For which data representation is the median the better measure of center
Accepted Solution
A:
we know that The Median is the "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle
case a) the data is 3,8,4,8,3 place the numbers in value order-----> 3,3,4,8,8
the middle is 4 so the median is 4
case b) the data is 2,2,3,5,5 place the numbers in value order-----> 2,2,3,5,5
the middle is 3 so the median is 3
case c) the data is 6,2,6,2,6 place the numbers in value order-----> 2,2,6,6,6
the middle is 6 so the median is 6
case d) the data is 1,3,4,3,1 place the numbers in value order----->1,1,3,3,4
the middle is 3 so the median is 3
we know that The Mean is most often chosen when the data is continuous and symmetrical (normal). ------> case a) case c) and case d) If the data has outliers or is skewed, then the mean would paint a skewed view of centrality
The Median is especially useful with skewed distributions as it draws the line right in the middle of your data set------> case b)