Back to topics

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?

5–7 min

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

Ready to try your ideas aloud?

Your topic carries over. Record up to 2½ minutes, depending on your plan.

Maths and statistics

How is random sampling different from random assignment?

A study can choose people at random, assign them to groups at random, do both, or do neither. Those choices answer different problems: who the findings may describe, and how fairly the study compares conditions.

3–5 min
Maths and statistics

What does a poll’s margin of error leave out?

A poll's neat plus-or-minus figure can make its uncertainty look more complete than it is. Sampling variability is only one source of error; wording and who takes part can also affect the result.

4–5 min
When one long wait changes the average | Speech Topic | speaking.app