the median age of the science teachers at mike's school is the same as the median age of the math teachers, but the ages of
the math teachers show greater variability. which statement most likely describes the data sets?
the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the
oldest and youngest science teachers.
there are more math teachers than science teachers at mike's school.
the average age of the math teachers at mike's school is greater than the average age of the science teachers.
the oldest teacher in mike's school is a mathematics teacher.

Part 1
First, we need to rearrange the data into increasing order. In determining the interquartile range of the given data, we need to find the third and first quartiles. It happened that the first quartile is the second element, and the third quartile is the fifth element of the rearranged data set. So, the interquartile range of this set of weights is the difference between the second and fifth elements of the set after it has been ordered from least to greatest.

Part 2
The variability of the set of data is a measure of the closeness of the individual data from each other. Greater variability indicates that the data in the set are farther from each other. Therefore,  this variability dictates that the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers.