# Question: Stem and leaf displays can be used to compare distributions for two

Stem-and-leaf displays can be used to compare distributions for two groups using a back-to-back stem-and-leaf display. In such a display, one group is shown on the left side of the stems, and the other group is shown on the right side. When the leaves are ordered, the leaves increase as one moves away from the stems. The following stem-and-leaf display shows the money earned per tournament entered for the top 30 money winners in the 2008–09 Professional Bowlers Association men’s tour and for the top 21 money winners in the 2008–09 Professional Bowlers Association women’s tour.
The leaf unit for this display is 100. In other words, the data used represent the earnings in hundreds of dollars. For example, for the women’s tour, the first number is 08, which is actually 800. The second number is 11, which actually is 1100.
a. Do the top money winners, as a group, on one tour (men’s or women’s) tend to make more money per tournament played than on the other tour? Explain how you can come to this conclusion using the stem-and-leaf display.
b. What would be a typical earnings level amount per tournament played for each of the two tours?
c. Do the data appear to have similar spreads for the two tours? Explain how you can come to this conclusion using the stem-and-leaf display.
d. Does either of the tours appears to have any outliers? If so, what are the earnings levels for these players?

Sales0
Views66