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Roxanne completed her first half-marathon, or $13.1$-mile race, in less than $2.5$ hours. She pressed the lap timer on her watch as she passed each mile marker so that after the race, she could look at her mile times. Her fastest mile was completed in $9.5$ minutes, while the slowest took $11.5$ minutes. Her median mile time was $10.5$ minutes, and the interquartile range was $1$ minute.$\newline$Which is a measure of how much Roxanne's mile times varied?$\newline$Choices:$\newline$(A) $1$ minute$\newline$(B) $9.5$ minutes$\newline$(C) $10.5$ minutes$\newline$(D) $11.5$ minutes$\newline$