Distributions and Variability
Type of Unit: Project
Students should be able to:
- Represent and interpret data using a line plot.
- Understand other visual representations of data.
Students begin the unit by discussing what constitutes a statistical question. In order to answer statistical questions, data must be gathered in a consistent and accurate manner and then analyzed using appropriate tools.
Students learn different tools for analyzing data, including:
- Measures of center: mean (average), median, mode
- Measures of spread: mean absolute deviation, lower and upper extremes, lower and upper quartile, interquartile range
- Visual representations: line plot, box plot, histogram
These tools are compared and contrasted to better understand the benefits and limitations of each. Analyzing different data sets using these tools will develop an understanding for which ones are the most appropriate to interpret the given data.
To demonstrate their understanding of the concepts, students will work on a project for the duration of the unit. The project will involve identifying an appropriate statistical question, collecting data, analyzing data, and presenting the results. It will serve as the final assessment.
- Mathematics, Statistics and Probability
- Middle School
A Wrinkle in Time by Madeleine L'Engle (optional, for Reflection)
Measuring tape (1 per measuring station)
Chalk (1 per measuring station)
Rulers (1 per pair or group)
Optional: Stopwatches (clock or watch with second hand will work) (1 per pair or group)
Lesson 1Reviewing Statistical Questions
Lesson 2Collecting & Organizing Data
Lesson 3Outlining A Project Proposal
Lesson 4Construction of A Line Plot
Lesson 7Measures & Data Sets
Lesson 8Matching Stats With Line Plots
Lesson 10Manipulating Data Points
Lesson 13Self Check Exercise
Lesson 14Characteristics Of Data
Lesson 15Reviewing Data Sets
Lesson 16Classroom Project Presentation