There are five students of different ages whose median age is $13$ years.

1. What are two possibilities for the ages of the three oldest students?

   Hint (a):

   If we know that $13$ is the median age, what do we know about the set of numbers? Do you know where $13$ would fall in the set of five numbers?

2. If each student is a different age, how many students must be younger than $13$?

   Hint (b):

   Remember that to find the median, it is helpful to put numbers in order from least to greatest.

   Answer (b):

   Two students must be younger than $13$. Because $13$ is the median age, we know that the sequence looks something like this: ?, ?, $13$, ?, ?. Because the numbers are arranged from least to greatest, we know that the two students represented to the left of $13$ are younger.

3. In complete sentences, describe what a median is to another student in the class. Pretend that the student was absent the day you learned about medians.

   Hint (c):

   It may be helpful to look at the definition of median in your textbook on page $54$.