This question has two parts. Use the information to answer Part A and Part B.

Question

Information 1
Two companies each analyzed the ages of all of their employees. A summary of the data is shown in the box plots.



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 more employees above the age of 42.

Answer 1

Question 1: Part A

Based on the information provided, we see that both Company A and Company B have a line dividing their box plots at 37 years. This line represents the median.

Answer: B. median

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Question 2: Part B

Now, let's analyze the statements:

A. There is no information on the exact number of employees for each company, so we cannot determine if they have the same number between 37 and 42.

B. The box plots do not provide specific data to substantiate that about a fourth of the employees are between 26 and 37.

C. Since the median is at 37 for both companies, about half of the employees being older than 37 would generally be true for both, given the definition of median.

D. Without more specific details about the full distribution of ages, we cannot conclude definitively that Company A has more employees above 42.

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