Park City Mathematics Institute
Data, Statistics, and Probability
Exercise and Cholesterol Level
by Oscar Chavarria, Judith Carlin, and Meiling Dang
WHAT IS IT?
A Fathom 2 classroom activity that could be adapted for work in groups or individual project depending on the experience of the students in data analysis asks the question: Is this reasonable?
Through simulation, students investigate how likely, or unlikely, it is to obtain results similar to those presented in a hypothesized study. Multiple samples and measures are then collected using Fathom. The activity concludes by discussing how the original experimental design can be improved.
7 - 12
40-50 minutes for activity
Part I is designed to be done in groups of two or three. Part II can be done as a whole-class discussion. Part III is an extension activity that can be assigned individually.
TI-83, TI-84 (or equivalent capable graphing calculators)
Computer with Fathom™ 2 software
- Use Fathom to analyze data and create a simulation
- Determine the reasonableness of experimental probabilities
- Interpreting experimental designs and types of bias
- Familiarity with a variety of visual displays: histogram and other plots
- Familiarity with comparing groups, making conclusions about groups with evidence
- Analyzing the information in a visual display
Back to PCMI Resources for Teachers
PCMI@MathForum Home || IAS/PCMI Home
© 2001 - 2014 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
Send questions or comments to: Suzanne Alejandre and Jim King
With program support provided by Math for America
This material is based upon work supported by the National Science Foundation under Grant No. 0314808 and Grant No. ESI-0554309. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.