Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. 
Home Univariate Data Measures of Location Quantiles  
See also: Median, Interquartile Range, Distributions, Quartile, The Term "significant"  
Quantiles
Another numerical descriptor for the span of frequency distributions is the quantile (or fractile). A pquantile is defined as the xvalue of the distribution which includes p*N observations, with 0<p<1 and N being the number of observations. An example may clarify this: the 0.1quantile (0.1fractile) of the distribution shown below is 14.6, as it includes 10 % of all observations (starting from the left). The pquantile is also called Ppercentile, with P=p*100; a 0.12quantile could be designated as 12percentile, as well. There are a few special quantiles which have their own definition: Quartiles refer to quarters of the distribution, deciles to the tenth part:


Home Univariate Data Measures of Location Quantiles 
Last Update: 20121008