2.6 Measure of Center Flashcards
What are the two ways to think about center?
Balancing point and Halfway point
Symmetric Distribution
the mean is a good representation of a typical value of the data set
Properties of the Mean
skewed distributions can pull the mean towards its long tail, the mean might not be the most appropriate measure of center for skewed data sets
Balancing point
Mean
Halfway point
median
best measure of data for a skewed distribution
median
Properties of the Median
median is more Robust, not affected by outliers
Symmetric
mean will usually be close to the median
Skewed left
mean will usually be smaller than the median
Skewed right
mean will usually be larger than the median
Mode
noted as modality in plots rather than the actual quantity
Midrange
more rudimentary measure of center mentioned in some texts
max+min/2