DQ1 Week 5 Please respond to this discussion question by Thursday Day 3 Does all statistical data have a mean median or mode Why When is the mean the best measure of central tendency When is the median the best measure of central tendency If there is data that is more than one hopefully many there is a mean or the mathematical average there is a median in odd numbers it is the middle most observed number if even numbers is the mathematical split between two numbers This may be different than the average as taken Two numbers 45 and 60 The average or mean is x1 x2 2 which is 105 2 52 5 The median is 45 2 60 2 1 53 5 The mode is the value of the number with the highest frequency of occurrence As in the single array 4 4 4 7 8 8 9 the mode is 4 as it occurs three times Any of these three terms have a definition of central tendency where any one of these could be utilized to from the discussion of central tendency prior to running the sample One could say the central tendency is in the middle quartile of the data set without knowing what the data is That would be the hypothesis Median is best used for central tendency where outliers exist that tend to skew the data one way or another Lial M Hestwood D Hornsby J and McGinnis T 2010 Quantitative reasoning for business custom e text Boston MA Pearson Addison Wesley
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