Project AMP Dr. Antonio Quesada – Director, Project AMP
Who is the Greatest Homerun Hitter of all Time Abstract
Subject: Algebra, Statistics
Strand: Data Analysis
Topic: Analyzing Data, Box plots, distributions
Grade: 9-12
Objectives:
1. Use a graphing calculator to calculate a five number summary for a given problem situation.
2. Set-up and graph a box and whisker plot for each of the homerun hitters
3. Make a conjecture as to who is the greatest homerun hitter of all time.
4. Synthesize findings in a written report and/or electronic presentation including charts and graphs
Materials TI-83, Worksheet
Expected Time: 2 days
Who’s the Greatest Homerun Hitter of all time?
Overview
Authors: Dave Erb & Donna Duve
Description: Graph, explore, and analyze data using box and whisker plots.
Keywords: Box and Whiskers graph, mean, median, quartiles, basebal, statistics
Prerequisites: Some knowledge of how to set-up stat plots on a TI-83
Grades: 9-12
Subjects
Social Sciences
Mathematics
Speech
Writing
Concept
1. Predictions and generalizations by use of mathematical graphs is an essential skill in a multimedia world.
2. Available technologies have a large impact on society.
3. Effective communication of data to represent trends is an important life skill.
4. Working cooperatively with peers is essential to the success of individuals and companies.
Assessment
Rubrics
Student presentation
Written explanation
Sharing
Electronic presentation software or overhead projector can be used for students to present their regression models and analysis of the model of best fit. Presentations will be made to other teachers and classes as well as in class.
Results
Students will have explored the techniques of trying to support a hypothesis through data representation. They will have a better understanding of how statisticians view data. Students will also have a better understanding of graph models and the box and whiskers plot in particular.
Learning Objectives
5. Use a graphing calculator to calculate a five number summary for a given problem situation.
6. Set-up and graph a box and whisker plot for each of the homerun hitters
7. Make a conjecture as to who is the greatest homerun hitter of all time.
8. Synthesize findings in a written report and/or electronic presentation including charts and graphs
The following is a list of the Learning Outcomes associated with this lesson lab
OPO Ninth-Grade Math 12
OPO Twelfth-Grade Math 5
OPO Twelfth-Grade Math 6
OCBM Grade Eleven – Integrated Strand One – 3
OCBM Grade Eleven – Integrated Strand Five – 8
OCBM Grade Eleven – Integrated Strand Five – 10
OCBM Grade Eleven – Integrated Strand Eight – 2
Project/Task
Graph, interpret, and calculate a five number summary and a box and whisker plot related to the homerun hitters.
Learning Strategies
1. Begin by having students explore the data on the homerun hitters
2. Present project through worksheet
3. Group students to analyze data and prepare presentations
4. Have students prepare presentations
5. Conduct presentations.
Tools/Resources
TI-83 or TI-83+ Calculator
TI-Graph Link
Teacher prepared data and problem statement
Computer programs for web browsing and electronic presentation
Do and How
1. Present data on Homerun hitters via overhead or electronic projection
2. TI-graph link is a cable and software package from Texas Instruments, which allows the user to place calculator screens into word processing documents and presentation software.
Classroom Management
Assign small groups of three students. Discuss teamwork and cooperation by helping students set up team structure and accountability processes.
Teacher should introduce problem and emphasize what is to be accomplished. Teacher will oversee completion of analysis and development of presentation materials.
Adendum WS
Who is the Greatest Homerun Hitter of all Time?
The following data is the number of homeruns hit by the player in the years that they played.
Hank Aaron 10 12 20 40 34 47 38 44 29 39 44 32 24 44 45 34 40 39 30 44 26 27 13
Babe Ruth 0 4 3 2 11 29 54 59 35 41 46 25 47 60 54 46 49 46 41 34 22 6
Mark McGwire 3 49 32 33 39 22 42 9 9 39 52 58 70 44
1. By examining the data above, tell which player you feel is the best homerun hitter of all time and give justification for your response.
2. Calculate a five number summary and the mean for each of the data sets listed above:
Henry Aaron / Babe Ruth / Mark McGwireMinimum
Lower Quartile
Median
Upper Quartile
Maximum
Mean
3. Make a box and whiskers plot for each of the data sets listed above. Show all three on the same set of axes. Clearly label the axes.
4. Based on your results in Problems 2 & 3, whom do you now consider the greatest homerun hitter of all time?
5. Determine the range, the interquartile range, and the standard deviation for each homerun hitter.
Henry Aaron / Babe Ruth / Mark McGwireRange
IQR
Standard Deviation
6. Does the information in Problem 5 confirm or reject your answer to Problem 4. Explain how.
7. Summarize your findings from this project by writing a paragraph that tells whom you believe is the greatest homerun hitter of all time. Please cite specific statistical data to support your decision.