Consider the five number summary for salaries of U.S. marketing managers. $$\begin{array} { | c | c | c | c | c | }
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 46360 & 69693 & 77020 & 91750 & 129420 \
\hline
\end{array}$$ Suppose the marketing manager who was earning $129,420 got a raise and is now earning $140,000. Which of the following statement is true?
A) The mean would increase.
B) The median would increase.
C) The range would increase.
D) Both A and C.
E) All of the above.

Question

Consider the five number summary for salaries of U.S. marketing managers. $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 46360 & 69693 & 77020 & 91750 & 129420 \
\hline
\end{array}$$ Suppose the marketing manager who was earning $129,420 got a raise and is now earning $140,000. Which of the following statement is true?
A) The mean would increase.
B) The median would increase.
C) The range would increase.
D) Both A and C.
E) All of the above.

Quizplus · Accepted Answer

The mean would increase because it is sensitive to all values, including the highest salary. The range would also increase as it is the difference between the maximum and minimum values, and the maximum salary has increased. The median remains unchanged as it is the middle value, unaffected by changes at the extremes.

Consider the Five Number Summary for Salaries of U Suppose the Marketing Manager Who Was Earning $129,420 Got a Managers