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Descriptive Statistics Descriptive Statistics Continuous Variables (cont.) I Quantiles or percentiles: Can generally be used to describe central tendency, spread, symmetry, heavy tailedness, etc. I I I I I The p th sample quantile, xp is the value such that the fraction p of observations fall below the value. The p th population quantile, is the value x such that pr (X ⤠x) = p Sample median is the 50th percentile or 0.5 quantile Quartiles: (Q1 , Q2 , Q3 ) are the (25th , 50th , 75th ) Quintiles: (Q1 , Q2 , Q3 , Q4 ) are the (20th , 40th , 60th , 80th ) 19 / 34