- Mean
- Sensitive to the exact value of all scores in the distribution
- Sum of deviations about the mean equals zero
- Sensitivity to Extreme Scores
- Sum of squared deviations of all scores about the mean is a minimum
- Sensitivity to Sampling Variation
- Can figure out overall mean if have mean and n of subgroups
Median
Value below which 50% of the scores fall - P50
Centermost score if odd number of scores
Average of centermost scores if even number of scores
Sensitivity to Extreme Scores
Sensitivity to Sampling Variation
Mode
Most frequent
Unimodal vs. bi-modal
Central Tendency and Symmetry
Unimodal and symmetrical -
Skewed -
Variability -
Logic
Range -
Deviation -
What if add deviations?
What else could you do? What if square the deviations?
How useful is the sum of squares?
How useful is the variance?
Variance is useful later on.
Alternative Formula -
Properties of SD
Measure of dispersion relative to the mean
Sensitive to each score in the distribution
Stable with regard to sampling fluctuations