Reflection: Discourse and Questioning Box Plots and Interquartile Range - Section 3: Measures of Center vs. Measures of Variability


After we went through and calculated all of the measures for Thaisha and Thaima, I asked, “How can you tell which IQR is higher?”  Students participated in a Think Pair Share.  Students shared that they could tell that the IQR for Thaima was higher since the rectangle was longer. 

My next question was, “What does that tell us?”  A student shared that it meant that the middle 50% of Thaima’s earnings had a wider range than the middle 50% of Thaisha’s earnings.  At this point in the lesson, some students were still unable to explain this fact.  I continued to ask this question throughout the lesson to ensure that students could not only define and calculate the IQR but that they also understood what it told us about the data set.

  How can you tell which IQR is higher?
  Discourse and Questioning: How can you tell which IQR is higher?
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Box Plots and Interquartile Range

Unit 9: Statistics
Lesson 15 of 22

Objective: SWBAT: • Identify and label the minimum, maximum, lower quartile, upper quartile, and median of a data set and box plot. • Define and identify interquartile range. • Analyze and compare box plots.

Big Idea: What is interquartile range? What does the IQR tell us about a data set? Students work on creating and comparing box plots.

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  50 minutes
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