variability Flashcards
variability
a quantitative measure of the degree to which scores in a distribution are spread out or clustered together
range
the difference between the the upper real limit for the maximum score and the lower real limit for the minimum score
interquartile range
the distance between the first quartile and the third quartile
semi-interquartile range
one-half of the distance between the first quartile and the third quartile
first quartile
the score (Q1) that separates the lower 25% of the distribution from the rest
second quartile
the score (Q2) that separates the distribution exactly in half; equal to the median
third quartile
the score (Q3) that separates the lower 75% of the distribution from the rest
(population) deviation
distance a given score in a distribution is from the mean (X - μ)
mean deviation
0
population variance
mean squared deviation (σ^2 = SS/N)
(population) standard deviation
square root of the (population) variance (σ = √(SS/N))
sum of squares
(SS) sum of the squared deviation scores; SS = Σ (X - μ)^2
sum of squares computational formula
SS = (ΣX^2) - (((ΣX)^2) / N)
(sample) deviation
distance a given score in a distribution is from the mean (X - X̄)
sample variance
mean squared deviation (s^2 = SS/(n - 1))
(sample) standard deviation
square root of the (sample) variance (s = √(SS/(n - 1)))
degrees of freedom
df = n - 1
How many scores in a distribution are free to vary?
The total degrees of freedom for the distribution; df = n - 1
sample variance related to degrees of freedom
s^2 = ((sum of squared deviations)/(number of scores free to vary)) = SS/df = SS/(n - 1)
What is the standard deviation?
a measure of distance from the mean
How do constants affect the standard deviation?
changing each score with a constant changes the standard deviation with the same constant
Which measure of variability is least affected by extreme scores?
semi-interquartile range
Which measure of variability is most affected by sample size?
range
Which measure of variability is least stable under sampling?
range
Which measure of variability is best for open-ended distributions?
semi-interquartile range