread out the data is, explain how I can tell, and judge a case I have not seen before.

Remember2.5 Small Group · Group 2

The range depends on the two end values, so one extreme value can stretch it. The IQR uses the middle half, so it stays steady. One extreme value can stretch the range a lot, but it barely moves the IQR.

Words: Range and Interquartile Range (Rango y rango intercuartílico)Range (Rango)Quartile (Cuartil)Interquartile range (Rango intercuartílico)Variability (Variabilidad)

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

    Team B's box plot shows: least 15, Q1 20, median 25, Q3 26, greatest 36. Team A has the same median and an IQR of 12. What is Team B's IQR?

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

    Find the IQR of 12, 14, 15, 17, 18, 20, 21, 45.

    Show your work
    Final answer:
  3. 3Circle the letter of the best answer. Show how you know.

    Nina ran a race 7 times. Her times in seconds were 31, 33, 34, 35, 36, 38 and 52. Which measure best describes how spread out most of her times are?

    1. AThe IQR, 5 seconds
    2. BThe range, 21 seconds
    3. CThe IQR, 21 seconds
    4. DThe range, 5 seconds
    Show your work
  4. 4Complete each step, then write the final answer.

    Eight values in order are 3, ?, 8, 10, 12, 15, 17, 20. The IQR is 10. Find the missing value.

    Show your work
    Final answer:

Explain your thinkingA coach says the range shows how close together most players' scores are. Do you agree? Use the player who scored 25 to explain.

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