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?
Answer
A
There are more math teachers than science teachers at Mike’s school.
B
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.
C
The average age of the math teachers at Mike’s school is greater than the average age of the science teachers.
D
The oldest teacher in Mike’s school is a mathematics teacher.
Explanation
Variability describes how spread out the ages are. Since the math teachers’ ages have greater variability, their ages are more spread out; the most likely statement is that the range—the difference between the oldest and youngest ages—is greater for the math teachers. The same median does not tell us which group has more teachers or a higher average, and greater variability alone does not establish who is the oldest teacher.
AI-written and checked against the verified answer.