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Quantile
The quantiles are the number of cuts between which we divide a set of cases, to make groups with a number of similar cases. The most commonly used quantiles are quartiles (4 cut-offs), quintiles (5 cut-offs), deciles (10 cut-offs) and percentiles (100 cut-offs).
Quartile
The quartiles are those values of the variable that divide it into quarters, ordering the values from smallest to largest. This division distributes the number of values of the variable into four similarly distributed The first quartile is the 25% of the smallest values. The second quartile has 25.01% to 50% of the smallest cases. The third quartile has 50.01% to 75% of the smallest cases. The fourth quartile brings together the last group of values, which represents the highest values in the sample.