The mathematical purpose of this lesson is for students to interpret distributions and match them to situations. Previously, students compared data sets by calculating measures of center and measures of variability. In the associated Algebra 1 lesson, students compare and contrast situations using measures of center and measures of variability. In this lesson, students use data distribution shapes to inform their decisions about which data set represents the best scenario. By understanding how the shape of a distribution is connected to a situation, students are more prepared to compare similar situations. 

The estimation Warm-up allows students the opportunity to make sense of problems (MP1), critique the reasoning of others (MP3), and model with mathematics (MP4). Students reason abstractly and quantitatively (MP2) when they connect distribution shapes to situations. Students construct a viable argument (MP3) when they explain their reasoning for selecting the best situation, given data.