quantile
Sign in to savethumb|Probability density of a normal distribution, with quantiles, , , and , are shown. The area below the red curve is the same in the intervals , , , and .
Article
14 sectionsContents
- Quantiles of a population
- Examples
- Even-sized population
- Odd-sized population
- Relationship to the mean
- Estimating quantiles from a sample
- The asymptotic distribution of the sample median
- Approximate quantiles from a stream
- Discussion
- Other quantifications
- See also
- References
- Further reading
- External links
thumb|Probability density of a normal distribution, with quantiles, , , and , are shown. The area below the red curve is the same in the intervals , , , and .
In statistics and probability, quantiles are cut points dividing the range of a probability distribution into continuous intervals with equal probabilities or dividing the observations in a sample in the same way. Common quantiles have special names, such as quartiles (four groups), deciles (ten groups), and percentiles (100 groups). The groups created are termed halves, thirds, quarters, etc., though more often the terms for the quantile are used for the groups created, rather than for the cut points.