Chapter 13.1, Problem 39ES

Consider the data in the following table.

Summary of Yards Gained in Two Foothill Games

• In the first game. Barry has the better average.

• In the second game. Barry has the better average.

• If the statistics for the games are combined. Warren has the better average. You may be surprised by the above results. After all, how can it be that Barry has the better average in game 1 and game 2, but he does not have the better average for both games? In statistics, an example such as this is known as a Simpson’s paradox.

Form groups of three or four students to work Exercises 39.

Consider the following data.

Is this an example of a Simpson’s paradox? Explain.