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Quartile In statistics, a quartile, a type of quantile, is three points that divide a sorted data set into four equal groups (by count of numbers), each representing a fourth of the distributed sampled Interquartile Range Definition The interquartile range defines the difference between the third and the first quartile. Quartiles and percentiles are both types of quantiles. The first quartile, Q1, is the same as the 25th percentile, and the third quartile, Q3, is the same as the Test your Mathematics knowledge with this 10-question quiz. Quiz - A series of multiple choice questions. We ordinarily deal with a large amount of numerical data, in stats. Practise processing the sets of numbers to find the lower and upper quartiles. 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