Lesson 11: Comparing and Contrasting Data Distributions
About this lesson
The mathematical purpose of this lesson is to compare data sets with different measures of variability and to interpret data sets with greater MADs or IQRs as having greater variability. Students make connections between different data displays and measures of center and measures of variability. This lesson builds on previous work by using what students learned when creating data displays and determining which measure of center is appropriate. In upcoming lessons, students will use their understanding of MAD to figure out the meaning of standard deviation. When students match data displays with descriptions of shape, measures of center, or measures of variability they are engaging in MP2 because they are having to makes sense of the data display and the corresponding description or measure. When students participate in a math talk about finding the mean, they have an opportunity to notice and make use of the symmetric structure (MP7) of the values to determine the mean. Additionally, students need to be precise in their word choice and use of language (MP6). In the take turns activity students trade roles explaining their thinking and listening, providing opportunities to explain their reasoning and critique the reasoning of others (MP3).
Lesson overview
 11.1 Warmup: Math Talk: Mean (5 minutes)
 11.2 Activity: Describing Data Distributions (15 minutes)

11.3 Activity: Visual Variability and Statistics (10 minutes)
 Includes "Are you Ready for More?" extension problem
 Lesson Synthesis
 11.4 Cooldown: Which Menu? (5 minutes)
Learning goals:
 Interpret (orally) a data set with greater MAD or IQR as having greater variability.
Learning goals (student facing):
 Let’s investigate variability using data displays and summary statistics.
Learning targets (student facing):
 I can arrange data sets in order of variability given graphic representations.
Required materials:
 Preprinted slips, cut from copies of the blackline master
Required preparation:
 Print and cut up slips from the blackline master. Prepare 1 copy for every 2 students.
Standards:
 This lesson builds on the standard: CCSS.HSSID.A.1MS.SID.1MO.A1.DS.A.1
 This lesson builds towards the standard: CCSS.HSSID.A.3MS.SID.3MO.A1.DS.A.3
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