Quantile

A quantile is a statistical value that divides a data set into equal-sized intervals. It helps in understanding the distribution of data. Common types of quantiles include:

Quartiles (4 parts) – Q1 (25th percentile), Q2 (median or 50th percentile), Q3 (75th percentile)

Deciles (10 parts)

Percentiles (100 parts)

For example, the median (Q2) is the 50th percentile, meaning half the values are below it and half are above.

Quantile Media

Probability density of a normal distribution, with quantiles, $Q 1$ , $Q 2$ , and $Q 3$ , are shown. The area below the red curve is the same in the intervals $(-\infty, Q 1)$ , $(Q 1, Q 2)$ , $(Q 2, Q 3)$ , and $(Q 3,+\infty)$ .

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