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How can two streets both claim to be the steepest?

“Steepest” sounds like a single measurement until you ask where and over what distance it was taken. A curved street can have different gradients along different paths. Guinness World Records’ 2020 review of two contenders makes the problem concrete: a comparison needs a shared measuring convention, not just two impressive-looking numbers.

3–7 min

Questions you could explore

  • How does rise divided by horizontal run differ from an angle in degrees?
  • What changes when you compare the steepest short segment instead of an average for the whole street?

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Maths and statistics

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
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
How can two streets both claim to be the steepest? | Speech Topic | speaking.app