A certain company keeps a list of 50 employees and their annual salaries. When the salary of the very highly paid president is added to this list, which of the following statistics is most likely to be approximately the same or nearly the same for the original list and the new list?
A)The highest salary
B)The range
C)The mean
D)The median
E)The standard deviation

Question

Quizplus · Accepted Answer

Adding the president's salary, which is very high, will significantly affect the highest salary, range, mean, and potentially the standard deviation. However, the median, which is the middle value, will be least affected because it depends on the order of the numbers rather than their values. With 50 employees, the median is the average of the 25th and 26th highest salaries. Adding one more salary (the president's) shifts the median to the new 26th salary, which should be very close to the original median value.

A Certain Company Keeps a List of 50 Employees and Their