Two companies each analyzed the ages of all of their employees. A summary of the data is shown in the box plots.

Question

Two box plots.Short description, Two box plots.,Long description,
The box plots show the ages of employees for Company A and Company B. The number line goes from 15 to 70 years of age.

Company A. The whiskers range from 18 to 62 years, and the box ranges from 21 to 42 years. A line divides the box at 37 years.
Company B. The whiskers range from 23 to 57 years, and the box ranges from 26 to 42 years. A line divides the box at 37 years.

Question 1
,begin emphasis,Part A,end emphasis,
Based on the data, which value is the same for both data sets?

Question 1 Answer options with 4 options
A.
mean

B.
median

C.
range

D.
interquartile range

Question 2
,begin emphasis,Part B,end emphasis,
Which statement ,begin emphasis,best,end emphasis, compares the ages of the employees at each company?

Question 2 Answer options with 4 options
A.
Both companies have the same number of employees between 37 and 42.

B.
About a fourth of both companies' employees are between 26 and 37.

C.
About half of the employees are older than 37 at both companies.

D.
Company A has m

Answer 1

To answer your questions based on the provided box plots of the ages of employees for Company A and Company B, let's analyze the information given.

Question 1

Part A: Based on the data, which value is the same for both data sets?

Given the information:

• Company A: Median = 37 years
• Company B: Median = 37 years

The medians for both companies are the same as indicated by the line dividing the boxes.

Answer: B. median

Question 2

Part B: Which statement best compares the ages of the employees at each company?

To analyze the options: A. Both companies have the same number of employees between 37 and 42.

• This is not confirmed from the box plots; we can't determine the exact number of employees.

B. About a fourth of both companies' employees are between 26 and 37.

• The range from 26 to 37 includes employees from Company B's interquartile range but we can't directly conclude the same for Company A without more data.

C. About half of the employees are older than 37 at both companies.

• Since the median is 37, it indicates that about half of the employees are younger than or equal to 37 and half are older than or equal to 37 for both companies.

D. Company A has more employees than Company B.

• There is no information given regarding the number of employees in each company.

Given the analysis, the best statement that compares the ages of the employees at each company is:

Answer: C. About half of the employees are older than 37 at both companies.