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The goal of this activity is for students to practice comparing two data sets that are both represented with a box plot. Students reason abstractly and quantitatively (MP2) when they use two box plots to interpret and compare the data sets. This prepares students for a later lesson because they will interpret their own data sets after they have collected the data and created representations of them.
Remind students to answer the questions using the information they can gather from the box plots. For example, students should not calculate the mean when asked about measures of center, because these representations do not show individual data points.
Here are the shoe sizes from two cohorts in the military.
Cohort A:
Cohort B:
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The purpose of this activity is to discuss how students used the graph to help analyze the data. Here are sample questions to promote class discussion:
to see where instructional routines fit in your journey.
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The goal of this activity is for students to combine the skills they have learned throughout the unit. Students create graphical representations of data, calculate important measures, and compare two data sets. This will prepare students for the accompanying Algebra 1 lesson when they will use a data set to create a graphical representation and interpret the data by answering questions.
Monitor for students who create each type of data display:
Here are the shoe sizes of some 9th-grade and 12th-grade students.
9th-grade shoe sizes:
6, 8, 6.5, 7.5, 7, 6.5, 9, 6, 8.5, 7.5, 8, 10, 11, 8, 9
12th-grade shoe sizes:
10, 9, 10.5, 8.5, 10, 9, 9.5, 8, 8, 11, 9, 9.5, 11, 10.5, 8.5
| mean | median | IQR | standard deviation | |
|---|---|---|---|---|
| 9th-grade shoe sizes |
||||
| 12th-grade shoe sizes |
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The goal of this discussion is to compare the same data represented in different data displays.
Display 2–3 displays from previously selected students for all to see. If time allows, invite students to briefly describe their display and why they chose the data display they used. Use Compare and Connect to help students compare, contrast, and connect the different displays. Here are some questions for discussion:
to access Student Response.
to access Student Response.
to access Student Response.