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Quantiles and Percentiles

A practical guide to converting between probability levels and data thresholds.

Try This In The Plotter

Jump directly into the percentile threshold workflow and apply this guide on a live distribution chart.

Open Interactive Percentile Threshold

Quantiles As Inverse CDF

The p-quantile xp solves F(x_p) = p.

Quantiles answer threshold questions like what value marks the top 10%.

Percentiles In Practice

The 90th percentile means 90% of observations are expected at or below that value.

Percentiles are common in exam scores, quality limits, and risk thresholds.

Common Interpretation Mistakes

Do not confuse percentile rank with percent increase.

A percentile does not imply fixed spacing between values across the scale.