Question

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 available below shows the salaries​ (in thousands) of all lawyers at two small law firms. Complete parts​ (a) and​ (b) below.
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Part 1

​(a) What are the lowest and highest salaries at Law Firm​ A? at Law Firm​ B? How many lawyers are in each​ firm?

At Law Firm A the lowest salary was ​$


enter your response here

and the highest salary was ​$


enter your response here

.

At Law Firm B the lowest salary was ​$


enter your response here

and the highest salary was ​$


enter your response here

.

Answer 1

The true statements are:

• 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 ​$195,000
• There are 30 lawyers in Law Firm A, and 32 lawyers in Law Firm B

How to calculate the lowest salaries

To calculate the lowest salaries, we simply consider the smallest stem and the smallest leaf of both plots.

From the figure, we have the following highlights

• The least stem and leaf of both Law Firms plot are 90 and 0

Hence, the lowest salary of both law firms is $90,000

How to calculate the highest salaries

To calculate the highest salaries, we simply consider the highest stem and the highest leaf of both plots.

From the figure, we have the following highlights

• The highest stem and leaf of Law Firm A are 20 and 3
• The highest stem and leaf of Law Firm B are 19 and 5

Hence, the highest salary of law firm A is $203,000, while the highest salary of law firm B is $195,000

The number of lawyers in both firms

This is the number of leaves in both plots

Hence, there are 30 lawyers in Law Firm A, and 32 lawyers in Law Firm B

Read more about stem and leaf plots at:

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