Boxplot analysis of 2001 NCAA Men's Basketball Championship Game.

College Basketball is a very popular sport in the United States, especially during "March Madness" when the NCAA Tournament begins.  The Tournament is always filled with lots of surprises.  It is a single-elimination tournament, where 65 teams are invited to play.  The 64th and 65th seed team play first.  The winner goes on to play in the field of 64 teams while the loser goes home.  The 64 teams are divided into 4 regions, East, South, Midwest, and West.  The teams are seeded according to their record in the regular season.  Winners of the first round move on to the second round.  Winners of the second round progress to the "Sweet Sixteen" and likewise for the "Elite Eight".  The winners of each region become the "Final Four".    

In 2001, the "Final Four" consisted of Duke, the East winner, Maryland, the West winner, Michigan State, the South winner, and Arizona, the Midwest winner.  Arizona defeated Michigan State, 80-61, and Duke defeated Maryland, 95-84.  The championship game between Duke and Arizona was an anticipated match up between the top two pre-season teams in the nation.  In an exciting game, Duke eventually prevailed by a score of 82-72.  

In this activity, you will generate a boxplot to analyze the scoring averages of Duke and Arizona in the championship game. Using the Boxplot Program and Instructions, construct a boxplot of the data to analyze the distribution of the points scored while paying close attention to outliers.  You can also use a TI-83 calculator.  

This data exists in three files; one is in Excel data format, one is in a text format, and one is in TI-83 Group format.

Is the scoring evenly distributed between the players on either team?  Refer to the boxplot to explain your answer.  What is the median number of points scored by players on the Duke team?  What is the median number of points scored by the highest scoring players on the Arizona team? What boxplot had the longest whisker, Duke or Arizona?  Why is the whisker so far from the right hinge?   

 


Copyright © 2001 Central Virginia Governor's School for Science and Technology Lynchburg, VA