# note04 - pth percentile of a sample the value of a point in...

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p th percentile of a sample: the value of a point in the data set when p is a number between 0 and 100, divides the sample so that as nearly as possible p % of the sample values are less than the p th percentile. Order the sample values from smallest to largest. Then compute the quantity p 100 ( n + 1), where n is the sample size. If this quantity is an integer, the sample value in this position is the p th per- centile. Otherwise, average the two sample values on either side. Quartiles Q 1 = lower quartile = 25% percentile = lower fourth 25 100 ( n + 1)th in the data set Q 3 = upper quartile = 75% percentile = upper fourth 75 100 ( n + 1)th in the data set IQR = Q 3 - Q 1 Box Plots Graphs are based on the five number summary: minimum, Q 1 , median, Q 3 , maximum Steps in the Construction of a Boxplot Compute the median, Q 1 and Q 3 . Indicate these with horizontal lines. Draw vertical lines to complete the box.

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