STAT 1000Q Lecture Notes - Lecture 2: Percentile, Interquartile Range, Data Set

• School: UConn
• Department: Statistics
• Course: STAT 1000Q
• Professor: Zhanna Pozdnyakova

Document Summary

Measures of relative standing, box plots, and linear regression. The pth percentile of a set of measurements is a value for which: At least p% of the measurements are less or equal than that value. At least (100-p)% of all the measurements are greater or equal than that value. Finding the percentile: sort the original data (x1, x2, ,xn, compute the value of the locator, l = p = n p = % n = sample size. Compute the percentile (depends on the value of the location) If l is a whole number, then the percentile is given by xl + xl+1 a. If l is not a whole number, then we round l up [l], and the percentile is x([l]) Step 2: compute the locator = l = p (n) = 20 (8) = 8 = 1. 6 = (1. 6 is not a whole number) Step 3: compute p20 = l = 1. 6, round up to [l] = [2]