📖 Glossary · Statistics

Percentile Rank

Percentile rank converts scores into position—"better than 80% of the group"—with the small-sample traps to avoid.

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Percentile rank is the share of the group at or below a score. It survives any distribution shape, which makes it the most honest way to position a score in a cohort—80th percentile means ahead of 80% of the group, not 80% correct.

🧮 Formula

PR = (# below + 0.5 × # equal) / N × 100

✏️ Worked example

In a 12-person workshop, moving one question flips several percentiles—small-cohort reports show raw score + band, not PR.

🎯 When to use it

Benchmarking, admissions-style ranking and any client question of "how good is this, really"—with n ≥ 30 for stable readings.

⚠️ Watch out

The classic confusion: percentile ≠ percentage correct. Also, never average percentiles across dimensions—average the z-scores, then convert back.

Questions practitioners ask

Is 90th percentile 'excellent'?

It's position, not quality—if the cohort is elite, 90th can be thin. State the reference group every time.

Small class—percentiles still useful?

Report bands (top/middle/bottom third) instead; exact PRs wobble with every response.

Turn the concept into a live assessment:Percentile Rank

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