Chapter 9 - SHEN'S CLASS NOTES Chapter 9 Medians and Order...

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SHEN’S CLASS NOTES 1 Chapter 9 Medians and Order Statistics Suppose a 1 < a 2 < a 3 < … < a n are n numbers. a 1 is called the first order statistics (or, the minimum number). a 2 is called the second order statistics (the 2nd smallest number). …… a i is called the ith order statistics (the ith smallest number). a n is called the nth order statistics (also the maximum number). If n is an odd number then the index i = ( n +1)/2 is the midpoint and a i = a ( n +1)/2 is called the median. If n is an even number then a i = a ( n +1)/2 is called the lower median, and a i = a ( n +1)/2 is called the upper median.
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