It may help to know that “quantile” is just a more general term that includes “percentile.” If you understand what percentile means (i.e. that a record in the 85th percentile has a higher value than 85% of the data), then any other quantile is the same concept, but breaking the data into a different number of pieces than 100. For example, “quartiles” break the data into 4 equally sized pieces where, e.g., a record in the 3rd quartile has a higher value than any record in the 1st or 2nd quartile. Some others:
-Tercile – 3 pieces
-Quintile – 5 pieces
-Decile – 10 pieces
-Vigintile – 20 pieces (you can thank France for this weirdo)
All of these (along with percentile) are quantiles.
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