Variability
Variability--a quantitative measure of the degree to which scores in a distribution are spread out or clustered together...If there are small differences between scores then variability will be small; if there are large differences between scores then variability will be large.
I. Range
A. use upper and
lower real limits
range = URL Xmax - LRL Xmin
B. quartiles
1. interquartile range:
Q3 - Q1
2. semi-interquartile range:
(Q3 - Q1)/2
II. Standard Deviation and Variance: Populations
A. sum of squares: SS
1. definitional
2. computational
B. Variance
C. Standard Deviation
III. Standard Deviation and Variance: Samples
A. sum of
squares: SS
1. definitional
2. computational
B. Variance
C. Standard Deviation
Practice calculating measures of central tendency & variability
IV. Factors that affect variability
A. Extreme scores
B. Sample size
C. Stability
under sampling
D. Open-ended distributions
V. Relationship to other measures