Students will extend their understanding of calculating the center, spread, and shape of a given data set and/or a given data display to represent the data set themselves using dot plots, histograms, and boxplots. Students will also continue describing the data set based on its center (median and/or mean), variability (interquartile range and/or mean absolute deviation), overall pattern, and any apparent deviations from the overall pattern. In this unit, in this unit students will be expected to use their analytical skills to decide which measure of center and variability is most appropriate for describing the data set. Finally, in this unit students will be expected to be able to determine the number of observations and describe how the data was measured, including the units of measure.
Key Concepts:
 Measures of center and variability can be used to describe patterns and striking deviations from the overall pattern of the data. (Lesson 1)
 Representing and analyzing data includes reporting information about how data were collected, and how measures of center and spread were calculated so that others would be able to reach the same conclusion if they had collected the same data. (Lesson 4)
 Reporting results of data analysis includes not only calculations, but also a display of the data in a way that is informative and not misleading. (Lesson 7)
Prior Knowledge Needed:
 Understanding data distributions; (Grade 6, Unit 12; 6.SP.13)
 Solving problems with fractional qualities; (Grade 5, Unit 12; 5.MD.B.2)
 Investigating patterns in numbers and operations; (Grade 3, Unit 8; 3.MD.3)
 Generating and representing measurement data to solve problems; (Grade 2, Unit 9; 2.MD.910)
Units on the Horizon:
 Sampling, inferences, and comparing populations; (Grade 7, Unit 10; 7.SP.14)
 Patterns of association in bivariate data; (Grade 8, Unit 8; 8.SP.14)
Lessons

Lesson objective: Understand that measures of center and variability can be used together to describe and analyze a data set. Students bring prior knowledge of what measures of center and variability represent from 6.SP.3. This prior knowledge is extend...

Lesson objective: Describe data using measures of center, spread, and shape. This lesson helps to build fluency with describing data sets. Box plots, dot plots, and histograms are used here because they support visualization of center, spread, and shape...

Lesson objective: Apply knowledge of center and spread to solve problems using a data set. This lesson provides an opportunity for students to apply their knowledge and understanding of describing center and spread to a reallife situation. Students are...

Lesson objective: Understand the best measure of center to represent a data set depends on the type and distribution of the data set. Students bring prior knowledge of measures of center and variability from 6.SP.3. This prior knowledge is extended to a...

Lesson objective: Understand that reporting data includes reporting the context in which the data was collected. Students bring prior knowledge of collecting data to answer a statistical question from 6.SP.1. This prior knowledge is extended to explaini...

Lesson objective: Apply knowledge of reporting the context behind data collection to create a complete report to represent a data set. This lesson provides an opportunity for students to apply their knowledge and understanding of reporting the context b...

Lesson objective: Extend the understanding that reporting data should include not only calculations, but an appropriate data display. Students bring prior knowledge that scaled graphs can be created to represent data from 3.MD.B.3. This prior knowledge ...

Lesson objective: Create histograms to represent a data set. This lesson helps to build procedural skill with creating histograms. Frequency table is used here because it helps students collect and organize the information needed to create the histogram...

Lesson objective: Create a box plot to represent a data set. This lesson helps to build procedural skill with creating box plots. The five number summary is used here because it supports the understanding of which landmarks are shown in a box plot. This...

Lesson objective: Apply knowledge of data displays to create the best data display for the needs of the situation. This lesson provides an opportunity for students to apply their knowledge and understanding of data displays to a mathematical situation. ...