Chapter 2.3
Descriptive Statistic

Knowledge Base Math


Overview

When we are given our data set of the from x1,x2,,xn, we are interested in measuring several characteristics of the data set. Typically, they are the location (particular its center), and variability of the data set.

For a given set of numbers, x1,x2,,xn, the sample mean x is given by

x-= x1 +-x2 +-...+-xn-
           n
(2.3.1)



The sample median is obtained by first ordering the n observations from smallest to largest, that means

    (  n+1 th
    ||{ (-2-)  ordered value                     if n is odd
^x =             n        n
    ||( average of (2 )th and (2 + 1)th ordered values if n is even
(2.3.2)