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Quartile
Quartiles are location measures of a distribution of observations. Quartiles separate a distribution into four parts. Thus there are three quartiles for a given distribution. Between each quartile we find 25% of the total observations:
Note that the second quartile equals the median.
MATHEMATICAL ASPECTS
Calculation of the quartile is similar to that of the median. When we have all the observations, quartiles are calculated as follows:
- The n observations must be arranged in the form of a frequency distribution.
- Quartiles correspond to observations for which the relative cumulated frequency exceeds 25%, 50%, and 75%. Certain authors propose the following formula, which allows to determine with precision the value of different quartiles: Computation of jth quartile:Let i be the integer part of
and k the fraction part of .Let x i and x i + 1 be the values of the observations respectively in the