Chapter 1.5, Problem LC

(a)

To determine

To calculate: The GB for Atlanta and Philadelphia from the table:

$\begin{array}{lllll}\text{team}\hfill & \text{won}\hfill & \text{lost}\hfill & \text{pct}\text{.}\hfill & \text{GB}\hfill \\ \begin{array}{l}\text{New york}\\ \text{Atlanta}\\ \text{Philadelphia}\end{array}\hfill & \begin{array}{l}38\\ 35\\ 34\end{array}\hfill & \begin{array}{l}24\\ 29\\ 31\end{array}\hfill & \begin{array}{l}0.613\\ 0.547\\ 0.523\end{array}\hfill & \begin{array}{l}-\\ ?\\ ?\end{array}\hfill \end{array}$

(b)

To determine

To calculate: The GB for Chicago where Pittsburgh has higher percentage of wins than Chicago. And so Pittsburgh is in first place and the table is:

$\begin{array}{lllll}\text{team}\hfill & \text{won}\hfill & \text{lost}\hfill & \text{pct}\text{.}\hfill & \text{GB}\hfill \\ \begin{array}{l}\text{Pittsburgh}\\ \\ \text{chicago}\end{array}\hfill & \begin{array}{l}18\\ \\ 22\end{array}\hfill & \begin{array}{l}13\\ \\ 16\end{array}\hfill & \begin{array}{l}0.581\\ \\ .579\end{array}\hfill & \begin{array}{l}-\\ \\ ?\end{array}\hfill \end{array}$

(c)

To determine

That Chicago is actually behind Pittsburgh in terms of statistics GB.

(d)

To determine

To calculate: The deficit for Atlanta, Philadelphia and Chicago and the tables are:

$\begin{array}{lllll}\text{team}\hfill & \text{won}\hfill & \text{lost}\hfill & \text{pct}\text{.}\hfill & \text{GB}\hfill \\ \begin{array}{l}\text{New york}\\ \text{Atlanta}\\ \text{Philadelphia}\end{array}\hfill & \begin{array}{l}38\\ 35\\ 34\end{array}\hfill & \begin{array}{l}24\\ 29\\ 31\end{array}\hfill & \begin{array}{l}0.613\\ 0.547\\ 0.523\end{array}\hfill & \begin{array}{l}-\\ ?\\ ?\end{array}\hfill \end{array}$

And,

$\begin{array}{lllll}\text{team}\hfill & \text{won}\hfill & \text{lost}\hfill & \text{pct}\text{.}\hfill & \text{GB}\hfill \\ \begin{array}{l}\text{Pittsburgh}\\ \\ \text{chicago}\end{array}\hfill & \begin{array}{l}18\\ \\ 22\end{array}\hfill & \begin{array}{l}13\\ \\ 16\end{array}\hfill & \begin{array}{l}0.581\\ \\ .579\end{array}\hfill & \begin{array}{l}-\\ \\ ?\end{array}\hfill \end{array}$

(e)

To determine

If it is possible for GB or D to be negative and whether it makes any sense or not.

(f)

To determine

The values of GB or D for each of the three teams and compare it, which is a better measure of how far a team is from first place.