Problem 41EC

Law Firm Salaries A back-to-back stem-and-leaf plot compares two data sets by using the same stems for each data set. Leaves for the first data set are on one side while leaves for the second data set are on the other side. The back-to-back stem-and-leaf plot at the left shows the salaries (in thousands of dollars) of all lawyers at two small law firms.

(a) What are the lowest and highest salaries at Law Firm A? at Law Firm B?

(b) How many lawyers are in each firm?

(c) Compare the distribution of salaries at each law firm. What do you notice?

Solution:

Step 1 of 3:

The given stem-and-leaf plot is

a). We have to find the lowest and highest salaries at law firm A, at law firm B.

From the given back-to-back stem-and-leaf plot,

At law firm A, the lowest salary was $90,000 and the highest salary was $203,000.

At law firm B, the lowest salary was $90,000 and the highest salary was $190,000.