There are 5 students in a room. The mean age is 20.120.1 years, and the median...
There are 5 students in a room. The mean age is 20.120.1 years, and the median age is 19 years.
If the youngest person leaves and is replaced by a person who is even younger, what happens to the mean and median?
Homework Answers
Mean is the sum of ages of 5 students in the room divided by 5.
So if the youngest person is replaced by a person with even younger age, then the sum of ages of students will decrease.
Thus the mean age will decrease.
However the median is the age of 3rd person in order.
So if the youngest person is replaced by a person even younger, then the ordering of ages among persons do not change and so the third person in order will remain the same as previous.
Thus the median age will remain the same. It will not change.
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