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Unformatted text preview: Standard Numerical Measures Measures of Center (or Location) Sample Mean : x = x 1 + + x n n = n i =1 x i n Sample Median : the middle number Arrange the n observations from the smallest to the largest If n is odd, the sample median is the middle number: the number in position n +1 2 If n is even, the median is the average of the middlemost two numbers: the average of the numbers in positions n 2 and n 2 + 1 Sample Mode : the value which occurs most frequently in the sample There can be more than one mode What is the relationship between the mean and the median? Data Set One: the number of children for 4 randomly picked families. 2 , 3 , 2 , 4 Median: Mode: Mean: Data Set Two: the number of children for 5 randomly picked families. 2 , 3 , 2 , 4 , 10 Median: Mode: Mean: 1 Characteristics of the Mean and Median: 1. Mean can be highly influenced by the presence of outliers, whereas median in not....
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- Spring '08