Central tendency
numerical values that refer to the center of the distribution
-mode, median, mean
Mode
most commonly occurring score in a set of data
-nominal, ordinal, interval, ratio
-average if two modes are adjacent
-bimodal if separated
Mode advantages
-only one for nominal data
-not affected by extreme scores
Mode disadvantages
not representative of the entire set of data
Outliers
scores that lie far out from the distribution
Median
exact middle of data
-ordinal, interval, ratio
Median location
=(n+1)/2
Median advantages
-not affected by extreme scores
-not affected by undetermined scores
-appropriate measure of central tendency for ordinal
Median disadvantage
-ignores outliers
-not nominal
-limitations in statistical app
Mean
average score, most commonly used
-interval and ratio
Sample mean equation
ƩX/n
Population mean equation
ƩX/N
Mean advantages
-sensitive to all data
-commonly understood
-easily used
-good estimate
Mean disadvantage
-influenced by outliers
Normal distribution
-symmetrical, unimodal
-mean = median = mode
Skewed distributions
mode - tallest point
median - the middle
mean - toward tail
positive - right
negative - left
Mode representation
nominal
Median representation
-ordinal
-interval/ratio - skewed
Mean representation
-interval/ratio - symmetrical