Between Two Percentile Ranks — hard Distributions & Shape problem | Incognition

Between Two Percentile Ranks

30 pts · 30 coins

Distributions & ShapeHard

Between Two Percentile Ranks

A clinic logs the waiting time of 80 patients. Using the percentile-rank definition from this course,

$\text{percentile rank of } x = \frac{\text{count of values} \le x}{80} \times 100,$

the records show:

The waiting time 12 minutes has percentile rank 25.
The waiting time 25 minutes has percentile rank 60.
Exactly 7 patients waited exactly 12 minutes.

How many patients waited more than 12 minutes but no more than 25 minutes?

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