When one long wait changes the average
An average wait can sound straightforward until one person waits much longer than everyone else. The mean and median offer two ways to summarize that same group. Their different responses to an unusually large value raise a practical question: what do we want an average to tell us?
Questions you could explore
- Why can a longer wait change the mean while leaving the median unchanged?
- When would changing one waiting time change the median too?
- What can either summary leave out about people's experiences?
Start reading
- OpenStax, Rice UniversityIntroductory Statistics 2e, 2.5: Measures of the Center of the Data
Defines the mean and median, with worked examples showing how each uses the data.
- OpenStax, Rice UniversityIntroductory Statistics 2e, 2.6: Skewness and the Mean, Median, and Mode
Explores how extreme values affect measures of center, while noting that familiar patterns have exceptions.
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